Question
Which of the following alphabets has a horizontal line of symmetry?
- B
- K
- E
- All of these
Hint:
.
The correct answer is: All of these
We were asked to find which of the given options has horizontal symmetry
As we know orizontal symmetry as dividing into two equal halfs with one horizontal line, B, K, E all the three options have horizontal symmetry
Hence All of These is the suitable option.
Related Questions to study
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
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)
Find the value of ∠ABD if AB = AC and DB = DC
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATEAAAEECAYAAABA0gN2AAAgAElEQVR4nO3deVyN6f8/8Fd1WlRUyhJKlMKgqKjGKA0je2M0tpnsstQYYgyFMWQZy4xlxlKW7LINiewRiijRoiKVkBZtpzqdzjnX74/5Tr+PwYy03Oc+5/18POYxD3U69+vMdF7u+zrXfV0qjDEGQgjhKVWuAxBCSG1QiRFCeI1KjBDCa1RihBBeoxIjhPAalRghhNeoxAghvEYlRgjhNSoxQgivUYkRQniNSowQwmtUYoQQXqMSI4TwGpUYIYTXqMQIIbxGJUYI4TUqMUIIr1GJEUJ4jUqMEMJrVGKEEF6jEiOE8BqVGCGE16jECCG8JuA6AOE3kUgEkUgETU1NaGlpQUVFhetIRMnQmRj5aIwxLFq0CAYGBpg5cyZyc3O5jkSUEJUY+WjPnz/HgwcPYGNjg5SUFKSkpHAdiSghKjHy0c6fP482bdpgyZIlKC0txa1btyCRSLiORZQMlRj5KBKJBGFhYWjcuDG+/PJLdO7cGRcuXEB2djbX0YiSoRIjH+XBgwdIT09Hjx49AAB9+vTBw4cPkZycDMYYx+mIMqESIx/l70tJBwcHAIC7uzuaN2+OS5cuQSgUcpyOKBMqMVJjQqEQN27cwOvXr5GWlobIyEhkZmaiUaNGOHPmDJ4/f851RKJEaJ4YqbFbt24hJycHZWVl8PPzg0wmAwCoq6vj6dOnSExMRIcOHaCmpsZxUqIMqMRIjchkMly4cAHa2to4duwY2rVrV/29qqoq2NraIjQ0FC4uLjA0NOQwKVEWdDlJaiQ9PR2RkZHo3r07WrVq9cb31NXV0blzZ1y9ehWvXr3iKCFRNnQmRmqkqKgI9vb2cHd3h6am5lvfnzFjBsrLy6svMQmpbyqMPg8nhPAYXU4SQniNSowQwmtUYoQQXqMSI4TwGpUYIYTXqMQIIbxGJUYI4TUqMUIIr1GJEUJ4jUqMfJT4+Hhs374dmZmZXEchSo7unSQ1lp+fj7179+Lo0aMoLS3F9OnToaury3UsoqToTIzU2JYtW5CdnY0lS5YgPDwcJ0+e5DoSUWJ0JkZq5OLFi7h79y6mTJmCYcOGQSwW4/jx47Czs0OnTp24jkeUEJ2JkQ+WmpqKgwcP4osvvoCbmxtUVVXh6emJDh06ICgoiNYQI5ygEiMfpLi4GNu2bYO2tja+/fZbaGlpAQB0dXUxd+5cPHnyBIcOHYJIJOI4KVE2VGLkgxw4cABJSUmYMmUKDAwM3viesbExfHx8cOTIEVy7do2jhERZUYmR/xQdHY3Lly/D09MT1tbW73yMs7MzRo4ciV27dtG0C9KgqMTIv8rMzMTu3bthY2ODESNGQFX13b8yAoEAXl5e0NfXx44dO1BUVNTASYmyohIj71VRUYHAwEDk5+fD29u7ehzsfXR1dbF06VJcvnwZx48fR1VVVQMlJcqMSoy8V3h4OKKiouDr6/vWONj7tGrVCv7+/tixYwcSExPrOSEhVGLkPR4+fIjDhw9jzJgx6NWrV41+1s3NDUOHDsX69euRm5tbTwkJ+QuVGHlLTk4OgoKCYGJigm+//bbGO3kLBAL4+vpCLBYjMDAQZWVl9ZSUEJqxT/5BLBZj7969uH37Nk6fPv3OvSU/RKNGjbB69Wq4uLigY8eOcHd3r3EZEvIh6EyMvCE2Nhbnz5/HqlWr0Lx581o9V7t27bB27Vq6rCT1ikqMVEtPT8fWrVuhrq6OM2fO1Mk0iZEjR6JPnz74+eefERISArFYXAdJCfn/qMQIAKCwsBCBgYEQCAQ4cOAAMjMz4ejoiJs3b9bqeVVVVREQEICoqCj4+/tDKBTWUWJC/kIlRiCVSnHq1CmcPn0aS5cuhaGhIfbt24cFCxbA29sbo0aNQmxsLGQyGRhjH/y8jDEUFBRg/vz5MDY2xrNnz/Dw4cMaPQch/4VKjODRo0fYt28fVq9eDVNTUwB/DcxPmDABFy5cQM+ePTF58mQMGTIEhw8fxosXL1BVVQWpVAqpVAqZTFb9j1QqhUQiQUFBAbZv3w5LS0sUFRXh+PHj2LFjB3766SeazU/qlAqjvxaV2osXL+Dn5wczMzMsXbr0vY97/fo1zp49i5MnTyI2NhZt27ZFt27d0Lp1a5iamkImk6GoqAj5+fmIjo5GbGwsHBwc4O/vDzs7O6ioqAAAvL29AQC//PILtLW1G+Q1EsVGJabEhEIhfvvtN0RGRuL8+fMf/HNlZWW4e/cukpKSkJWVhczMTKipqcHQ0BBNmjRBr1690K9fv3dOzxCLxejVqxdmzpyJiRMnQiCgWT6kdqjElBRjDOfPn8fcuXNx/PjxBl2V9c6dO/Dw8EBoaCi6devWYMcliolKTEmlp6dj+vTpmDhxIsaMGdPgx9+6dStOnTqFkJAQNGnSpMGPTxQHlZgSys/Px8KFC9GkSROsX7+esxzjx49H06ZNsWbNGmhoaHCWg/AbDUgoGbFYjP379yM2Nha3bt3iNMuvv/6Knj17ws7ODuPGjeM0C+EvmmKhZO7fv49du3YhMDDwo++LrAmpVIq0tDQkJyejsrLyje81bdoUQUFBCAgIQHp6er1nIYqJSkyJZGdnY+nSpfj+++/Ro0ePBjnmrVu3MGzYMDg6OuLcuXOQSqVvfN/FxQVTp07FnDlzUFJS0iCZiGKhMTElUVJSgnnz5oExhsDAwP98fEVFBbKyslBSUvJG8RgYGMDMzKz6LE4qlSI1NRXFxcUAgMaNG8PKyqp66sTXX3+NadOmQSAQ4MiRI1i9ejX09PTeOp6HhwdMTU2xevVqqKur18VLJkqCxsSUxOHDh3HlyhXExMR80ONTUlLw7bff4vHjx2jbtm31111dXeHv749WrVqhvLwcZ86cwa+//orCwkIAf5Xlb7/9huHDh0NTUxMWFha4e/cuKisr0aVLl/cO4K9duxa9e/eGk5MTvvrqq9q/YKI8GFF4iYmJzNbWlt28efODfyY+Pp45OTkxPz+/9z7myJEjzNjYmO3evbv6a5MnT2YGBgbszp07jDHG8vLy2KBBg1iPHj1YUlLSvx7z7NmzzN7enmVkZHxwTkJoTEzB5eTkYP78+Zg8eTKcnJxq/PMSieSdX6+qqsLhw4dha2uLgQMHVn998eLF0NHRQUxMDCQSCYyMjBAWFoZ79+7954TagQMHYsSIEfD19aX7K8kHoxJTYJWVlVi2bBn09PQwY8aMGv2sTCaDSCTC/fv3ERISgqNHj+Lq1avVg++5ubl49eoVzMzMoKurW/1zxsbGMDAwQGJi4kctuzN//nyIxWKsXr2aVrsgH4TGxBTYsWPHcO3aNVy8eLHGP9u0aVMMGDAA8fHx2Lp1K8rKypCbm4upU6di1qxZKC8vR0VFBdTV1d9adlpNTQ2FhYUftWWbmpoaVqxYgdGjR6NPnz4YNGhQjZ+DKBcqMQWVlJSEP/74A3/88Qdat25d4583NTXFypUrq/8slUqxaNEibNiwAVZWVnB0dAQAaGhovHETt0AgqP7z3ytX1FS3bt2wYsUKrFu3DlZWVjA3N/+o5yHKgS4nFVB+fj58fX3h4eEBFxeXOnlONTU1jB07Fnp6ekhISICuri7U1dUhFAohEomqH1dVVYXKyko0atTovbuFfwh3d3d89tln8PPzq56+Qci7UIkpoJ9//hlaWlrw8fGp0+etrKyEmpoaNDQ00LhxYxgZGb112VhWVgahUAgLC4tarRemqqoKHx8flJSUYOPGjXURnygoKjEFc/z4cURHR2Pt2rUfvUUaYwyxsbGIiIio/lplZSVCQkIglUphY2MDVVVV9OzZEzdv3sS9e/eqH7d161ZUVVXByckJWlpatXothoaG8Pf3R3h4OK5cuVKr5yKKi8bEFEhiYiI2bdqEFStWwMLColbPlZKSgi1btlRfjj5//hyPHz+Gn58f+vTpAwAYM2YM4uLisGrVKly9ehUSiQSXLl3C999/D1tb21q/HhUVFfTq1QuzZs3C+vXrYWZmhvbt29f6eYlioduOFERRURFGjRoFZ2dnLFq0qNbPV1BQgKNHjyIxMRHAX2Ni/fv3x+DBg9943NOnT3Ho0CG8fPkSwF8z+ocPH16r8bB/EolE8Pf3x4sXLxAUFETLWpM3UIkpiB9//BGJiYnYt28f9PX1uY5T51JTU+Hj44MBAwZg7ty5XMchcoTGxBRAWFgYoqKisHLlSoUsMACwsLDAvHnzEB4ejsjISK7jEDlCY2I8l5KSgrVr12LBggXo2rUr13HqjaqqKvr06YOsrCz8+uuvaNu2bfX2ckS50ZkYj1VUVGDGjBno3bs33NzcuI5T7zQ1NfHVV1+hWbNmWLhw4Xvv6yTKhUqMx9atWwctLS14eXnV6UC6PNPX18eUKVOQn5+PPXv2cB2HyAHl+M1XQOfOncP169exbNkymJiYcB2nQXXv3h0zZszAmTNnEBUVxXUcwjEqMR5KT0/HL7/8Ai8vrzqZj8U3AoEAX3zxBVxcXPDbb79VT+8gyolKjGcYY5g9eza6d+8ONzc3pbmM/CdtbW14eHhAXV0dAQEBXMchHFLOdwCP/fbbb1BTU4OXl9cb63gpo1atWmHq1KnIzMzEkSNHuI5DOEIlxiNXrlzB+fPnMXfuXHTo0IHrOJxTUVGBk5MTRo8ejWPHjiE2NpbrSIQDVGI88fz5cyxfvhxfffUVHB0dlfYy8p/U1dXh7u4OKysrrF+/Hq9fv+Y6Emlg9E7gCX9/f3Ts2BHDhg2jLc3+QUdHB56enhCLxdiyZQvXcUgDoxLjgZ07d6K0tBReXl5o3rw513HkkoWFBSZPnoz4+HicPXuW6zikAVGJybmoqCgcP34cU6ZMQdeuXT96yWdFp6qqCldXV/Tv3x/79+9HcnIy15FIA6ESk2MFBQVYvHgxevfujb59+370IofKQkNDA9988w20tbWxfv36j9ptifAPlZgcW7t2LUxNTTFu3DhoampyHYcXdHV14e3tjby8PBw6dIjrOKQBUInJqSNHjuDx48eYOnUqrdZQQ926dYOnpycuXryI69evcx2H1DMqMTkUHx+PAwcOYNSoUejVqxeNg9WQqqoqhg8fjh49emD37t3IyMjgOhKpR1RicqasrAx+fn4wNTXF4MGDaT7YRxIIBPDy8sLLly+xadMmiMViriORekLvEDmzY8cO6OnpwcfHh9aSryUDAwMsXboUKSkpCA8P5zoOqSdUYnLk7NmzuHXrFiZMmABLS0uu4ygEBwcHjBw5EocOHaLbkhQUlZicSE1Nxc6dO+Hs7Iz+/fvTOFgdUVFRwYQJE9CiRQsEBQXRsj0KiEpMDojFYmzYsAE6OjoYN24c13EUjoqKCn744QckJibi4MGDkEqlXEcidYhKjGMymQwHDx7E69evMXfuXBgYGHAdSSG1atUKS5YsweXLl3Hjxg3QToWKg3Y74hBjDDdu3EBYWBhGjx4NGxsbriMptM8//xwJCQkIDAxEixYt0LFjR64jkTpAZ2IcevbsGbZt2wYLCwt89dVXXMdRCrNnz4ZYLEZgYCAt26MgqMQ4UlVVheDgYIjFYnz33Xdcx1Eqq1atQnR0NM6dO0fjYwqASowDUqkUoaGhuH//PubMmQNjY2OuIykVc3NzLFiwAAcOHEBcXByNj/EclRgHYmNjcejQIQwePBiffvop13GU0rBhw9CrVy9s3LgRmZmZXMchtUAl1sDy8vKwfft26OjoYNKkSVzHUWp+fn7IysrC7t27UVZWxnUc8pGoxBqQWCzGyZMnkZeXh2XLlnEdR+kJBAL88ccfuHTpEm7cuAGZTMZ1JPIRqMQaiEwmQ0REBM6ePQtvb2+0bduW60gEwCeffILvvvsOGzduRFJSEo2P8RCVWANJSkrC9u3bq28rIvJj1KhR6NSpE9asWYOcnByu45AaohJrAKWlpdi5cycqKysxa9YsruOQd1i2bBkSEhKwf/9+mnbBM1Ri9ayqqgrnzp1Damoq1q9fDw0NDa4jkXfQ1dVFUFAQTp06hdu3b3Mdh9QAlVg9Yozhzp07CA4OxvTp02FlZcV1JPIvbG1tMW3aNCxfvhyPHz/mOg75QFRi9SgzMxMbN25E9+7dMXToUK7jkA/g6emJ1q1bIyAgACUlJVzHIR+ASqyeVFZWYu/evSgrK8MPP/zAdRxSAytXrkRiYiLtlsQTVGL1QCaT4cKFC7h58yZWr16NJk2acB2J1EDz5s2xceNG7N+/H3fu3OE6DvkPVGJ1jDGG+Ph4bNy4sXrXbsI/jo6O+Oabb7Bo0SJkZ2dzHYf8CxVGs/vqVEFBAXx8fGBoaIjNmzdzHYfU0tixY6Grq4utW7fSDuxyis7E6pBMJsO+fftQVFSEJUuWcB2H1IE1a9YgKSkJBw8e5DoKeQ8qsTp0+fJlnD59GitWrECzZs24jkPqgImJCdasWYPt27fTbklyikqsjqSmpmLx4sWYOHEievTowXUcUoc+/fRTeHh4wMfHB3l5eVzHIf9AY2J1QCqVYtKkSRAIBAgMDKRduxVQRUUFvvnmGxgbG2PLli1cxyH/g95tdWDXrl3Izc1