Question
Identify the type of triangle if altitudes AD, BE and CF are equal.
![](data:image/png;base64,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)
- Right-angled triangle
- Obtuse triangle
- Equilateral triangle
- Scalene triangle
Hint:
In geometry, an equilateral triangle is a triangle in which all three sides have the same length.
The correct answer is: Equilateral triangle
From figure, in ΔBEC and ΔBFC,
BC = BC (Common)
BE = CF (given)
∠BEC = ∠BFC = 90°
⇒ ΔBEC ≅ ΔBFC (RHS congruence criterion)
⇒∠EBC = ∠FCB (Corresponding parts of congruent triangles)
⇒ AB = AC ———-(i) (Sides opposite to equal angles are equal)
Similarly, ΔABD ≅ ΔABE by RHS congruence criterion
⇒∠DBA = ∠DAB (Corresponding parts of congruent triangles)
⇒ AB = BC ———-(ii) (Sides opposite to equal angles are equal)
From equation i and ii, AB = BC = AC ⇒ ABC is an equilateral triangle .
Hence the correct option is (a).
BC = BC (Common)
BE = CF (given)
∠BEC = ∠BFC = 90°
⇒ ΔBEC ≅ ΔBFC (RHS congruence criterion)
⇒∠EBC = ∠FCB (Corresponding parts of congruent triangles)
⇒ AB = AC ———-(i) (Sides opposite to equal angles are equal)
Similarly, ΔABD ≅ ΔABE by RHS congruence criterion
⇒∠DBA = ∠DAB (Corresponding parts of congruent triangles)
⇒ AB = BC ———-(ii) (Sides opposite to equal angles are equal)
From equation i and ii, AB = BC = AC ⇒ ABC is an equilateral triangle .
An equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal.
Related Questions to study
A translation is a transformation
A translation is a transformation
From the diagram given below, we can say that ΔABC and ΔPQR are ________.
![](data:image/png;base64,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)
Hence Congruennt is perfect option
From the diagram given below, we can say that ΔABC and ΔPQR are ________.
![](data:image/png;base64,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)
Hence Congruennt is perfect option
Which of the following alphabets has a horizontal line of symmetry?
Hence All of These is the suitable option.
Which of the following alphabets has a horizontal line of symmetry?
Hence All of These is the suitable option.
A translation function is defined by the rule (x, y) → (x + 2, y - 5).
Which choice will be the image of the point (3, 6) under this translation?
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. The algebraic representation will be: (5, 1).
A translation function is defined by the rule (x, y) → (x + 2, y - 5).
Which choice will be the image of the point (3, 6) under this translation?
In this question, we used the concept of translation and found out the points according to the condition given. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. The algebraic representation will be: (5, 1).
Which of the following figures has multiple lines of symmetry (more than one line of symmetry)?
If a line can be drawn separating a figure into two identical pieces, the figure possesses line symmetry. The path is known as a symmetry line. A figure might only contain one line of symmetry, two lines of symmetry, or none at all. So here the figure 4 has more than 1 line of symmetry.
Which of the following figures has multiple lines of symmetry (more than one line of symmetry)?
If a line can be drawn separating a figure into two identical pieces, the figure possesses line symmetry. The path is known as a symmetry line. A figure might only contain one line of symmetry, two lines of symmetry, or none at all. So here the figure 4 has more than 1 line of symmetry.
The result of a translation is _______.
In this question, we used the concept of translation and found out that its an image that is formed after translation. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. Translation is changing of position of the image.
The result of a translation is _______.
In this question, we used the concept of translation and found out that its an image that is formed after translation. We also understood the concept of the cartesian system and the coordinates. In translation, only the position of the object changes, its size remains the same. Translation is changing of position of the image.
Which of the following alphabets has no line of symmetry?
Hence P has no line of symmetry.
Which of the following alphabets has no line of symmetry?
Hence P has no line of symmetry.
A translation of (x, y) → (x + 4, y - 3) is applied to Δ PQR.P (-3, 3), Q (2, 7), R (7, 2). The coordinate of P’ is
The required point has been calculated with the given equation.
A translation of (x, y) → (x + 4, y - 3) is applied to Δ PQR.P (-3, 3), Q (2, 7), R (7, 2). The coordinate of P’ is
The required point has been calculated with the given equation.
Translation is possible
Translation is possible both vertical and horizontal.
Translation is possible
Translation is possible both vertical and horizontal.
Find the value of ∠ABD if AB = AC and DB = DC
![](data:image/png;base64,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)
Find the value of ∠ABD if AB = AC and DB = DC
![](data:image/png;base64,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)
Which of the following relation is correct?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAApkAAAERCAYAAAAwpLx6AAAgAElEQVR4nOzdd1zV9f///9s5LAEVCBHEAQKKYuLEVWjL8S4NU7NyfTRNKzEtNRyAoLhxm5qlpqY5Mlc5UlFREvde4AREcA82h/P8/uEvfm/ebjlwQB/Xy4XLpQ6v83w+Xopw5/l6Do1SSiGEEEIIIYQBaY1dgBBCCCGEePlIyBRCCCGEEAYnIVMIIYQQQhichEwhhBBCCGFwEjKFEEIIIYTBScgUQgghhBAGJyFTCCGEEEIYnIRMIYQQQghhcBIyhRBCCCGEwUnIFEIIIYQQBichUwghhBBCGJyETCGEEEIIYXASMoUQQgghhMFJyBRCCCGEEAYnIVMIIYQQQhichEwhhBBCCGFwEjKFEEIIIYTBScgUQgghhBAGJyFTCCGEEEIYnIRMIYQQQghhcBIyhRBCCCGEwUnIFEIIIYQQBichUwghhBBCGJyETCGEEEIIYXASMoUQQgghhMFJyBRCCCGEEAYnIVMIIYQQQhichEwhhBBCCGFwEjKFEEIIIYTBScgUQgghhBAGJyFTCCGEEEIYnIRMIYQQQghhcBIyhRBCCCGEwUnIFEIIIYQQBichUwghhBBCGJyEzCJKp9Oxbds2vL29adasGQcOHEApZeyyhBBCCCGeiamxCxCPduPGDaZPn87x48cBOHz4MHXr1kWj0Ri5MiGEEEKIp5ORzCIoMzOTzZs3ExkZyQcffIBWq80Nm0IIIYQQxYGEzCLo0qVLzJw5EwcHB4KDg9Hr9cTGxsrjciGEEEIUGxIyi5j09HTWrl3L6dOnGTBgAN7e3jg5OXH8+HG0WvnrEkIIIUTxIKmliNm/fz8LFiygfv369OnTh8zMTHx8fLhy5Qp37twxdnlCCCGEEM9EQmYRcufOHf744w+uXr1Kr169MDExQavVUr58ebRaLXFxcej1emOXKYQQQgjxVBIyi5CtW7fyxx9/0LJlS7p06QKApaUlNWrUQCnF+fPnJWQKIYQQoliQkFlEXLt2jdWrV5OSksJ//vMfUlJSSE5OJjk5mbJly6KU4uDBg+Tk5Bi7VCGEEEKIp5J9MouIVatWsWrVKmxsbNixYwfR0dEopdDr9cTHxwNw5coVGckUQgghRLEgIbMIuHDhAhs3biQzMxMzMzM2bNiQu13Rv5uvm5ubExsbKyFTCCGEEMWCPC4vAubOncv69esZOnQoCQkJXLt2jevXr3P9+nWuXbtGcnIyNWvW5J9//iErK8vY5QohhBBCPJWETCM7fPgw27Zto0GDBrRt2/aR12RkZPDaa68BDzZql9FMIYQQQhR1EjKNbMqUKRw4cIBWrVrRoEGDR16j1WqpU6cOAElJSRIyhRBCCFHkScg0op07d7J7924aNGjA+++//9jrtFotzs7OABw/flwemQshhBCiyNMoORDbaLKysrh37x4mJiaUKlUKU9PHr8NKS0vj/v37lCxZEisrq9wFQUIIIYQQRZGEzEKk1+s5fPgwFy9exNXVlbp168p55EIIIYR4KckWRoVEKUVoaCjLly/nxo0bmJub07NnTwYOHIitra2xyxNCCCGEMCgZRisE2dnZjBo1ilmzZhEbG4u7uztXr15lwoQJfPHFF0RFReVeKwPLQgghhHgZmISEhIQYu4iX3cyZMwkPD+fGjRuEhoYycOBAqlatyrFjx9i7dy9RUVGkpqZSvXp1rKysjF2uEEIIIUS+ScgsYEuWLCEkJITk5GS6d+9OQEAAHh4e1KpVi9q1a5OWlsbu3bvZvXs3169fx9nZOXcluRBCCCFEcSUhswBt2rSJQYMGER8fT9euXQkODqZixYoAmJmZ4eHhQd26dSldujTHjx9n9+7dnD59GgBXV1csLS2NWb4QQgghxAuTkFkAlFJs2bKFwMBATp06RadOnRg5ciTu7u4PXWtvb0+DBg2oWLEiN2/eZNeuXWzfvp20tDQqVKiAg4ODEe5ACCGEECJ/JGQamF6vZ+vWrQwfPpwDBw7w0UcfMW7cONzc3B55vVIKCwsLateuTf369dFqtZw4cYKIiAji4uJwdHSkbNmymJubF/KdCCGEEEK8OAmZBqSUIjIykuDgYPbu3UvTpk2ZOHEi1apVe+x7/ntTdUdHR9566y1sbGy4cOECe/bsYdOmTZiamlK+fHns7OwK4zaEEEIIIfJNQqYBRUdHM3r0aHbs2EG9evWYOnUqdevWfa42zMzMaNiwIY0aNeLevXucOnWKDRs2kJycTJUqVbCzs3viyUBCCCGEEEWBhEwDOXr0KGFhYfz111/UrFmTESNG8N57771we+XLl+ejjz5Co9Fw+vRpoqOj+fvvv7Gzs6NcuXKULFnSgNULIYQQQhiWhEwDiIuLY+zYsSxfvhxvb29GjRpF27Zt892uVqvF19cXHx8fLly4wJkzZ1i1ahV3796lWrVq2NnZyRnmQgghhCiS5OzyfEpMTGTw4MEsXbqUmjVrMnr0aNq0aWPwfpRSDB06lLlz53L79m28vb0JCwvj7bffllFNIYQQQhQ5EjLzISkpiYCAABYtWkTVqlUJCgqiS5cuBdrnhg0bGDRoEGfOnEEpRb9+/fjuu+9wdXUt0H6FEEIIIZ6HnF3+gtLS0hgyZAiLFi2iTJky+Pv7F3jABHj//ffZvXs3/v7+lC5dmhkzZvDJJ5+wbdu2Au9bCCGEEOJZSch8QQEBASxbtowSJUowfPhw+vXrV2h93759mylTpvDLL7/g4uLCvn376NixI4MHD+bq1auFVocQQgghxONIyHwBYWFhLF26FIBJkybh7+9fKP2eOnWKL7/8kpo1azJhwgSaNWvGtm3b6NWrF+np6YSHh/Pxxx8TERFRKPUIIYQQQjyOzMl8TqNGjWL69OmkpqYyevRoevXqRalSpQq0z7i4OGbMmMGCBQtITU3lk08+ITg4OPcUoczMTH7//XdGjBjB+fPnqVy5Mt26dePbb7/FxsamQGsTQgghhHgUCZnPYdSoUcycOZNr164RHh5Oz549sbW1LbD+4uLiWLBgAXPnziU5OZl27drRr18/PD09cXBwyLN9kU6n48CBA8yYMYOlS5diamrKm2++SUhICM2aNSuwGoUQQgghHkVC5jPq168fK1as4Nq1awwfPpxvvvmGsmXLGrwfpRRbt25l9erVbNq0ieTkZHx9fenZsycNGjTAxcXlie9PTk5m/fr1jB49mkuXLlGzZk169OiBv78/ZmZmBq9XCCGEEOJRJGQ+g0WLFtG3b19SUlLw9/cnMDAQR0dHg/YRHx/PX3/9xaZNmzh8+DB6vR4fHx/ef/99mjZtStWqVZ+5rezsbCIiIpg1axbr1q3Dzs6OFi1aMHDgQHx8fAxatxBCCCHEo8gh2E8RERHByJEjSUlJASArK4tr167lO2RmZWVx8uRJDh06xIEDBzh48CCJiYk4ODjw0Ucf8d577+Hl5ZU77/J5mJmZ0bJlS1xcXPDx8WHOnDksX76cuLg4evfuTffu3fNVuxBCCCHE08hI5hNEREQQEBDAgQMH6NKlC7du3eLUqVM4OzvzwQcf8Pbbb+Pu7v7Ux+Z6vZ6kpCSSkpK4evUqZ8+e5ciRI5w4cYI7d+5gZmaGq6srvr6++Pr6Urt2bYMt2MnMzGTdunXMmTOHiIgInJ2d6dKlC926daNGjRoG6UMIIYQQ4n9JyHwEpRTbt29n6NCh7Nu3Dz8/P8LDw8nIyCAiIoLVq1dz7tw5HB0dcXNzo0KFClSsWBE7OzsAcnJy0Ov16HQ67t69S0JCAlevXuXKlSvcv3+ftLQ0bGxscHd3p3bt2tSqVYvXX3/9hUYtn9WBAwf48ccfWbVqFbdv36ZVq1b07t0bPz8/tFrZyUoIIYQQhiUh838opfjnn38YNmwYkZGRvPHGG/zwww/UqlUr95rY2FjWrVvH3r17iY+PJzk5mezsbCwtLdFoNOj1euDBCGZWVhbW1tY4ODhQpkwZnJ2dqV69OrVq1aJOnTqFeu54WloaixcvZt68eezfv5/KlSszYMAA2rZtS6VKlQqtDiGEEEK8/CRk/o+jR48ybNgwNmzYQM2aNZkzZw5NmjR57PWXLl3i0qVLnDt3jmvXrmFiYpL7YWZmhr29PS4uLlSqVIkKFSo8Vy06nY7Tp09z5MgRatasSe3atfN7ewBERkYyadIkNm/eTFZWFh07duSLL77A19cXc3Nzg/QhhBBCiFebhMz/cu7cOcLCwli4cCFeXl6MHDmS9u3bG62e+Ph4Ro0axb59+2jQoAHjxo3jtddeM0jbt27dYvbs2SxZsoTTp0/j4eHBsGHD8PPzM1gfQgghhHh1mYSEhIQYu4iiIC4ujokTJ/Lzzz/j5eVFaGgoHTp0MFo92dnZHDp0iKNHj7Jx40aio6MpUaIElSpVMsgcSktLy9ytka5cucLBgwfZvHkzN27coGLFitjb22NiYmKAOxFCCCHEq0hWfABXrlxhzJgxzJ49G09PT0JCQgwWMFNSUjh37hwXLlzInav5L51OR0JCAmfPniUmJoaLFy9y//594MHcUI1Gg1arJSYmBp1OR+nSpfOc8pNfSimaN2/O4sWL+e6777CxsWHu3Ll07NiRNWvWkJGRYbC+hBBCCPFqeeVD5tWrVxkzZgw//vgjlStXZtCgQXz88ccGafv+/ftMnz6dKlWq4O7uTlpaWp7PR0RE4OfnR7Vq1ahZsyY+Pj5MmDABAHNzc3x8fKhYsSK1a9dGq9XSoEEDg44u/htYnZ2dmTRpEvPnz6dx48bExsbSo0cPhg8fTnJyMjk5OQbrUwghhBCvCPUKS0lJUf369VOAsre3V2PGjDFY2zqdTm3evFkB6oMPPlCAun//fu7nf/31V1W6dGk1efLk3NdmzJihADVs2DCD1fG8Ll26pHr37q20Wq0CVM2aNdWGDRuUXq83Wk1CCCGEKH5e6ZHM0aNHM3fuXCwtLfnmm28YOnSowdq+fPkyY8aM4ZtvvuGNN9546PNjx46lefPm+Pn55b7m5+dH586d2bRpE6mpqQar5Xm4uLgwY8YMVq1ahbe3N8ePH+fjjz8mMDDQKPUIIYQQonh6ZUNmeHg48+bNQynFiBEjCA4ONljbd+/eZenSpZw8eZJp06Y99Lg5NjaW27dv4+3tjYODQ+7rzs7OeHp6cv36dU6cOGGwep6Xubk5bdu2Zd26dfTo0YPU1FQmTpxIkyZNiIqKMlpdQgghhCg+XsmQOX78eCZNmsS1a9f4/vvv8ff3N2j7J06cIDw8nLlz5z602AcgMTGRzMzMR64S12q1pKenc/XqVYPW9CJcXFyYNGkSv/76K+XLl2fPnj20atWKMWPGoGTnKyGEEEI8wSsXMseOHcvUqVNJSkoiJCSEgQMHYm1tbbD2L1y4wE8//cS7777LRx99RHZ29kPX6PV69Ho9ZcqUwcrKKvd1ExMTHB0d0el0jwynxmBnZ0fHjh2JiIjgs88+IyUlhVGjRuHn58eRI0eMXZ4QQgghiqhXKmTOmjWLWbNmkZSUxMCBA+nTpw+2trYGaz8jI4NVq1Zx5MgR5s6dC4CFhQUlSpQAyHOEpEaj4e7du2RmZuZp49atW2i12iITMgHMzMyoXLkykyZNYtq0aVhbW7N+/XpatWrF1KlTH7oHIYQQQghTYxdQWH777TfCw8NJSEigS5cu9OnTBycnJ4P2kZCQQFRUFEePHqVZs2bAg1HLmzdvAlC1alXatWtHixYtsLCwQK/X53nsrJQiJycHCwuLInnqTrly5fj8889p1KgRYWFhrF+/nqCgII4ePcrgwYPx8vIydolCCCGEKCJeiZC5c+dOQkJCuHjxIl26dGHIkCFUqVLF4P04OjoyfPhwunbtik6nAx6c3LN+/XpWrFjB0KFD8fLyok6dOlhYWHD58mVSU1NzH9enpKSQmJiItbU11atXN3h9hlCyZEkaNGjA1KlTqVu3LhMnTuSXX37hxIkT9OnTh06dOuWZAiCEEEKIV9NLHzIjIyMZNGgQMTExdO7cOTfoFYRSpUrh4+ODj49PntcTExNZsWIFPXr0yH3tnXfeYfXq1bRq1Yq2bdsC8Mcff7BmzRratWtHuXLlCqRGQ3Fzc6N///7UqFGDWbNmsWPHDi5evMjJkyf5+uuvCyTECyGEEKL40KiXeJnwzp07CQgIYO/evXz44YeMHTu20B/pZmRkMGrUKMaMGcO9e/coVaoU8GAbo0GDBnHjxg3c3NzQ6/XEx8fj5eXFkCFDcHV1LdQ68+PYsWMsWLCAH374gezsbFq3bk3Pnj1p2bIllpaWuUdkCiGEEOLVYRISEhJi7CIKwv79+wkKCmL37t00adKEsWPHUqtWLaPUYmpqSvny5Xn33XcxMTFBKYW9vT3e3t7odDoyMjIwMzPj7bffxt/fnwoVKhSrYObo6Ej9+vVxcnIiMTGRXbt2ERUVRXp6Oi4uLtjZ2T1XeykpKdy8eZMSJUoY9BhNIYQQQhSel3IkMyYmhkGDBrF+/XqqV6/O3LlzefPNN41dVh5PCpHFKWBC3nr/+ecffvrpJ5YuXUpWVhZdunThyy+/pEGDBpiZmT21rczMTFasWMH27dt5++236dy58yP3ExVCCCFE0fbSjWRevnyZsWPHsmzZMjw9PQkLC6NVq1bGLushTwqRxSlgQt56K1asiK+vL1ZWVly8eJHIyEh27dqVO5pbunTpx7aTlZXF77//zujRo9m6dSv29va0adOm2P15CCGEEOIlC5nx8fFMnjyZ2bNn4+npyciRI/n444+NXdYrRSmFlZUVvr6+VK9endu3b3Pw4EH+/PNP0tPTcXV1pUyZMg8Fx/T0dFauXElYWBhnz56lTZs2fPfdd1SoUMFIdyKEEEKI/HhpQmZSUhKTJk1i6tSpuLm5ERoayqeffmrssl45/4ZHjUaDh4cHbdq0ITs7m5iYGHbu3El0dDROTk44ODjkbnWUlZXFwoULGTlyJOfPn8fPz4/Q0FDq1atX7KYOCCGEEOKBlyJk3r59m5kzZzJ+/HjKlSvH0KFD+fzzz41dluDBiUfNmzfH3d2ds2fPcuLECX777bfcEGppacn8+fMZO3YscXFxfPrpp4wZM4YaNWpIwBRCCCGKsWK/8Cc7O5uJEycyfPhwSpUqRc+ePZkyZYqxyxKPcPPmTYYNG8ayZcu4d+8e7733Hj4+PsydO5ebN2/SqVMnQkND8fDwMHapQgghhMinYh0ylVKMHz+eESNGYGpqytdff83EiRONXZZ4il9//ZX+/ftz69at3Nc6dOjAuHHjcHd3N2JlQgghhDCUYr03zJw5c5g+fToA/fv3l4BZTHTp0oVvv/029zhNeLA3ZmpqqhGrEkIIIYQhFduQOX36dMLCwrh69SpffvklQUFBxi5JPKM5c+YwduxYUlNTad68Oba2tmzatIn333+f8PBw7ty5Y+wShRBCCJFPxTJkTp48mYkTJ5KYmEjfvn0ZPXo0lpaWxi5LPIVSijlz5jBw4EAyMzMJDg7mt99+IyIigg8//JDk5GQGDx7MZ599xqFDh4xdrhBCCCHyoditLv/5558JDw8nLi6OPn36EBQUhL29vbHLEk+h0+mYOHEigYGBZGZmEhQURL9+/bC3t8fR0ZEOHTpQtmxZDh48yNGjR9m1axdKKerWrSsn/gghhBDFULEKmStWrCAsLIzz58/TsWNHAgICcHNzM3ZZ4il0Oh3h4eGEhYWRkZHB8OHDcwMmPNhT08TEhNq1a1O/fn2SkpLYu3cvO3fu5PDhw1SvXh1HR0cj34UQQgghnkexWV2+a9cuvvrqK06ePMmnn37K0KFD8fb2NnZZ4jH+3ePy3r17BAcHM3/+fDIyMhg9ejSff/75Y0ef9Xo98fHxLFu2jEmTJnH9+nV8fHz4+uuv6d69eyHfhRBCCCFeVLEYydy1axcDBw7kyJEjtGnThuHDh1O7dm1jlyWeQKPRcOvWLUJDQ5k9ezZ6vZ6RI0fSp08f7Ozsnvg+W1tb6tSpQ40aNUhMTGTPnj3s37+f2NhYqlSpQpkyZQrxToQQQgjxIop8yNy9ezehoaHs3r2bDz74gKCgIOrVqycnwRRxly9fZtKkSfzwww+YmJgQGBjI119/jY2NzTO939zcHE9PT7y9vbG2tmbfvn1ERUVx6tQpSpYsiZeXVwHfgRBCCCHyo0iHzMOHDxMYGMi2bduoXbs2Y8eOpXHjxhIwi7jExERmzJjB5MmTKVGiBAEBAXzzzTfPHDD/pdFocHZ2pmHDhri5uXHlyhWioqI4fPgwqampVKpU6bnbFEIIIUThKLIh89q1awwcOJCNGzdStWpVJkyYwLvvvmvsssQzyM7OZu/evcTGxuLv78+AAQOwtbV94fYsLS2pXbs2VapUITMzk7179/L3339z+fJl7Ozs5JQgIYQQoggqkiEzOTmZMWPGsGjRIqpWrcro0aPx8/MzdlniGVlaWuLu7s7rr7/OJ598YrAtplxdXfH19aVs2bIkJCQQGRnJsWPHMDMzo2LFinlOEBJCCCGEcRW51eWJiYlMmjSJyZMn4+HhQXBwMF27djV2WeI5/LuyvCD9+eefzJgxg7///hsrKyu6dOlC9+7dadiwoeyrKYQQQhQBRWok89q1a0ybNo2JEydSqVIlQkJC6Ny5s4SGYqYw5sxWrVoVX19fTE1NiYuLY9u2bRw5cgQ7OzsqVqyIhYVFgdcghBBCiMcrMiHz3r17zJs3jxEjRmBnZ0dgYCC9evWSgCkey9bWlhYtWlCuXDkSExPZt28fW7duRafTUbFiRWxtbeXrRwghhDCSIvG4PD09nYULFzJgwABMTU3p1q0bs2bNMnZZohg5e/YsYWFhrF+/nrt379KkSROGDx/Ou+++K6OaQgghhBEYfSRTp9Mxf/783IDZvXt3CZjiuZUpU4Z27drh5OTEpUuXOHDgAJs2bcLU1JRatWphYmIio5pCCCFEITLqSGZOTg6LFy8mODiYpKQkvvzyS6ZPn26scsRL4uTJkwQGBrJmzRq0Wi1vvfUWo0aNolGjRhI0hRBCiEJi1JA5b948QkJCSEhIoHv37syePZsSJUoYqxzxEklJSWHJkiVMmDCBCxcuYGdnR3BwMAMGDCiU1e9CCCHEq85oIXPx4sWEhYURExNDhw4dmDVrFg4ODsYoRbzEzpw5w5AhQ1i7di0WFha0aNGCcePGybGUQgghRAEzyrPDJUuWMGrUKGJiYmjfvj3jxo2TgCkKRLVq1fjpp5+YMmUK1tbWrF+/niZNmvDjjz8auzQhhBDipVboI5lbtmwhICCAw4cP8+GHHzJy5Ehq1apVmCWIV1BmZiYxMTEMHjyYzZs3U7JkST766CPGjBlDhQoVjF2eEEII8dIp1JC5Z88eBgwYwL59+/joo48ICgqiTp06hdW9EMTHx7NgwQJCQ0MB8PDwICgoiE6dOsmiICGEEMKACi1kRkVFMWjQIKKjo2nVqhUjRoygUaNGhdG1eIU8alHP/752+/Zt9u/fz6hRo9i9ezevvfYaXbp0YdiwYTg6OhZ2yUIIIcRLqVD2yYyKiiI0NJTIyEiaN2+eGzBlha8wNI1Gw/nz5wkMDGT27Nk4OTnh5uaW5xpLS0vc3d1p0qQJ5ubmbN++nf3793Po0CFKlSpFlSpV0Gq1sgpdCCGEyIcCD5lHjx4lMDCQLVu24O3tTVhYGE2bNpUf3qJA6HQ61qxZQ1paGp6eniQnJ+Ph4YG1tfVD15YpU4batWtTtWpVLl++zJ49e9i9ezd37tzBy8uLUqVKGeEOhBBCiJdDgYbMu3fv0r9/fzZs2ICHhwfjxo2jefPmMvdNPNKTRg6fdVTx1q1bbNy4kSZNmtC6dWuio6OpUKHCYx+DlyxZkrp161K3bl20Wi1RUVFER0eTkJCAhYUFzs7OmJuby6imEEII8ZxMC6rh27dvExQUxNq1a/Hw8GD06NG0bt1aAqZ4pH9DXHx8PCtXriQmJgZTU1O0Wi21atWiZ8+eudeeO3eOWbNmkZ2dTU5ODjVq1KBHjx5YWVlRunRpPD09WbNmDWvXrsXLy4vKlSs/sW+NRkPDhg2xs7MjKSmJdevWsWTJEqKjo/n000/p2bPnU9sQQgghRF4FMpJ5/fp1Ro8ezfTp0/Hw8CAwMJDOnTvLSJB4LI1Gw8GDBxk1ahSHDx+mdOnSZGRkkJ2dTdmyZWnQoAE5OTkcOnSIwMBAbt26hUajQaPR8OOPP6KUwtvbG2traxwcHEhMTCQrK4sPP/wQV1fXJ/adlpbGjh072Lx5M0opGjZsSJkyZThw4ACRkZHcvn0bFxcXypUrV0h/GkIIIUTxZ/DV5bdv32by5MmEhYVRvnx5wsLC+Oyzz7CwsDBkN+Ilc//+fT766CMSExOZN28ejRs3fuQ1HTp04OLFixw+fDh3nuX//d//sXbtWhYtWsSHH3740Pue9Kj7+vXr/PDDD0RGRuLo6Mh//vMf2rVrx61bt5g1axYLFy4kKSmJhg0b8vXXX/P+++9TpkwZw968EEII8TJSBpSSkqKmTJmiAGVtba2mT5+usrKyDNmFeEnNnz9fVa5cWS1fvvyx15w8eVIB6rfffsvz+rlz55Szs7MaMWKESk1NfeY+L1++rIYMGaK8vb1VUFDQQ+/NyMhQS5YsUb6+vgpQGo1GBQQEqLNnzz7fzQkhhBCvIIPNyUxPT2fVqlUMHToUS0tLunbtSt++fWUOpngme/fu5fXXXyc9PZ3IyEiys7NRSlGmTBlq1apFdnY2Bw8exMTEhMqVK+cZnSxXrhw2NjacP3+eGzduUKlSpaf2l5iYSGBgIPHx8cybN4/69es/dI2FhQWdOnWiSZMmjB8/nmXLljF+/HgOHjxIYGAgtWvXxsbGxuB/FkIIIcTLwCAhMzMzkzVr1jBw4EAAunTpwuzZsw3RtHhFnD59mpSUFH7++WdiY2MxMzPj1qAwPh4AACAASURBVK1bVKhQgTlz5tCoUaPceZj/+4uLiYkJJiYm3Llzh/T09Kf2defOHUJDQzl48CDbtm3Dycnpide7uroyY8YM6tSpw5gxY9i2bRt79uwhKCiIzp07y7GUQgghxCPke5gxKyuLtWvXMnToUO7cuUPnzp2ZO3euIWoTr5ASJUpw6NAhvvvuO5KSkoiPj+f06dNUqlSJbt26kZycjImJCRqNBnt7+zzvtbCwwNzcHOCpi8vS0tKYP38+O3bsYMeOHU8NmP8yNTWld+/e/P3333z88ccopRgyZAj9+vUjNjaWrKysF7txIYQQ4iWVr5CZk5PDqlWr+P7777l8+TJt27Zl5syZhqpNvEIyMjJo3rw5np6eua9VqlSJTz75hPT0dI4fP46ZmRl6vZ6rV6/mee+9e/dIT0/PDaGPo9PpiIyMZNSoUSxYsOCFFvBUrVqV5cuXM2bMGGxsbFizZg1Nmzbll19+4caNG8/dnhBCCPGyeuGQqZRi9erVhIWFcfnyZVq0aMGsWbMoUaKEIesTrwhTU1OSkpK4detW7mt6vR6dTgc8GOksX7486jGbIej1ehwdHZ94Ss+/8zAnTZpEkyZN8rWlVv/+/dm+fTvvvfcet2/fpk+fPvj7+3Pu3LkXblMIIYR4mbxwyFy3bh3BwcGcOnWKFi1a8MMPP+Dg4GDI2sQrpHHjxpiamnLz5s3c19LS0rhx4wbm5ua4ubnRoEED9Ho90dHRecLmsWPHuHXrFtWrV6ds2bKPbP/27dssXboUZ2dnPv/8c4PUXKdOHbZs2UJwcDClS5dm+fLltG7dml9//fWZ5oYKIYQQL7MXCpk7d+5k3LhxnD59mubNmzN27Fg8PDwMXZt4hbRu3Zq0tDR+/fXX3Mfh//zzDzNnzsTPzw93d3dKlChBx44dCQgIIC4uDniwq0GPHj1wd3fn7bfffuxuBnFxccyfP5+hQ4cavPahQ4eydu1aGjVqRExMDF27dqVXr17ExsYavC8hhHge165dw8TEhNKlS5OZmWnscsSr5nn3PNq3b1/uvoGtWrVSBw4cMOymSuKVtWrVKlWzZk0FKHNzc+Xi4qLGjx+vcnJycq+5fv266tixoypRooSytLRUGo1GderUSZ0+ffqx7V65ckUFBASoL774osBq1+l06vbt2yo4OFjZ2NgoQNWrV0+tWLGiwPoUQoinuXr1qgIUoDIyMoxdjnjFPNeJP3v37mXw4MHs2rWLd955h9DQUN58880Cir/iVZOZmcn169dJTU1FKYWFhQUODg6ULFkyz3U3b97k5s2bKKVy99K0t7d/7BzLdevW4e/vz44dO3Bzcyvwe9i8eTMjRozgyJEjvPbaa3To0IEhQ4bI+edCiEKXnJyMk5MTWq2WtLQ0OX1PFKpnDpnR0dGMHDmSjRs30rRpU8LCwvD19S3o+oTIl6tXrzJ37lwuXbrEggULCqVPnU5HTEwM8+bNY+7cuaSkpNC0aVMGDhz4yGMvhRCioEjIFMb0TJuxnzhxgrCwMDZu3EiNGjUICAiQgCmKhXPnzrFv377cgwIKg6mpKV5eXgQFBVGvXj3Gjh1LZGQkiYmJ7N27F39/f8qVK1do9QghhBDG8NSFP+np6YwcOZK//voLNzc3QkJCaNGiRWHUJkS+ZGVlcfToUQDeeeedQu/f1taWjh07MmvWLLp3787ly5cZN24cPXv25O+//y70eoQQQogX8RwzK/N44khmSkoK33//PStXrsTNzY2wsDD8/PwwNTXYkedCFJgzZ85w5swZmjVrZrQaTE1N8fX1xd3dnYYNGzJt2jQ2btxIYmIiZ86coWvXrtjZ2RmtPvFy0Ol0HDp0iDlz5pCTk4Ner8/z+fT0dL744gveeecdzMzMjFSlEKIounDhAjNnzsyz1gEeHLhjb29P+/bteeutt16o7cemxbt37xIcHMzs2bNxc3Nj+PDhtG/fXr5BiWLj2LFjnDt3jsGDBxu7FJydnfnyyy+pWLEic+fOZd26dQwfPpx9+/bx1Vdf8cYbbxi7RFGMpaSksGLFChYsWICrqyt2dnZoNJrcHxYpKSlkZmbKAIEQ4iGbN29mypQplClThvLly2NiYoJSCp1OR4UKFUhJSXnhth/5HSctLY3w8HCmT59OuXLlGDZsGJ988knu+dBCFHV6vZ5Lly5hZWWFi4uLscvJ9cEHH+Dp6UndunX55ZdfWLJkCZcuXeKrr77Cz8/voZX0BU2n0/HPP/9w5swZrl+/jk6no1q1ajRq1IhKlSrl61QkUXhSUlL4559/MDU1Zc6cOdja2ub5vE6nw9vbW/4+X0H//T1FFv08u4yMDFJTU7G3tzd2KQVu165dAIwaNYo6derk/oKq1+uxtramYsWKL9z2QyEzKyuLefPmMW7cOMzMzPj+++/59NNPsba2fvE7EKKQnT17ljt37tCwYUNjl/IQDw8PRowYgaenJ3PmzGHnzp2cPXuWkydP8umnn+Lt7V0odVy8eJGFCxeyatUqsrOzSU9PJyMjAwsLCxo2bMiAAQPyffymKByZmZkcP34cd3d3WrZs+cLtpKen8+uvv2JiYvJc7zPk14ih2irMr9uiev9arZbbt28DD+bULViw4LmfRv73iPjjPm8IRenP0MTEJPdnSO3atQv8Ce7z1qvVailbtqzBpoIdPHgQU1NT/Pz8DL8o9b83zczIyFBLly5VJUuWVObm5uqrr75SaWlphbZppxCGsnbtWtWrVy+1detWY5fyRMeOHVPdu3dXZcuWVYBq0aKFWr9+vUpPTy/QfmNjY1W3bt0UoN544w01Z84ctXHjRvXXX3+pr776SgEqODi4wOsQhhEZGakA5e/vn692/nvjbvl4eT40Go3Ra5APw/59Nm3a1CDfO27fvq1MTU2Vj4+PunLlikHa/G+5I5mZmZn89ddfDBgwgKysLLp168bMmTMfe0yfEEVZTEwMqamp1K9f39ilPFHNmjVZsGABc+bM4aeffuLvv//mxIkTBAQE0K5dO8qXL2/wEZmEhATCwsJYtGgRffv2Zfz48XmeVLz//vu4urri5eUlc/iKgZSUFA4dOoRWq8Xe3p7k5OTchT9KKWxsbLCysnqmr6P79+/n/re7uzuurq7o9Xr0ev0Lry59XoXRj1IKExOT3K9vnU5HTk5Onms0Gg0ajYaEhAScnZ0N0qehPKmt/x551Gg0ZGVlsX//fgAaN2783N9PCuvvvTD7elw/Wq2W9PR0Lly4ADz4N2BhYZHvugx1XxqNhuzsbM6fP8+lS5e4evUqTk5OL/wzQq/XEx0dDUDdunULZLqWKTwImJs2bWLw4MHcuHGDzp0789NPPxm8MyEKQ3Z2NvHx8ZQsWRIbGxtjl/NMvvzyS+rWrUtwcDDbt2+nf//+RERE8N1339G4cWODPa75d4HIwoULefPNN5k5c+Yjr/v+++8N0p8oeKmpqZw/fx69Xs/GjRtJSEgAHvxgy8rKok+fPjRo0OCpc+pzcnJISkrCysqKtLQ0WrduzZAhQ3ByciqM2zCK+Ph4dDodlSpVeuQUgXv37hEUFMS0adOMUJ1h3Lp1C3t7e7RaLVFRUTL9hceHPo1Gw4kTJ+jTpw92dnbMnz+fsmXLPrRbw9Paed7rnqUdjUZDZmYmUVFRDB06lGPHjhEREcGnn3763NNb/rvfM2fOkJOTQ/ny5bl7927u7hRKKUqUKIGVlVX+Bht1Op1as2aNcnNzU4Dy8/OTR2SiWDt+/LgaMGCAmjVrlrFLeW6ZmZkqPDxcVatWTQGqUqVK6ueff1bp6el5znB/UQcPHlQVKlRQDg4Oas+ePQaoWBjbuXPnVPPmzRWgKlasqJycnHI/SpcurTZs2KCys7Ofqa309HQVEhKiypQpowDl6empli1bpm7cuFHAd1H41q1bp+rXr6+qV6+ulixZ8tDn09LS1MiRIxWgzp07Z4QKDSMpKUkBSqvVqszMTGOXU+T99ddfys3NTQ0YMMDYpeSh1+tVRESE8vLyUoB666231NWrV5Ver3/hNrOzs9Xnn3+uANW6dWvVt29f9c0336hvvvlG9e7dW61cuVKlpKTkq27TXbt2ERwczIULF6hRowajR48mPT2d1NTUF0+uwqDkN89nZ2lpSWxsLGlpaZQsWZL09HTS09MLtYYX/ftSSqHVavn222+pVq0aI0aM4ODBg3z99dds27aN4cOHU6NGjReuS6fTceTIERISEmjZsiWNGjV64bZE0XH//n0OHz6Mi4sLly5dyldbJUqUYMSIEfj6+hIQEMCxY8f49NNP6dOnD99//z1ubm4Gqtq47ty5Q1RUFBMmTMDGxoZt27YRGxtLlSpVcq/Jycnh0qVL2NnZ5Wt1bVGiCvHRd3F14cIFNBoNFSpUMHYpeRw6dIiAgABOnTqFt7c3ixYtyvdTBqUUhw4dwtzcnMjIyNzX4MH3FVdXV9q1a5evPkwnTJjAsWPHADh58iSvv/56vhp8GTxLSChq1zzLdcWxnee95t9HCnq9niVLltC3b98C66sgr9FqtWg0GkqWLElqaiq//fYbiYmJ7Nix46ltP05ycjLR0dFYWVnRpk2bF25HFC13797lxo0bNG3a1GBtvvPOO0RFRTFs2DB+/vlnfvzxR/bv38/o0aN55513jL6dXU5ODtnZ2XlCk4mJSZ66cnJyyMrKyv1/rVaLubl57vcIeDB95N9V2P87/1in03H+/Hk8PT0L+G5EUXLlypXcaRRFxZEjRxg0aBD79+/n9ddfZ9asWQb5xeffgYe3336bP//8EysrKwNU+z+WLl1q9JVS8iEf8vH0j3bt2uXrscXJkyfVW2+9pRwcHNSWLVvy1ZYoGlJSUtTkyZOVmZmZmjp1aoH0sXbtWuXh4aEAZW5urr755ht1+fLlAunrWf3666+5NcGDR8G9evXK/Xx6err66aef8vz78fHxUXFxcbnXREREqFq1aqnKlSurP/7446E+rl+/ripUqKC6deumsrKyCuW+CsJ/Py7PyMgwdjlFXlhYmKpevbqaP3++sUtRSil19uxZ9cknnyhA1apVS+3evdsg7ep0OrV161al0WjUgAED8v1Y/HFMO3bsSNu2bflf6hmG1V/la57lOmmncNr572tsbW0ZMGAAmZmZTJgwIXdD2aJW8/O0o5TCysqKsmXLPtN7HiclJYWEhAQsLCwMvxeaMIr79+9z/vx5rK2tqVatWoH00aZNG+rXr8/o0aNZtGgR06dPzx3VfPvttwukzyf56quvWLx4MVOnTqVXr16502H+Xfxw9+5dJkyYwOTJkzl9+jSVKlXK/ffTtm1bfvvtN6pWrUqzZs3Yu3cvSqlHLqxLTU0lISGBKlWqyJSlV4itrS1KKe7evWvsUjhz5gyBgYGsWrWKevXqMXXqVIOdDpeTk8OZM2dQShXoTiKmJiYmWFpaFkjjQhiDXq/H0dHRINuOFJRnDZn/MsQPOaUUOTk5aDQaOR72JXH37l1iYmKwtrbGy8urQPrQaDQ4OzszY8YMmjVrxpAhQ9izZw+dOnWie/fufPvtt/n+BehZbdy4keXLlzNu3Dh69eoF8NDPr+TkZCZNmsSIESPyBO9Zs2bRo0cPjhw5QtWqVdFqtY89AScnJ4fz588DDw5PKM4h89/vNY9bIS3ysrW1Ra/X59nOyxhOnTpFYGAgq1evpkqVKoSFhfHmm28arP2cnBxOnDgBgKenZ8GFzAJpVQgjat68udHnjD2NMX5o2djYUKVKFaKjo9mzZw9Vq1Yt9BqEYd2+fZvTp0+TnZ1NZGRknnlkSins7Ox47733DHJim1arpX379lSrVo0pU6awdOlSxo0bxz///MOIESN455138t3H0+zYsYP69evz1ltvPfLzWVlZHDhwAKXUQ/U0bdoUKysrjh07RvPmzbGzs3tsPxkZGRw9ehStVkv16tWL9X7RpUqVIjQ0FDMzM9n39hnY2tqSnZ1NYmKi0Wo4f/48EyZMYPXq1bi5uREWFkarVq0M2odOp+Pw4cMAeHt7v/A2SE8jX3HipfPhhx8au4QiycnJicaNG/P3338zb9482rZt+9A+onPnzsXKyor//Oc/r8SZvcXdrVu3cvfF7NmzZ57RqpycHD7++GOaNGlisGOBTUxM8Pb2Ztq0abz99tuEhoYSGRnJV199xf/93//Rv3//Aj2CODIyEmdnZ/r27UtsbCympqZkZ2fj5+fH1KlTUUoRFxeHqanpQ6P1/26+npCQQEpKyhNDZnp6Onv37qV8+fJUr169WI9kWllZ0b9/fzQaTYEFiZeJl5cXbm5uxMTEcPnyZVxcXAq1/6tXrzJ+/HgWLlyIo6MjgwYNomPHjgbvJzs7m71799KkSZMCfZotIVO8dAri1IKXga2tLR988AErVqxg165dfPzxx7Rv3x4nJycSExNZt24dUVFRzJgxo0CDgjCcRo0asX37doCHTqxRSuHk5IStra3B+y1dujSfffYZLi4u/PDDD6xcuZJRo0axY8cORowYYbB5Y/8rMzOTLVu2EBwcjI+PDwBRUVEsXryYb775hrFjx5KTk4OJiQkODg553mtvb4+5uTlZWVlPna6SkZFBdHQ0jRo1KvJPRZ5Go9EUm0MpioLKlSvj7e3NunXrcrcGKyw5OTmMHz+en376CUdHR4KCgvj8888LpK9SpUoRERGBs7NzgU6fkpApxCukdu3azJkzh7lz57J+/Xp27dqFtbU15cuXx97enqFDh/Lee+9RokQJY5cqnsFrr7322EfHBc3MzIxmzZrh6upK06ZNmThxIlu2bOHmzZv07NmTPn36GHzkLCcnBy8vLz744AOqV68OQL169UhISGDTpk10794dExMTlFKkpKTkeW9mZmZuEH9SyFRKce7cORITEw26LZQoPry9vVm9ejUHDx585MLogpCdnc3w4cOZNWsW5cqVIygoiB49ejx23nB+mZmZFcrCPQmZQrxCzMzMaNq0KRUrVqRDhw4kJSWhlKJs2bK555XLQkDxPFxcXOjTpw8uLi7MmTOHDRs2EB8fz6FDh+jbty916tQxWF/Z2dk4OTnlmSNZsmRJKleujE6n4+7du9jY2KDX6/PskQkPHoHn5ORQunTpJ45OpqSksHfvXgAJma8oLy8vnJycOHDgAKmpqQX+ZCczM5Px48czc+ZMSpYsybfffkvnzp1fil/2JWQK8QqqXLkylStXNnYZ4iVhZmZGmzZtcHV1pWbNmvzyyy/MmzeP8+fP07t3bz777DOD9OPm5sa1a9fynEin0+ly/798+fJYW1uTlpZGUlIStWrVyr3u5s2b3L9/Hw8Pjyc+Pr5//z779++nQoUK+TphSxiHUuqhObSPeu1J6tSpwxtvvMHKlSvZtGkT7du3N3SZeYSHhzNlyhSysrL4/vvv6d69O6VLly7QPgtL8V0yJ4QQokipWbMmISEhTJw4EV9fX3bs2EFAQACjR48mJiYm3+23bt2a69evs2fPntzXTp48SUREBDVq1OD111/Hzc2NSpUqMW3atDzvHTNmDHZ2dvj4+DzxZJOkpCSio6Px9fWVhTLFkEaj4ebNmyxevJiwsDCOHDny3Au3zMzMeOedd7CwsOD3338v0O2ffvrpJ8LDw7lz5w59+/alT58+D80nLs5MQkJCQoxdhBBCiJeDqakptWrVonr16qSkpHD8+HE2bdpEXFwcpUuXxs3N7YW3BCpfvjzHjh0jKiqKs2fPcu7cOVasWEFmZmbu2eomJibY2NiwbNkybty4wdGjR/nrr7/YtGkT/fr144MPPnjsPLf09HTWr1/PihUrCAkJKbAN7kXBioiI4I8//uDKlSukp6dTt27d517c8tprr3Hp0iU2b95MvXr1CuTJz6ZNmxgwYAA3btzg888/Z8SIES/dQRkSMoUQQhhchQoVaNmyJba2tiQlJREZGcnevXuxtLSkfPnylCpV6rnbLFWqFN7e3iQkJHDo0CGOHj2Kk5MTQ4cOpUmTJiilMDc3p379+pQuXZq///6bmJgY4uLi+P777+nVq9cTF1LExcUxbdo0TE1NGTt2bLFfWf6yeJ7H3Xfv3mXDhg3UrVuX4cOHExkZib29/XOHNysrK5RS/Pnnn6Snp+Pn5/cipT+SXq9n69atDBo0iMuXL/PJJ58wefLkQjvUoDBp1PMePSKEEEI8h4iIiNzV5xqNhs8++4zevXvToEGD5wpyTwobzzvv7lE2b95Mt27d6NKlC5MmTcpXW+LF6XQ6Ll68SGxsLA4ODrnbVf3rzp077Nu3j+zsbPR6PWXKlKFOnTqUKFGClJQUli5dSkJCAu7u7iQkJNCtWzcqVqz43HUkJCQwbNgwNm/ezLp162jYsKFB7i0yMpL+/ftz4sQJOnTowNSpUylfvny+2y6SDHsUuhBCCPGwa9euqcDAQOXu7q4A5eHhoRYtWqTu3btn7NKUUkrdunVLBQQEKFtbWxUVFWXscl5pBw8eVC1btlSA8vT0zH1dr9er5ORkFRoaqlxcXJSLi4uqXLmyKleunFq8eLHKzs5WSil1/vx51atXL1WvXj31xx9/5KuWP//8U5UtW1a1b98+t/0XpdfrVWRkpHr99dcVoN566y119erVfLVZ1EnIFEIIUWg2bdqkfH19FaCsrKyUv7+/Onv2bL5/gOdXdHS0qlu3rmrcuLFR63jV3blzR/Xt21eVKVNGNWnSRNWuXTv3c5mZmcrf31+Zm5urixcv5r7eunVrZWtrq9auXfvINvV6/QvXc/PmTTVs2DBVsmRJNXfu3BduRymljh8/rho3bqwAVa1aNXXu3Ll8tVccyOpyIYQQhaZly5YsXbqUfv36YW5uzsyZM/Hz82P9+vV5zl4vTBkZGWzcuJGTJ0/Sq1cvo9QgHliyZAmxsbEMGTIEDw+PPF8TKSkpzJw5k/Hjx+d5vDx27Fjs7OyIjo5+aH9UIF/TKF577TU+//xzvLy8GDduHLdu3Xqhds6cOcN3333Hnj17qFatGnPmzMHd3f2F6youJGQKIYQoVBUqVGD69OksXryY+vXrc+bMGbp168awYcNISUkp0C1jHmXv3r2sXLmSunXr0rVr10LtW/z/jh8/ztKlS/H09KR3797cv38/93M6nY49e/ag0WioXbt2nh0K3N3dcXBwyD2pydAqVarEt99+y6VLl3iRtdIXL15k3LhxbNmyhWrVqvHjjz/SrFkzg9dZFEnIFEIIYRStW7dm5cqV9OzZk5SUFCZNmkTTpk1zz2MvDKmpqaxdu5bk5GT69u1boOc4iyebMmUKJiYmfPfdd9y5cyfP53Jycrh69SrAQ7+EKKXQarXcvHmTe/fuGbwuMzMz3n33Xbp3786cOXP4/fffn3g06X87f/48wcHBLFy4EC8vL3788cdX6iQpCZlCCCGMxtXVlWnTpvH777/j6enJ4cOHadu2LSNGjCiU/nfv3s369etp1KgRnTp1KpQ+xcN+++03Ll68SLdu3XB1dX3kY+9/OTs75xnJtLKyomTJks8c/F6Eg4MDo0aNonr16nz55ZecOXPmqf2dO3eOoKAgfv31VypUqMD48eNfqYAJEjKFEEIYmbW1Ne3ateOvv/6iW7dupKSkMH78eN5991327dtXYP1evHiR2bNnk5mZSbdu3fK9BZJ4MUlJScycOZN69erRs2dPACwtLTE1Nc0Nk2ZmZrmhLikpKc9oZkZGRp6jRguKo6MjM2bMIDU1FX9//yeGzMuXLzN58mR+++03nJ2dGTduHK1bty7wGosaCZlCCCGMTqPRULlyZcLDw5k3bx5lypQhIiKCli1bMmHCBHJycgzan16vZ/r06URERPDFF1/QsWNHg7Yvnt2hQ4e4cuUKkyZNwtbWFltbW6pVq8aaNWs4duwYlSpVYuTIkbmLfR71y4Ber+e1116jZMmSBVaniYkJDRo0IDw8nIiICAYOHPjIEdd79+4xe/ZsZs+ejb29PQMHDqRz584FVldRZmrsAoQQQoh/OTg40KlTJ958802GDx/O77//TmhoKAcPHiQwMJCaNWvmq331/23avmzZMhYvXkyLFi3o3bu3gaoXL+LNN99ky5YtpKWlodfrMTMz4+LFi0ydOpXLly+zZcsWLC0t0Wq1KKU4deoUb775Zu774+PjuX79Or6+vjg7OxdorSVKlKBr164cO3aM2bNn4+npSa9evTA1fRCncnJyCA8PZ+LEidjb2zN8+HD69etXoDUVacbbPUkIIYR4vLi4ODV+/HhlY2OjAOXu7q5mzJih0tLSXqi9f/dL3Llzp6pevbqqX7++2r59uyFLFgYSFxenOnTooGrWrJn7Wnp6unr33XdVmTJl1JUrV3Jfb926tXJ3d1cbN24stPqSkpKUr6+vsrOzUwsWLMj92goMDFTm5ubKwcFBTZ06VWVkZBRaTUWRHCsphBCiyLp37x779+8nPDycTZs2YWNjw2effUb//v2pVq3ac7e3adMmBg8eTFZWFqGhoXzyyScyF7MIiomJwd/fn9OnTxMfHw88eCR++vRpvvrqK+7evYu1tTWpqanY2dnh7+9P69atKVGiRKHVePbsWbp27cqVK1cYOXIkFy9e5IcffkCv1zN48GD69u2LnZ1dodVTFEnIFEIIUeSdOXOGhQsXMnXqVDIyMmjWrBk9e/akffv2WFlZPdPZ5StXrmTYsGFYWloyZMgQ2rdvj4WFRSHdgXge9+/f5+DBg9y7d48PP/wwz+eOHDnC/v37yc7OJicnBx8fH3x8fDAxMSn0Oo8fP84XX3zB3bt3uXLlCjqdjgEDBtC/f38cHR0LvZ6iRkKmEEKIYuHmzZusW7eOn3/+mX/++YeyZcvSo0cPvvjii8eenqKUIiIiguXLl7Ns2TKqVKlCYGAgH374oVFCiXh+z/ILhDF1796dhQsXAtCmTRvGjRuHl5eXkasqGmThJa3CqAAAFSlJREFUjxBCiGLB3t6eHj16ULNmTebPn8+8efMYP34858+f54svvqBZs2ZYWFhw9uxZtm/fzv3797l06RJbtmwhNTWVFi1a0LdvX5o1a5Znn0VRtBXlgLlhwwb27duHpaUlOp2O/9fenUdlVSd+HH/zoIAQO6IiiIAiYCHujI5mjjM61riEuUyp09jUZHgs1wgEWV2iXAYtNZmaJWbUpnMqY8DcAEEkd0cjSJRRlBRXcgHk+f3xm+k0pzQz5D7A5/WnIr47ns758L3PvffLL7+kqqrK6CyLoZEpIiJNSp8+ffD19cXPz4/09HQ2bdpEUVER06dPZ/To0ZSUlJCamorZbKauro7Q0FAmTJjAqFGjcHJyMjpfmomsrCxiYmI4duwYkydPJjQ0lMrKSv0A8w26XC4iIk3KNy+f7ty5kzfffJN//OMf1NTU8NRTTzF48GCqqqrw9fXFycmJIUOG4ODgYHC1NBf//QjGnDlzOHDgACNHjmTZsmUEBgb+z9dY8glsY9HIFBGRJu3ixYssX76ct956i4qKCsLCwoiOjmbEiBH39eHc0jLl5+czffp0Dh48yJAhQ0hPT8fPz8/oLIukkSkiIk3Wf0+MzGYzH3/8MampqeTl5VFXV8fMmTN54YUXCAgI0CVMaRDFxcU888wz5OXlERQUxMaNG3nwwQeNzrJYGpkiItJsXLlyhbi4ON555x0uXrxI//79SUxMpG/fvri4uBidJ01YWVkZL7zwApmZmQQGBrJ69WqGDh2qy+J3oJEpIiLNzoYNG4iOjqasrIxbt24RExPDs88+i4+Pj9Fp0gSVl5eTmJjIW2+9RZcuXVizZg1Dhw41OsviaWSKiEizVFlZycsvv8zGjRv56quveOSRR0hNTSUsLEyXz+WulZeXk5CQwPr16wkICGDt2rUamHdJI1NERJq1P/7xj8yePZuLFy/i6urKvHnzmDZtGm3btjU6TSxceXk58fHxpKen4+Hhwbp16xgzZozRWU2GfpQTEZFm7emnn6agoIBx48Zx/fp1oqKimDJlCgcOHDA6TSzY6dOnWb58Oenp6bi7u5OamqqB+QNpZIqISLMXGBjIhg0bWLZsGZ6envzzn//k8ccfZ9myZVRXVxudJxbm6tWrvP322yxbtgxnZ2dmzZrF1KlTjc5qcnS5XEREWoy6ujoKCwtJSUkhMzMTs9nMyJEjSUpKomfPnkbniQWoq6tj2bJlzJ8/HycnJ+bPn8/8+fP1Od57YL1w4cKFRkeIiIg0BpPJRMeOHXn00Ufp0KED+/bt48CBA+zevRsrKyv69OljdKIYqK6ujqVLlxIbG4uTkxNRUVHMnj2bVq30Fu57oZEpIiItislkok2bNoSFhREWFsaZM2fYvXs3u3bt4sCBAwQFBeHp6Wl0phggLS2N5ORkrK2tiYyMJDIyUq8k/RE0MkVEpEVq1aoVAQEBhIeH4+HhQVFREUVFRRw6dAhbW1tCQ0ONTpRGtHr1alJSUjh//jxTpkwhOjoad3d3o7OaNI1MERFpsaysrPDw8KB3795069aNiooK8vPz2bt3L6dPn8bf3x83NzejM+U++/Of/0xSUhKnTp1iypQpxMTE4O3tbXRWk6eRKSIiLZ6trS3du3cnJCQEa2trioqK2LFjB6WlpTg5OdGtWzejE+U+yczMZMGCBZSWljJlyhTi4uLw9/c3OqtZ0MgUERH5Dx8fHwYMGICPjw+nT58mNzeXAwcOcOvWLby9vXFycjI6URpQVlYWcXFxHDx4kIiICOLj4+nSpYvRWc2GRqaIiMg32Nvb07t3b/z9/bly5Qq7d+8mOzubiooK3Nzc8PPzMzpRGsAnn3zCggUL2LNnDyNGjCA5OZmQkBCjs5oVjUwREZHvEBAQwODBg3FxcaG8vJwdO3Zw6NAh7O3t8fb2xt7e3uhEuUf5+fnMnTuXoqIi+vXrx4oVK3Sj132gkSkiInIbjo6ODB48GG9vbyorK9m9ezdbtmyhuroaT09PPD099ZDuJqakpISXXnqJ/Px8goKCWLt2Lb179zY6q1nSyBQREfkewcHBDBo0iJqaGsrKyvjkk084ePAg7dq1w8fHBxsbG6MT5S6cPn2aGTNmkJ2dTWBgIK+//jqDBg3SDwr3iUamiIjIXXBzc+Oxxx6jQ4cO/Pvf/2bPnj1kZ2dTX19PQEAADg4OGisWrKKiguTkZN599138/PxIS0tjxIgR+je7j/TuchERkR/o6NGjLFy4kA8++ICbN28yaNAg4uLiePjhh/UKQgtUUVFBSkoKq1atwtfXl1dffZVx48ZhZWVldFqzppEpIiJyD2pra/nTn/7E66+/ztGjR3Fzc+OVV15h1qxZmM1mnZBZiIqKChYtWsQbb7yBvb096enpjBs3zuisFkH/B4iIiNyD1q1bM23aNDZs2MDo0aO5cOECUVFRDB8+nP379xudJ8CXX35JWloaq1evxs7OjtjYWA3MRqSTTBERkR/p4sWLZGRksGjRIk6dOoWrqyvx8fHMmDHD6LQW6+bNm/z1r39l2rRpODg4MHv2bOLj443OalE0MkVERBrIsWPHmDdvHh999BH29vb88pe/ZPHixXqLTCOrra0lPT2d559/HgcHB+bMmUNcXJzRWS2OLpeLiIg0kODgYNauXcuSJUswmUy89957DBgwgPT0dKPTWoy6ujrefPNNIiMjcXR0ZNasWcycOdPorBZJJ5kiIiINrLq6mmPHjhEVFcXWrVtxdnZm/PjxxMfH06FDB6PzmrX169czb948bt68ye9//3uio6NxdXU1OqtF0sgUERG5T44fP8769etJSUnB2tqa0NBQ5s2bxxNPPIG1tbXRec3Ohg0bePnllykrK2P8+PGsXr0ad3d3o7NaLD2MXURE5D5xdXWlR48ehIeHU1ZWxqeffkpubi7nzp0jLCwMBwcHoxObjb/97W/ExsbyxRdf8MQTT7B06VK8vLyMzmrRNDJFRETuI3t7e4KDg+nXrx8mk4kdO3awe/duiouLcXJyIiAgAJPJhNls1sPB71F2djYJCQkcOXKEiRMnkpycjL+/v9FZLZ5GpoiISCNo164dPXv2pFOnTpw8eZK8vDzy8/Oprq4mMDAQR0dHoxObpKysLBITE9mzZw+/+tWvSEhIICgoyOgsQSNTRESk0Tg6OtKvXz969OhBXV0dOTk57Ny5k6qqKtzd3enUqZPRiU1Kbm4u8fHx5OXlMXjwYBISEujVq5fRWfIfGpkiIiKNyMrKCl9fX3r37o2TkxPHjx9n586d7N27l7q6Ojp37swDDzxgdKbFy8/PJz4+nu3btxMWFkZycjKDBw82Oku+QSNTRESkkZnNZlxcXBg4cCBdunShurqavLw8MjMzqa2txdvbG09PT6MzLdaJEyeYO3cuW7ZsISgoiCVLlvCLX/xCn2m1MBqZIiIijey/Y8ja2pqgoCB++tOfYmVlRWlpKdu3b+fIkSM4OzvTrl072rRpY3CtZTlz5gxRUVG8//77dOvWjUWLFjFy5Eg9EsoCaWSKiIgYzNnZmUceeQQvLy9OnjxJYWEh7733HjY2Nvj5+eHi4mJ0okU4c+YMSUlJpKen07lzZ1577TVGjRqlgWmhNDJFREQsgLW1NWFhYfz85z/n6tWrlJSUsGXLFoqLiwkODsbJyQkbGxujMw1z9uxZlixZQlpaGp06dSIlJYWxY8dqYFowvfFHRETEwty6dYs1a9YQGxtLVVUVTk5