Question
Find the value of x.
![](data:image/png;base64,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)
- 70˚
- 60˚
- 80˚
- 90˚
Hint:
The correct answer is: 70˚
Related Questions to study
The angle formed using two legs of an isosceles triangle is called the ___________.
The angle formed using two legs of an isosceles triangle is called the ___________.
Find the type of the ∆ ABC if angles B and C are equal![](data:image/png;base64,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)
Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees.
Find the type of the ∆ ABC if angles B and C are equal![](data:image/png;base64,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)
Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees.
Find x if PQ || RS and ∠1: ∠2 = 3: 5.
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17MmbMGMk3plQoFJw7d45z586RlZVFWVkZ5eXlVFZWUlhYSHp6Ops3b6Zt27aS1vkib3aTUYu4ublhaWnJ4cOHCQwMZNKkSfTo0UPqsmrMzz//zLfffouJiQnTpk2rNT+7TCbDyckJJycnHjx4wG+//UZCQgL5+fncunWLsrKyWr+egAh5LWJvb0/z5s05evQoO3bs4Pr160ydOlXtF058kcLCQrZv3861a9dwcHBgxIgRNGrUSOqy/lbTpk0ZPnw4w4cPByA6Opqvv/661l+ya+5vj5oyNTXlnXfeYfLkySQkJLBy5UoePHggdVkqcenSJZYtW0ZmZiZTpkxhxowZNRbw4uJi9uzZw8KFC8nIyKh6bfv27fj5+ZGbm/tfj6Gtra0Wq/eKkNdSffv2Zc6cOVhYWLBixQrOnTsndUlKU15ezqZNm/jiiy/o2bMn8+bNq/HdarS0tGjQoAGHDh3igw8+AODixYsEBARQp06dl9rLTaFQ1PpLdRCX67Vaq1atmD59Oq1bt2bnzp1cvHiRxYsX1/rLwxdJSkoiMDCQJk2aMG/ePBwcHCRZ61xHR4dBgwbh4+PDihUr6NWrF6dOncLa2pr58+fXyOO6miJa8lrOwMCAoUOHsmjRIoqKipg+fTopKSlSl/Va9uzZw/Lly3FycmLevHn07NlT0s0MtLW1cXd3Z9iwYSxbtoz79+8TEhIieY++somWXE289dZbNGvWjJiYGBYsWMDs2bN5++23pS7rpWRkZLB69Wrq1KnDsmXL6NatW60ZC2BgYEDDhg1JTU2lRYsW1K9fX+qSlE605GqkUaNGuLu7s3btWo4cOcKKFStq/ZLCkZGReHp60q9fP5YuXUrPnj1rTcABfvnlF3788UdWr17NkydP+Pjjj6UuSelEyNWMlpYWXbt2ZfXq1ZibmzNq1Cj+/PNPqct6TnZ2Np6ensTGxhIQEMC4ceOwsLCQuqxnZGRkEBISgoODAytWrGDq1Kls376dn376SerSlEqEXE1ZWFgwffp0Fi9ejJeXF+Hh4VKXVOXHH39k1KhRDB48GD8/P7p06fJSvdU1KScnh/Xr1/PHH3+wYcMGjI2N+de//kWXLl1YtmwZiYmJUpeoNLXnukl4ZUZGRjg7O9O6dWtCQ0MZP