FQEAAFZiCatSoEdatW4eEhAQcO3aM6zjkf9A7rpYiIyOxa9curFy5Ei1btuQ6DqlH7dq1Q0BAANatW4cHDx5wHYf8HyqxWnjx4gVmzpyJiRMnonv37lzHIQ3g008/hbu7OyZPngyhUMh1HAIaE6uVadOmoaKiAoGBgdDS0uI6DmkghYWFmDx5MiwsLPDLL79wHUfp0ZnYRwoODkZGRgZ++eUXKjAlY2BggNWrV+Pu3bs4fvw413GUHp2JfYSYmBhMmTIFu3fvpukUSuzixYtYuHAh9u/fT7uJc4jOxGqotLQU06ZNw+TJk6nAlJyzszOGDBmCGTNm0GqwHKISqyF/f39YW1tjypQpXEchHNPQ0ICXlxeaN2+OgIAAruMoLSqxGjh06BAePnyI1atXQ1tbm+s4RA4YGxtj8eLFuHbtGsLCwriOo5RoTOwDJSQkwN3dHXv27EHv3r25jkPkCGMMx48fx4oVK/Dnn3/CzMyM60hKhUrsA/Xu3RvDhg3D3LlzIRAIuI5D5ExxcTECAgKQlpaGkydPch1HqdDl5AdYtGgRzM3N4eXlRQVG3klPTw8zZsyApqYmNmzYwHUcpUIl9h9OnjyJ69evY9WqVdDT0+M6DpFjZmZmmDdvHs6cOYMrV65wHUdpUIn9i6dPn2LWrFlYuHAhjI2NuY5D5JyKigpsbGzw9ddfY86cOcjNzeU6klKgEvsXPj4+8PLygqurK1RUVLiOIzfi4uIwYMAA6Ovro3HjxtX/TJs2Da9fv+Y6HqcEAgFGjBgBZ2dn+Pv7cx1HKVCJvUdAQACaNGkCb29vNGrUiOs4ckUikSA9PR3z589HVlYWsrKykJaWhqSkJJiZmeH+/ftcR+RUs2bNMGPGDBQVFWH79u1cx1F4VGLvEB4ejlOnTmHVqlUwNDTkOo7c0tHRgYGBAQwMDNCyZUucOXMG7du3x/z585V6hyAVFRV07NgR3t7eOHz4MKKjo7mOpNCoxP4hNzcXXl5e+O6779C6dWuu48i1f87O0dfXx/Tp0xEREYGMjAyOUskHFRUV9OzZE66urpg7dy5KS0u5jqSwqMT+B2MMvr6+GDt2LIYOHUrTKT6Cra0tmjVrhrt376KyspLrOJzS0tLChAkT0LVrV6xateqt0id1g0rs/zDGsGnTJlRUVMDb25umU3ykvz8AoTfsX0xMTDBt2jSkpKTg8OHD9N+lHlCJ/Z/IyEgEBwdjwYIFdBlZC4wxSKVStGjRAhoaGlzHkQu2trbw8PBAYGAgLWtdD6jEAJSUlGD+/PmYNGkSunXrxnUcXouJiUFhYSHatm1L01L+x+DBg2Fra4sVK1ZAJBJxHUehKH2JVVVVYfHixXBycsLo0aOhqanJdSTe+GdJlZaWYu/evejbty/dBP0PjRs3hpeXF3R1dbF582ZIJBKuIykMpS4xmUyG4OBgZGZmYtasWTAyMuI6Ei/8Pa5TXFyMnJwc5OTkIDMzEwMHDsTjx4+xbt06uiR/BwsLC4wfPx63bt3C2bNnaXysjih1icXGxmLbtm2YNGkSLCwsuI7DGxoaGujYsSO2bNmCTp06oVOnTrCxsUG/fv3w4sULdO3aleuIcsvFxQWfffYZtm7dirS0NK7jKASlXYqntLQUnp6e6NmzJ7777jvo6OhwHYkoiYKCAvj7+0NTUxOrVq2iO0JqSSnPxCorK7F27VoYGxvD09OTCow0KENDQ0yfPh35+fk4cOAAjY/VktKVGGMMR48eRWxsLLy8vGjshnDC2toaHh4eCA0NRUREBNdxeE3pSiwpKQm///47hg4dCmtra67jECU2fPhwdOjQAX/88QeePXvGdRzeUqoSKyoqwubNm+Hq6opRo0ZxHYcQ+Pr6Qk9PD/v370d5eTnXcXhJaUqssrISgYGBkEgkmDhxIvT19bmORAiMjY3h5eWFuLg4nDp1isbHPoLSlFhYWBguX76Mb7/9lqZTELni4OCAwYMH4+DBg7hz5w7XcXhHKUosPT0dQUFBcHFxoe3WiFwaM2YMWrZsiaCgIOTl5XEdh1cUvsSKioqwY8cOdOzYEZMnT4aamhrXkQh5i4aGBvz8/CASiXD06FFUVFRwHYk3FLrEqqqqcPDgQTx79gyTJk1Cs2bNuI5EyHuZmZnBy8sL58+fx8WLFyGVSrmOxAsKXWIREREIDQ2Fu7s7unTpwnUcQv6Ts7Mz+vTpg507dyIpKYnrOLygsCWWnZ2Nffv2wc7ODsOGDeM6DiEfbPr06dDX18fevXtRUlLCdRy5p5AlVlJSgj179kBHRwfTp0+n5XXqWVVVFe7du4fbt29DKBRyHYf3dHR0sGjRIqSnp+PEiRNKv8z3f1G4ReSlUilOnDiBO3fuYOnSpXRbUT3KyMhAVFQUUlNTkZubCzs7O7