OJCQkMHHiRNq1a2d0XqM7d+4cKSkprFq1itatW7Nu3TomTpyIyWQyOk3uQP86IiIiFsba2prp06eTm5vL6NGjqamp4cUXXyQyMpIvvviC+vp6oxMbzaVLl1i1ahVpaWlYW1sTGxvLhAkTNDCbAJ1kioiIWLjU1FTi4+Oprq6mU6dOLFy4kMcffxxnZ2ej0+6rGzdu8OGHHzJhwgRsbW156aWXSElJMTpL7pJGpoiISBNQWFjI/Pnzyc/Pp7a2lkmTJpGQkECXLl2MTrsvampq2LRpE08++SR2dnbMmjWL5ORko7PkB9BZs4iISBPQt29fduzYQVxcHE5OTmRkZDB27FgyMjKoq6szOq9B1dbW8u677zJ58mTs7e2ZNWsWc+fONTpLfiCdZIqIiDQhdXV1bN26lZiYGD799FNat27NpEmTWLBgQbM51dy4cSPPPfcc169f55lnniEhIQFXV1ejs+QH0sgUERFpYm7dukVlZeXXN8RcuXKF8PBw5syZQ0REhNF5P8rmzZuZMWMGZWVlDB8+nIyMDA3MJkrPyRQREWliTCYTjo6OhIeHExISwmeffca+ffvYtWsXJ0+eJCQkBBcXF8xmc5N61WJWVhavvPIKn332GSNHjmTNmjW0b9/e6Cy5RxqZIiIiTZSNjQ2BgYGEh4fTunVrCgoKyMvL4/Dhw7i7uxMYGGh04l3btm0b8fHxFBUVMWrUKFasWEHnzp2NzpIfQSNTRESkCTOZTHh5edGvXz+6du1KaWkphYWF7N+/n8uXL9OtWzccHByMzryjrVu3kpiYSG5uLsOGDWPJkiUEBQUZnSU/kkamiIhIM2Bvb89DDz1EUFAQNTU15ObmkpOTw+eff46npyd+fn5GJ36nXbt2kZyczLZt2+jfvz/Jycn07dvX6CxpABqZIiIizYTJZMLf359+/frh4+NDSUkJu3bt4ujRo1hZWREQEICdnZ3RmV8rKCggKSmJrKwsQkNDSUhIYNiwYUZnSQPRyBQREWlmnJ2dCQ8Px9vbm0uXLpGTk0NOTg5nz57F09OTjh07Gp3IiRMniImJYfPmzXTr1o3ExERGjRrVpG5UkjvTyBQREWmmgoOD6dOnD7a2tpSWlrJ9+3ZKSkpwdHTE19cXGxsbQ7rOnj1LTEwMGzZsIDAwkPj4eMaMGYO1tbUhPXJ/aGSKiIg0Yx4eHgwfPhx3d3cqKyvJy8tj586d1NfX4+npiYeHR6P2nD17lqSkJNatW4evry8pKSmMGzeO1q1bN2qH3H8amSIiIi1AWFgYvXr14sKFC5SUlPDxxx9TVlZG27Zt8fb2plWrVve9obKykqVLl7Jy5Up8fHxISEggIiLCsBNVub80MkVERFqIDh06EBERgb29PadOnWLXrl1s374dZ2dn/P39sbW1vW+fibxw4QJLliwhLS0NGxsbli5dylNPPYWtre19+fvEeBqZIiIiLYiVlRX9+/enV69enDhxgkOHDrF582ZKS0vp3Lkz7du3x2QyNejfee3aNVasWEFqaioACxYs4LnnntPAbOb07nIREZEW6urVq6SlpbF27VpOnDiBt7c3CQkJTJ06FSsrqwY51bxx4wZZWVmMGzcOk8nEiy++SGJioi6RtwAamSIiIi1cQUEB0dHRbN++nTZt2hAREUFsbCxdu3b9Ud/35s2bZGZmEhERQatWrZg5cyaLFy9u8JNSsUwamSIiIsLZs2d54403WLlyJZcuXaJ9+/a89tpr/PrXv76n71dTU8MHH3zAhAkTvh6YUVFRuLq6NnC5WCqNTBEREflaQUEB8+bNIy8vD0dHRyZNmkRKSgru7u53/T3MZjPZ2dlMmjSJ6upqnn76aRYvXoyLi4sett6CaGSKiIjI/zh58iSrVq3i1VdfxWQy0aVLF5YuXcro0aPv6s/n5ubym9/8huPHjzNw4EA+/PBDnWC2QBqZIiIi8i2XL18mPz+fBQsWsHfvXtzc3Pjtb39LUlLSHe8Kz83NZebMmezfv5+HH36YjIwMOnTo0IjlYin0CCMRERH5Fjs7O/z9/Rk6dCj19fXk5OSwd+9edu7cibe3N/7+/t/6M/n5+URHR1NYWMiwYcN4++238fb2NqBeLIFGpoiIiHwnk8mEu7s7vXr1IiQkhMOHD7Nv3z62bdvGV199Rd++fb9+HWROTg5xcXHs2LGDAQMG8Ic//IHAwECD/wvESLpcLiIiIt+rpqaGw4cPs3z5cv7yl7/Qpk0bxo4dy5w5c7h27RqLFy/mo48+okePHqxcuZLBgwcbnSwG08gUERGRu1ZWVkZGRgarVq2ioqKCnj17Ul9fz8GDBwkJCSElJeWubxCS5k0jU0RERH6Qa9eukZubS1paGkeOHOH69et07tyZyMhInnzyST2mSACNTBEREblHBw8epLy8nGvXruHl5UXPnj154IEHjM4SC6GRKSIiIj+Y2WzWiaXckV4eKiIiIj+YBqZ8n1ZGB4iIiEjTUFVVxeHDh7lx48bXv2Y2m3F2dqZdu3Z07NgROzs7AwvFkmhkioiIyF15//33+d3vfgeAra0tVlZW3LhxAw8PD/r378/48eN57LHHcHNzM7hULIFGpoiIiNyVrKwsAGJjY+natSsmk4nLly+zdetWsrKy2Lx5M88++yypqak4OjoaXCtG040/IiIi8r3MZjNBQUF8/vnnlJeX4+Pj8z+//8477zBnzhzMZjMLFy4kMjLSoFKxFLrxR0RERL7X+fPnOXHiBAMHDvz6VZLfNHXqVJ5//nmqqqrIy8szoFAsjUamiIiI3FF9fT3FxcXU19cTGhp625t7unfvjo2NDVeuXGnkQrFEGpkiIiJyR2azmcLCQurq6ggODsbGxuY7v87e3h4nJyfq6+sbuVAskUamiIiI3NF/300O0LVr19uOzDNnznD+/Hmsra0bM08slEamiIiIfK99+/YB8NBDD9Gq1Xc/nObcuXMABAQENFqXWC6NTBEREbmjS5cuUVJSQlhYGA4ODt/5NZWVlRQXF+Pm5kbPnj0buVAskUamiIiI3FZ9fT3Hjx+npqaGPn36fOsU879PQty2bRubNm0iMDCQIUOGGJEqFkYjU0RERG6rtraWvXv3AvDggw9+a2RaWVlx+vRp/v73v1NfX8+YMWPw8/MzIlUsjEamiIiI3FZdXd3Xn8fs0aPHtx5fVFxcTFRUFNnZ2URERDB58mQjMsUC6bWSIiIiclvfHJlVVVUUFBRgZWXFlStXKCgoIDMzk3/96188+uijzJ8/Hy8vL4OLxVLotZIiIiJyW1VVVbRt2xaz2UyPHj2A//8cpslkorq6Gi8vL372s58xadIkunbtanCtWBKdZIqIiMht2dnZMXPmTGpra7l+/Trw/zcDubm50b17d37yk58QHBxscKVYIp1kioiIiEiD040/IiIiItLgNDJFREREpMFpZIqIiIhIg9PIFBEREZEGp5EpIiIiIg1OI1NEREREGtz/Af9yFEXBSoesAAAAAElFTkSuQmCC)
Which of the following relation is correct?
![](data:image/png;base64,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)
Which of the following figures has only two lines of symmetry?
Hence option C is the correcct option
Which of the following figures has only two lines of symmetry?
Hence option C is the correcct option
From the given diagram, what can be said about sides AC and PC?
From the given diagram, what can be said about sides AC and PC?
An algebraic representation of translation of a point 6 units to the right and 3 units up
Hence option A (x+6,y+3) is the suitable option.
An algebraic representation of translation of a point 6 units to the right and 3 units up
Hence option A (x+6,y+3) is the suitable option.
Which of the following relation is correct if PQ = PS, PR = PT and ∠QPS = ∠TPR?
Which of the following relation is correct if PQ = PS, PR = PT and ∠QPS = ∠TPR?