348u3fvluzZbXl5OT4+Pty/f5/Q0FCsra1r7XbGxsbG+Pn54ePjU7UXWosWLdizZw+FhYU0a9ZM4gqVR7Tkak4mk2Fpacnq1asZM2YMAwYM4OLFizVex4ULF+jXrx8tW7bk888/x97evtYGHP667WnatOkztxByuZzGjRvTqlWrWl37qxItuYaoV68eY8aMoW3btqxfv55evXrh4+Oj8vNWVFSwatUqrl+/TmhoKLa2thr1jFkTiJZcg+jo6NC5c2fCw8MpKipi5MiRKl2Q4vLly/Tt25cmTZrw9ddf06lTJxHwWki05BpGJpPRpEkTfHx8iI6O5u2332bFihW4ubkp9Tz+/v78+9//JjQ0FHt7e7UYw/2mEi25hjIwMODtt99m+/btREZG8u677yrluHfu3MHFxQWFQsH+/fvp1KmTCHgtJ0Ku5hITExk+fDgGBgZMmDDhmQkTcrkcGxsbQkNDadasGUOHDn3tR0MKhYItW7YwdepUli5dyqpVqzA1NZV0WKrwckTI1dyaNWuYP38+ubm5WFpaEhoa+txnTExMWLp0KYsXL2b27Nns37//pUfKVVZWkpiYyOjRo/njjz+IiopiyJAhtWrUmvBiIuRqrrCwkLKyMkpKSjA3N//HGWoymQwXFxd27NjByZMnWbJkCXl5eS+cKllaWsquXbuYNm0a06ZN47PPPqv2RgZCzRMhV3OfffYZvr6+mJubU1RUxLx58174eQsLCzZv3kyrVq3w8PDgwoULlJWVPfOZiooK0tPTmT17Nj///DP79+9n5MiRaj3F9U0mrrkkVF5eTn5+ftVGe3K5nLp16z5zKaxQKMjJyan6jLa2NvXq1at638LC4pU3AtDX1+fdd9+lU6dOBAcHM3DgQDw8PDA0NKSwsJDTp0+zadMmpkyZwpQpU5TwkwpSEiGXSFlZGQcPHmTt2rVVyzsVFRWxY8cOxo4di66uLuXl5fz66694eHjw8OFDZDIZMpmMCxcu0LZt22p3ejk7O2Nra0tgYCBr165lwoQJ7Nu3j9TUVDZt2oSdnZ0yflRBYuJyXSJnzpxhwYIFzJo1i5ycHHJyclizZg2enp7ExMQAf030GDZsGO+//z65ubnk5OTg6OhI9+7dycrKUkodzZo1IyAgAIVCgaOjI+Xl5Xz55Zci4BpEhFwif/75J40aNaJTp05Vr7m5udGsWTMKCgoA+PTTT3F2dmbIkCFVn/n8888pKysjNjaWysrKatVQUVFBUlISH374IVlZWQQFBZGXl0dERASPHj2q1rGF2kOEXCI2NjZUVlYSHR1NVlYWmZmZ7NixAxMTEywsLCgtLeXOnTvY2Ng8M1S0VatW6OnpcfHixWqFvKCggDNnzrBq1Sr09fXZsmUL8+fP5+OPPyYxMZGAgADi4uKe65QT1I+4J5fIoEGD8PX1ZfHixdy5c4eioiJiY2M5ceIE3bt35+7du5SXl//t82h9fX3S09Nfe6XQlJQUDhw4wKVLl5g3bx5OTk5V79WvX5/PPvuML7/8ko8//hh3d3cGDhyo1rvTvOlEyCVSUVFBnz598PLy4ttvv0WhUDBixAjKy8spKSlBW1sbhULxXG87/LUMlJaW1iuHvKCggPPnzxMZGYmRkRGbN2/G1NT0bz87d+5cevfuTVBQELdv32bcuHFYWlq+9s8rSEdcrkvkp59+YsyYMdy8eZMLFy5w+fJl5HI5o0eP5tSpU2hra6OlpcWjR4+eu2ROSUlBW1v7lXrXExMT2bFjB9u2bWPo0KEEBwf/Y8Cf6tixI9u3byc7O5uQkBDOnj1LaWnpa/28gnRESy6B0tJStm7dir6+Pp999lnVEsARERE4Ojpy4MABevXqRf369Xny5MkzLXZZWRkVFRXY2tq+1PZJJSUlxMTE8MMPPyCTydi8efMrrUiqo6NDYGAg+/btY+fOnSQmJuLm5iZGvqkREXIJlJWVoaWlRWVl5TMBfvToEdnZ2ZiamtKwYUP69u3L6dOnSU5Oxt7eHoCwsDC0tLTo37//fw35/fv3OXz4ML/88gsjRoxg7Nixr13zhAkT6NGjBx9++CHJycm4ubnRtWvX1z6eUHNEyCVQp04dxowZw7Jly/Dz86N3794AxMbG0qBBg6q5356enly4cIEPP/wQR0dHtLW12bhxIwsXLqRz587/eLleWVnJmTNnOH36NE+ePCE4OFgpe4y1bt2aLVu2sGHDBnbu3ElSUhIjR44UU01rORFyiYwYMQI9PT3Cw8OJiooCQE9Pj61bt1YNROnYsSNbt24lODiYY8eOoVAo8Pf3Z+bMmf943NTUVA4cOEB8fDwdO3bEy8tL6bX7+voSExPD119/TUpKCmPHjq1aDFGofUTIJeTi4oKLi8sLP2NnZ8e2bdte6ngnTpwgNjaWoqIiFi9ejK2trTLK/FsDBgygS5cu+Pv7ExoayuDBgxk4cKDKzie8PhFyDfDw4UN27dpFSkoK9vb2zJkzp0bOW7duXYKCgti+fTuHDh0iISGBadOmiXXeapk3KuSnT5/m6tWruLm5YW1tLXU5SnH27FmOHj2KXC5n3rx5kow5nzFjBleuXOGrr74iICAAd3f3Z4brCtJ6I0KelpbGtm3bCA8Pr9rYTt1Dnpuby7Zt27h37x52dnbMnj1b0no6d+6Mra0tmzZtYteuXVy7dg0PDw9JaxL+ovEhf/jwIe+//z5nz57FwcGBP/7446WeL9dmMTExREVFYWhoyPjx4+nVq5fUJQF/LR65YsUKTpw4QXR0NImJiSxcuFAjdwpVJxofcm1tbfr27cu4ceN48uQJa9eurfbsLank5+fzxRdfkJGRQceOHZkwYQJ16tSRuqznuLq6YmdnR0REBGvXrsXd3Z3+/ftLXdbfSktLw9fXl/LycrS0tHjrrbeYOXMmRkZGUpemNOrdpL2E+vXrM3nyZJydnSkqKlLbgMfExLB8+XKKi4uZOHEiM2bMqJUBf8rCwgIfHx969OjBwYMHCQ4Olrqk56SmphIYGIhcLqdDhw4YGRnx+eefs2HDBo2aaqvxLbm6UygUhISEkJSUhKOjI25ubmozI0xXVxcPDw+sra2Jiori3XffZdGiRbRs2VLq0gAwNDRk2LBh9O3blzp16lBaWkpJSQkRERG4uLgwYMAAqUtUChHyWuzy5cts2bKFJk2a8M4779C9e3epS3otDg4OtGzZku+++46AgABcXV0ZM2aM1GVRr149XF1dq/6sq6uLjY0NRUVFPH78WMLKlEuEvJYKCgri1q1b9OnTB1dXV8zMzKQuqVrMzMyYNWsWP/74I6dOnSI+Pp6lS5diYGAgdWlVnjx5wr1792jYsOEzu52qO42/J1c3v//+O9OnT+fx48fMnDkTDw8PtQ/4U3p6egwbNoy5c+cil8tZvHgxcXFxUpdV5datW0RGRuLo6Fg1IUgTvFEtuZGREVpaWrW25/TTTz/lypUrDBkyhEGDBmlMuP+Tra0tc+bMITo6ms8//xxHR0emTZsmaU1ZWVn4+/tjamrKmjVratUVRnVpfEuekpLCnDlzaNeuHZ6envz22294enrSrl07wsLCXnsJJWVKTU1l0aJFpKen4+3tzfjx4zU24E81aNAAd3d35syZQ1xcHD4+PuTm5kpSS1ZWFt7e3ly/fp2tW7fSpk0bSepQFY1vyRs3bsySJUuYNm0acrkcLS0tKioqqKyspEWLFpJv2Ldv3z6+/fZbXF1dGTlyJI0bN5a0npqko6NDjx49MDc3Z+/evXh7e7NgwYIa7WAsLCwkICCA8+fPExERQZ8+fWrs3DVF40Our6+v0tlYr+vpSLzi4mLee+89OnTogKGhodRlScLc3Jw5c+Zw9uxZgoKC6N+//3/d7kkZcnNz2bhxI8ePH2fbtm307dtX5eeUgsZfrtdGhw4dYsaMGbRr144PPvgABweHNzbgTxkbG+Pq6oq/vz83btzA29ubhw8fqvScf/75Jx9++