oLoo5YWVlh6tSpWLduHUxMTGjv03+hcCUWGxuLkJAQDBs2DLa2tlzHUTgVFRWIiIhAdHQ08vPzIZFIYGJigkGDBkEgEODUqVPo2rUrOnfuzHVU3nNzc8ONGzfw+++/o0OHDjA1NeU6klxSqKV4cnJyEBAQAC0tLfz000+0OkUdevjwISIjI5GUlITXr1+jcePGcHBwQJ8+fWBubg4ASEhIwOHDh5GdnY02bdrAwcEBffv2pf8PtVBYWAhvb2907NgRvr6+0NbW5jqS3FGYEisrK8OOHTtw//59/Pzzz2jbti3XkXjv9evXCAsLQ1xcHF6/fo0mTZrAxMQEtra2cHBweOcbKjs7G5GRkYiLi0NRURGEQiHs7e3x+eef0/4FHykpKQnz5s3DhAkTMGLECNpK8B8UosT+Xl7n999/R0BAAM3Kr6Vbt27h5MmTKCgogEAggIWFBSwsLNCzZ0+0adPmg55DLBbj/v37uHXrFp4+fYrCwkLo6enBxcUF/fv3R5MmTer5VSiWkydPYuXKldi8eTMcHBy4jiNXFKLEnjx5gjlz5qB379744YcfuI7DS8nJybhy5Qru3buHqqoq6OjowNnZGdbW1rUe33rx4gXu3buHmJgYvHr1Cnl5ebCzs8OAAQNo3PIDMcYwZ84c5OTkICgoCLq6ulxHkhu8L7HXr19j/fr1KC4uxsqVK+lv+BqorKxESEgIIiMj8fLlS5ibm8PU1BTW1tYwMTGBlpZWnQ4mSyQSZGRkIDY2Fvfu3cPz58+hqqqKAQMGwM3NDYaGhnV2LEWUn5+PmTNnwtHREd7e3lBXV+c6klzgdYlVVlZiz549CA8Px4YNG9CuXTuuI/FCYmIiQkJCkJycDF1dXXTv3h1mZmbo0qULzMzMoKKigszMTPz0009QU1NDQEAAWrRoUSfH3rVrF5o2bQp7e3ukpKQgJiYGGRkZePbsGaytrTFkyBA4OjrWybEUUXJyMry8vPDDDz9g0KBBUFVVyKmeNcLrErt06RIWLlyIgIAAfPHFF1zHkWuPHz/GhQsXcPr0aRgZGaFFixZwcHBAp06d0Llz57feDOXl5bh58yaOHj2Kp0+fws3NDbNnz67VoPKmTZtw/vx5LFmyBL169QLw17Z5KSkpePToEWJjY5GWlobi4mJ4eHhg8ODBdVaeiuTgwYNYvXo1QkJC0LFjR67jcI63JZaTk4PvvvsOXbt2xaJFi2h1ivc4c+YMjh07hoyMDFhbW6N9+/awt7dHu3btYGxs/J8//+LFC4SFhSE0NBTq6uoYOHAgvvnmG2hpaX1whri4OKxfvx6FhYXw8/ODk5PTOx9XUFCAtLQ03Lt3D0lJSXjy5AksLS3h4eGBzz777IOPp+iqqqowd+5clJaWYufOnUr/u8/LEhMKhdiwYQMyMjKwYcMGWqX1H548eYLjx48jIiICjRo1gpubG4yNjdG1a1e0bt26xmdTMpkMjx49wr1793DlyhU8fvwYJiYmcHNzg52dHdq2bfvWXLCMjAzcunULly9fRk5ODmxtbTFixAjY2Nj85/EYY0hPT0d6ejpu376N2NhYvHr1CuPGjcOXX375QeWr6PLz8zFp0iS4ublhxowZSj2bn3clVlVVhaNHj2Lbtm04cOAATExMuI4kF7KysnDjxg0cOHAAAoEAVlZWcHZ2Rtu2bWFpaQkNDY1aH0Mmk+Hp06dIT09HSkoKkpOTkZ2djcLCQohEIqipqVX/29DQEObm5rC0tESvXr3QuXNn6Onp1fiYRUVFyMzMREJCAqKiopCcnAxTU1N4enqib9++tX5NfJaUlITRo0dj06ZNcHFx4ToOZ3hXYvHx8Zg0aRL8/PwwYsQIruNw7s6dO/jjjz8QFRWF/v37o3v37rC1tUXLli3RsmXLejuuSCRCbm4uioqKUFFRAaFQCLFYDE1NTWhoaEBHRwdNmzaFkZFRnc3Yz87Orr5fMzIyEnl5efDw8MDo0aCKuUAAABQUSURBVKPRqlWrOjkG3wQFBWHLli24dOkSjIyMuI7DCV6VWHFxMby9vWFmZoYlS5Yo7UfMWVlZOHHiBEJDQyEWizFhwgSYmZnBysoKzZs3r5OzLnkmFArx4sULpKWlITw8HHFxcWjVqhWmTp2Kfv36KdWllUgkgq+vL6RSKbZt28Z1HE7wpsQqKyuxceNGxMTEYOfOnUo3H6ysrAzh4eEICQlBQUEBunTpgsGDB6Nt27YwNTWt0UC7vEhJScGQIUOgoqKCmzdvftTKu7m5uXj27BmioqJw9uxZFBYWYsiQIZg8eXK9nonKk9evX2PUqFEYM2YMJk2axHWcBseLEpNKpTh79izmz5+PM2fOKNVuRQkJCfj9999x/vx5ODo6YuDAgbCzs4ORkREMDQ15fdYxfvx49O3bF7m5uSgtLcXy5cs/+rkqKiqQn5+PtLS06l21TUxMMH36dAwYMEDhP8GLjY2Fu7s7Tpw4ATs7O67jNCzGA8+fP2e2trZs//79XEdpEPn5+Sw4OJi5ubmxHj16sEWLFrGIiAj28uVLVllZyXU8xhhjN2/eZE5OTszIyIgZGRkxc3NzFhcX98ZjEhISWPfu3asfM2LECCYWi6u/379/f3b37l12+vRp9vPPP9dJLplMxgoLC1lSUhLbsWMHGzBgALO3t2dLlixh2dnZdXIMeSSTydjmzZtZz549WVVVFddxGpTcl1hFRQWbMmUK8/X1feMNoIguX77Mxo0bxxwdHdm0adPYhQsX2PPnz1lpaSmTyWRcx6t27do1Zm5uzpYuXcoyMjJYRkYGGzt2LGvTpg27ffs2Y4yxixcvMmNjYxYYGMiePn3KMjIymKGhIRs6dCgrKytjjDF27tw51rhxY6atrc0SEhLqPKdIJGK5ubns+vXrbP78+czMzIy5ubmxkydPKuQbXSQSsSlTprDvv/+e6ygNSq5LrKqqim3ZsoX179+/+hdf0Tx79owtXryYWVpasqFDh7Lg4GD2+PFjVlxczCQSCdfx3mnNmjXMxsaGRUZGVn8tJiaGtWrVip0+fZoxxtinn37KRo4cyV69elX9mMOHDzMtLS12//59JpPJWFVVFXv58iV7+fIlk0ql9ZZXJpMxoVDIMjMzWXBwMBswYADr1q0bW7hwIXv69Gm9HZcLpaWlzNHRkR04cIDrKA1GbhcmkslkiIqKwuLFi3H9+nWFWgxOKBTi7NmzOHLkCJKTk9GvXz/s3r0bnTp1gq6urtx/6tq0aVO8evUKL168qP7azZs3IRKJoK+vj7y8PDx79gweHh5vTER2cXGBQCBATEwMPvnkEwgEggYZfFdRUYGOjg50dHQwZswYuLu749GjRzh58iScnJxgbW2NiRMn4quvvuL92Jmuri7WrFmDIUOGoEePHspxWxLXLfo+FRUVzMnJiQUFBcnVpVRtJCUlsSlTpjBbW1s2cuRIFhwczHJycphIJOLVaxSLxWzGjBlMQ0ODrVu3js2dO5epq6uzQ4cOMYlEwu7cucOaN2/OtmzZ8sYYXm5uLtPT02N+fn6cj+3JZDImEolYYWEhO3jwIBs0aBCzsrJi8+fPZ48ePeI0W21JJBK2bt065urqynWUBiGXJVZVVcW8vb3ZjBkz5PaS6kPl5eWxnTt3MktLS9arVy/266+/sqdPnzKRSMTr1yaRSJi/vz8TCARMRUWFTZs2jeXl5THGGLt9+zYzMjJiR44ceaOcZTIZa9q0KVu0aBHnJfa/JBIJE4lE7P79+8zf35+1adOGubm5sf3799frZW59qqioYN9++y1buHAh11HqndyVmFQqZbt27WL29va8fZNXVFSwU6dOMU9PT2ZhYcFGjx7Nzp07x8rKynj7pvhfT548YS4uLqxv374sNTWVPXz4kNnY2LD27duzpKQkFhcXx5o3b85+//33N8oqLy+P6enpyV2J/U0mkzGJRMIqKytZSEgIGzZsGGvTpg3z9fVl9+/f5zpejRUUFDBra2t24sQJrqPUK7krsYcPHzJDQ0MWHR3NdZQPJpPJmFQqZZmZmez7779n3bp1Y87Ozmzr1q0sNzeXSaVSXl0u/huJRMI8PT1Zr169WGJiYvXXnz17xrp06cK+//57dv/+fWZmZsY2bdr01uVk48aN2datW+X+08G//58+evSILVmyhJmbm7N+/fqxPXv2MJFIxIu/jKRSKTtz5gxr2bIly8rK4jpOvZGrFdUkEgnmzJmDn376qXq9KXnFGINEIkFOTg7CwsIwZMgQDBgwAOrq6jh58iQiIiIwffp0NGvWDKqqqryelPq/SkpK8Pr1a1hYWLyxp6ehoSG0tLRQVVUFa2trNGvWDHfu3EFpaWn1Y27fvo2qqirY29vL/QC6iooKVFVVYWVlhWXLluHx48eYOXMmTp8+jTZt2sDX17f69chkMq7jvpOqqir69esHb29vzJ49G1KplOtI9YPrFv2bRCJh8+bNY56enlxH+VdisZiVlZWxs2fPslmzZrFmzZqxIUOGsN27dzORSMR1vAaxcOFCpqenx06cOMGEQiETCoVs+/btTF9fn+3evZsxxti2bduYpqYmCwkJYUKhkGVlZTEjIyM2fvx4Vl5ezvErqJ3MzEy2bNky1qVLF+bs7MwCAwNZbm4uq6yslMsz7tLSUubh4cFWrFjBizPImpKbEjt06BDr2LEjKyoq4jrKW6RSKSsrK2PZ2dnMz8+P2dvbs86dO7NffvmFpaamch2PE35+fkxbW5s1atSINWrUiOno6LALFy688ZitW7cyY2Pj6scsXbpU4SYsh4WFsZEjR7ImTZowHx8fdu3aNVZaWip3rzM1NZV17NiRhYeHcx2lzsnFvZMZGRlwcXHBrl274OrqynUcAH/NUxOJRMjPz0dycjJ27tyJhIQE2NjYYPHixTAzM0OjRo24jknkRF5eHoKCgnD8+HFoaWlh3LhxGDhwIJo1a4ZGjRpxvha+RCLB0aNHsXLlSkRERCjUpiycl1hFRQVGjx6Nzz77DPPmzeMyCoC/VssQCoW4e/cuLl26hPDwcLRq1QrDhw/H+PHjaTdr8p8uX76MHTt2ICoqCoMHD8bIkSNhbW0NXV1dTlcbKS8vx8qVK/H8+XNs27YNmpqanGWpS5yWmEQiwbJly5CSkoKQkBCuYkAqlUIoFKKwsBChoaH4888/8erVK4wcORIeHh745JNPOMtG+KuoqAiBgYE4ceIEVFVVMWrUKLi6uqJNmzZo3LgxJx9uFBQUYNKkSXB2dsbs2bPl/gOWD8FpiYWGhsLHxwcREREwMzNr8OMLhULk5OQgLS0NFy5cwM2bN6Gvr4+ff/4ZPXr0UPjFBUnDuX79Onbs2IH4+Hg4Ojriyy+/RJcuXdC0adMGP7u/efMmJk+ejMDAQIXYgIWzEnv16hXc3NywbNkyDBs2rMGOKxaLkZeXh9TUVMTExODMmTPQ1NSEm5sbxo8fr7RL/JKGUVJSgj179iAkJAQqKioYPnw4nJ2dYWpqCiMjowY5M6qsrERwcDCOHDmCo0ePomnTpvV+zPrESYkJhUJMnToVnTt3hp+fX70PespkMhQXFyMnJwcxMTEICwtDfHw8BgwYgPHjx6NHjx71enxC3iUqKgqBgYFITExE165dMWjQIHTp0gUtW7as95WLi4qKsGLFCojFYqxZs4bXH1I1eIlJpVIsX74csbGxOHbsWL1espWVlSEzMxNpaWl48OABoqOjIZFI4O3tjUGDBinEeADhv8LCQoSEhGDfvn1QV1dH//790bt3b5iZmaF169b19nv67NkzeHl5YfDgwZg5cyZvJ2Q3eIldunQJkyZNwsmTJ9GjR486/w8nkUiQnZ2Np0+fIj4+HtHR0SgvL4eDgwPGjh3LydgbIR8qJiYGe/bswcOHD9GhQwf07t0bNjY2aNu2bb1c9p04cQJLlizBnj17eLusdYOW2PPnz/HNN99g6tSpGD16dJ1eRubn5yMrKwvx8fGIiIhAQkICunfvjsmTJ8PR0bHOjkNIQygsLMSpU6ewe/duaGtro2fPnnByckL79u1hZmZWZ2vOlZeXY9u2bbh9+zY2b96M5s2b18nzNqQGK7HS0lLMnj0brVq1wpIlS+rkMrKiogKPHz+uPutKSUlBWVkZ+vXrh9GjRyvUhD6ivGJjY3Ho0CHExcWhbdu2sLGxga2tLczNzdGiRYtaP/+rV6+wfPlyNG7cGEuWLOHd+FiDldjq1asRERGBAwcO1LpcsrKy8ODBA6SlpSE+Ph5lZWWwtraGu7s7unTpUkeJCZEvJSUlCAsLw+HDh6GmpgYrKyvY29vD0tISHTp0qNXk1QcPHmD+/PkYNWoU77Z9a5ASi4yMhI+PDzZs2IC+fft+1DhYfn4+njx5ggcPHiAhIQHx8fGwtLSEu7s7+vfvL/dLOhNSl+Lj4/Hnn38iKioKbdq0gYWFBezs7NCpU6c3Vhf5UFKpFHv37kVwcDC2bNnCq5OBei+xrKws+Pj4YOjQofD09KzxZWRcXBxSU1ORlJSEzMxMVFZWwtbWFu7u7kq1/yQh7/L3psqhoaGoqKiAiYkJunbtii5duqBz5841ujQsLi7Gpk2bkJWVhYCAAN6Mj9VriZWVlcHX1xfa2tpYtmwZGjdu/EE/l5+fjytXruDly5eIi4sDAFhZWcHBwQF9+/atr7iE8FpiYiLOnTuHa9euoWXLljA2NoatrS2sra0/+FP5zMxMLFu2DGZmZliwYAEv7q+s1xLbvHkzTp8+jS1btsDKyupfH1tYWIikpCTExMQgLy8P0dHR6NixIz777DMMGzZMoXY7IqQ+icViXLhwAZcuXUJeXh4MDQ1hYmICJycn2NjY/OdtTpcvX8bq1avh5eWFkSNHNlDqj1dvJRYTE4Mff/wRs2fPxuDBg987YS8uLg5xcXFISEiAUCiESCSCjY0N+vTpw9t5K4TIi9TUVFy6dAkRERHQ09ODvr4+unXrBkdHx/cOx1RVVWH79u24evUqVq1aBUtLywZOXTP1UmLZ2dmYP38+nJycMGXKlLeuy4uLi3Ht2jUkJCQgLS0NWlpaMDU1hb29PXr16vXBl52EkA8jlUpx5coVREZGIjMzE1paWjAyMoKrqyt69uz51nsuPz8fGzZsgEgkgp+fn1xPV6rzEhOLxZg7dy7EYjFWrlxZfUO1UChEXFwcLl68iNLSUhQUFKBFixaws7PDF198AQMDg7qMQQh5j6dPn+Lq1auIjo4GYwxaWlro1KkTXF1d39hsNzU1FX5+frC3t8fcuXMhEMjnXtt1XmLBwcE4dOgQ1qxZA2trayQkJODq1auIi4uDmpoapFIpunfvDnt7ezg4ONTloQkhNcAYQ2RkJKKjo5GWlgaJRAIDAwP07dsXffv2ha6uLv78809s27YN8+bNQ79+/biO/E51WmJxcXFYv349XF1dYWhoiDt37iA1NRWtWrWCoaEhHB0dYWdnR2ddhMiZZ8+e4caNG3j48CFyc3MBAJaWlhgwYAAuX76MJ0+ewNfXF+3bt+c46dvqrMRSUlKwYsUKJCcnw8HBATo6OjA2NkanTp3g4uLCi49qCSFAWlpa9QmIUChEWVkZkpOT8fnnn2P27NnQ09PjOuIb6qTEysvLMXv2bAQFBVV/rXXr1ujevTv09fUhFoshlUohB3uSEEL+haqqKtTV1cEYQ1ZWFm7fvl29X6WOjg6WL18Ob29vubpDpk5KTCwWIyIiAi9evICqqipkMhmkUqlcbyxKCPl3AoEA6urq1avNSKVSdOrUCT179pSrtfjeW2KFhYXYv38/rl69Wr2Ls7q6Or788ktMnTq1QUMSQvghJycHP/74I54/fw7gr53Ug4ODYWxsXG/HfO9npuXl5QgPD8fjx4+xdOlSAH9NYF26dCkEAgEmTpxYb6EIIfwTEhKCVatWwdXVFf3794eKigqKi4sxZMgQ7Nu3D506daqX1WPfW2IqKioQCASwsLDA2LFjAQD9+vVDYmIiTp06hZEjR9KkVEIIgL8WelixYgW6du2KBQsWvHHzuImJCVq2bFlvy1//59Kqfw/qAYCenh7Mzc0hFApRWVlZL4EIIfyzdetWCIVCzJkz563VL4YMGVKvOyr9a4kxxt74FCIlJQWRkZGwtraGvr5+vYUihPBLdHQ0WrRoUScrzdbUv95HoK2tjdDQ0OobQIuKitC+fXtMmzZNbm9BIIQ0LLFYjJKSErRv356T+aD/eiZWWVmJbt26Yf/+/di/fz+OHj0Kc3NzTJ8+HTExMQ2VkRAix/6eTtWoUaN630P2Xf71dEomk8HAwAA9e/as/lp5eTmmTJmCsLAw2Nvb13tAQoh809LSgrm5OR49egShUFi96END+c/a/Odk1ebNm0NdXR3FxcX1FooQwh8qKir49NNPcf/+fTx69KjBj/+fA/v/nJl76NAhlJaWok+fPvUajBDCHzNmzMDnn3+Or7/+GtevX3/je5aWlrh792693Xb43stJxhgEAgFCQ0OrP4lkjKFdu3bYu3cv+vfvXy+BCCH8o6Ojg8OHD2Pt2rUYOXIkxGJx9fd2796Nrl271ts8sffediSTyVBWVgaRSPTGJaWGhgaaNGkiV/dOEULkg0gkQmlp6RudYWRkVK990WCb5xJCSH1o+M9DCSGkDlGJEUJ4jUqMEMJrVGKEEF6jEiOE8BqVGCGE16jECCG8RiVGCOE1KjFCCK9RiRFCeI1KjBDCa1RihBBeoxIjhPAalRghhNeoxAghvEYlRgjhNSoxQgivUYkRQniNSowQwmtUYoQQXqMSI4TwGpUYIYTXqMQIIbxGJUYI4TUqMUIIr1GJEUJ4jUqMEMJrVGKEEF6jEiOE8Nr/A5k2uNexJpGPAAAAAElFTkSuQmCC)
Which of the following relation is correct?
![](data:image/png;base64,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)
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?
Choose the image which shows reflective symmetry.
In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.
Choose the image which shows reflective symmetry.
In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.
From the diagram given below, what is the true relation between ∠ABC and ∠ABD?
From the diagram given below, what is the true relation between ∠ABC and ∠ABD?
The following triangles are congruent under PRQ ↔ XYZ. Which part of Δ XYZ correspond to PQ?
The following triangles are congruent under PRQ ↔ XYZ. Which part of Δ XYZ correspond to PQ?