CE3b95k7NixNG3aFDMzM8zMzFi4cOFL7/xa22l8S16bZGVlERAQwIMHD1i7di3t27fXqA6e6tLW1sba2pr333+f/fv34+XlxYIFC1Q2JNbe3p67d+8CPLcU19NOWk0gQl5DfvnlF4KCgujTpw9+fn6YmppK3h9QW5mamuLp6Ym9vT3BwcFcu3aNuXPnKn2ZKT09vWqNvtPT01OLyU4aEXKZTFZrv3WLi4sJDQ0lOjoaX19funfvjp6entRl1Xp6enr06tWLLVu2sG7dOubPn8+6deto1qyZZDXFxcWxZ88ebt++ze3bt0lKSqJly5a1/rK+9n8NvYS0tDRCQkI4duwY8fHxUpdT5dq1a0yaNIm0tDT27dtH7969RcBfgVwup2HDhgQFBeHk5MSkSZOIjo6u0RoKCgoIDw+nQ4cOzJ8/n+bNmzN9+nSioqLYu3cvPXr0qLUNzFNq35LLZDLkcjmPHj1i165dJCUlkZuby9SpU5k4cSKtW7eu8ZqKi4vZsWMH33zzDevXr8fJyUmsaFoN+vr6TJw4kV69euHt7c2VK1fw8vJS6aCmyspKjh07xqeffkrbtm3Zu3cvVlZWaGtrI5fLkcvl3L9/v9YHHDQg5AqFgiZNmuDn54eJiQmVlZUkJSWxZ88epk6dyrBhw1i0aFGN9V4nJCSwatUqGjduzIkTJ6hTp46491YCLS0t2rRpQ1RUFKtXr2b27Nls2LBBJV/i6enpBAQEcO/ePYKDg+nQocPfhrk2DKR6GRpxuQ5//RJoa2tXzSRav34933//PY8fP2batGkkJiaq9D+lpKSEgwcPMmPGDGbNmkVoaChGRkYi4Eqmo6PDhx9+yOTJk5kyZQonTpygvDrfuwsAAAqQSURBVLxcKcdWKBQkJSXx0UcfYWVlxcGDB+nUqZNatNYvovYt+T+RyWQ0atSIjz/+mEOHDrF+/XoWL15Mp06dlBq8yspK0tPT+eCDD7h//z5Hjhz5r3uMCdUjk8kYPnw4PXr0YOrUqVy8eBFvb+9q/bsrFAr++OMPQkJCcHJyYsqUKUqsWFoa05K/yMiRI5kyZQo7d+7kypUrSjtuYWEhx48fZ8yYMXTu3JmoqCgR8BrUqFEjfvjhB+RyOePHj+fGjRuv3dN9584ddu3axeDBgzUq4KDBLfl/GjhwIGlpaezevRszM7NqPYqpqKggIyODoKAgEhISOHjwIE2bNlVitcKr8PX15fLly0ybNo0lS5YwfPjwV+qUy8vLIyoqCgMDA8aPH6/CSqXxRrTkT3l4eNCwYUPCw8Of2w74ZT158oSTJ08ybtw4bGxsOHr0qAh4LdC1a1diY2P5/vvv8fPzIyMj46X6YCoqKjh16hRxcXGsW7euBiqteW9UyOGvPcgeP378ys9bFQoF6enpBAcHExoayr59+2pspxLh5ejr67N//37at2/PxIkTOX/+PEVFRS/8OwkJCRw/fpxZs2apfQfbP3njQm5vb0/9+vU5f/48JSUlL/V38vLyOHfuHJ6enmhra3Ps2DGaN2+u4kqF1zVz5kxCQ0NZs2YNX3311T9OdCkvL+e3336joKCAfv361XCVNeeNCznAkCFDyM7O5vLly//1s0lJSYSGhhIQEEBgYCArV66sgQqF6mrXrh0//PAD8fHx+Pr6cu3atecetSUlJXHy5EkWLFggUZU1o8ZCnpeXR0JCApcvX+bSpUtcvXqVlJQUpT3jfBW2traUlJSQmJj4j5/JycnhzJkzLFmyhIqKCn744Qexv5ea0dHRISQkBFdXV3x9fTly5EjVKqyVlZXcuHGD9PR0jZ1H/pTKe9dLS0u5fv0633zzDSdOnCA1NZXi4mIqKiro3LkzCxcuZNSoUTW6UUD9+vUxNDTk7t27VFRUPHcvduvWLQ4dOsRPP/3EqlWrcHBwqLHaBOV7+ohzzZo1xMfHM27cOBo3bkxcXByDBw+WujyVU2nIS0pKOHLkCO+++y7FxcVMnjyZXr16oaOjwy+//MKePXuqFvAbN25cjY7vtrS0JDMzk+zsbBo2bAj81XP+22+/sWXLFmxsbIiMjBQTSjSEpaUlERERBAcHExgYSP/+/YmPj2f16tVSl6ZyKg352bNnWbZsGbq6umzduhUXF5eq90aPHk3nzp2ZO3cuISEhODo61ujOGqampiQnJ1NQUEDDhg25desWP/74I9HR0SxatKjW7t0lvD4tLS2WL1/OmTNn8PHxoaCggEaNGkldlsqp7J48PT2dL774gvz8fIKDg58J+FNubm60b9+eS5cu1fiOFVZWVtjZ2VFUVERsbCybNm0iKSmJsLAwEXAN5+zszMqVK6u2f7548aLUJamUylryM2fOcOzYMebMmcOwYcP+9jNGRkYYGxsDvPbglNfVu3dv6tatS3R0NBcvXmTMmDG1YuseQfVKSkooKCigd+/etGjRgi+//JJ79+4xZMiQqt9HTaKSkD958oSff/4ZfX19evXqhbb235+mqKiIwsJCdHR0avR+vKysjNjYWI4ePUqdOnUICAioNZvwCapXVlZGRkYGFhYWTJ06FWtra3bu3ElycjJDhw6lXbt2UpeoVCoJ+YMHD7hx4wZt2rR54XYzaWlpZGVlYWFhUWPfoCkpKRw9epS4uDgGDRrEuHHjauS8Qu2hpaWFlZUV5ubmAPTq1Ys2bdoQFhbG1q1bGT58OAMHDpS4SuVRSchzcnK4f/8+FhYWL9wsICEhgUePHjFgwIAa2Y739OnTnDhxAh0dHRYtWkT79u1Vfk6h9jEwMGD48OHP7FXfuHFj/Pz8+O6774iMjCQxMRF3d3fq168vYaXKoZKQ5+fnk5GRga2t7QtXZDl69CiZmZm4urqqNOSpqal899133Lp1i27dujFhwoQ3fp3zN93f3R7K5XLGjRtH69atiYyMJDg4mJEjR6rtltFPqSTkenp6GBsbU1pa+o8daleuXOHw4cPY2dnRr18/dHV1VVEKp0+f5ujRoxgbGzNt2jS1/w8TVK9bt25YWlqyZ88edu7cSUpKCqNGjVLbCSwqCXnjxo2xsrLi999/Jy4ujiFDhjzz/s2bN1mzZg0Aa9eurbo3Uqbs7Gx27drF7du3cXBwYPTo0RrZcyqoRoMGDfD29ubkyZMcO3aMP//8Ew8PD5UsCV1eXs6lS5eIioqipKQEhUKBXC7H3NwcJycnunfvXq3VjFQScnNzc4YOHUpsbCwrV64kOTmZDh06UFxczKVLl4iMjOTXX39lxowZvP3220ofVXbhwgW++eYb6tevj4eHBz179lTq8YU3h4uLCy1atODQoUNs3LiRiRMn0rt3b6WeIz8/n61bt7Jz507s7e0xNjYmPz+fe/fuYWVlxbJly5gwYcJrH18lITcwMGDy5MkUFRWxe/duli5dSoMGDSgvL0dXV5c+ffqQm5vL+fPnOXnyJKNHj67W+WQyGXp6epSWlrJ161auXLmCo6Mjbm5uNGjQQEk/lfCmsrOzo3nz5hw7doyIiAhu3rzJ9OnTldY45eXl8fPPP2NjY8Pu3bsxMDCgsLCQw4cPs3btWr777jvc3Nxee36HygbDmJub4+Pjg6urK3fu3KGgoAC5XI6FhQVdu3bl4sWLzJ49m0WLFpGRkcE777zzWutoP72M+fXXX9m9ezdNmjTBw8NDo+cHCzXPxMSEiRMn0qJFC44ePcrKlSuxsbFRSl9ScXExiYmJjBo1irfeeqvqdSMjI44cOUJeXh6FhYW1L+TwVwecg4PD387iGjp0KDt37sTPz49du3bh4uLyWiFXKBTEx8cTFhbG0KFDcXZ2lnQrHUGzOTo60rx5c3788Uf27t1LXl7eM4/iXlVFRQU3btygvLycjh07PvNebm4uDx48oFmzZtXaSELShRwHDRpE8+bNefTo0Qufp7+IkZER8+bNY+zYsUq/VxKEv9OqVSs8PDwwNTXl3r171Vqht7S0lKtXr2JiYkKXLl2eee/o0aOkpqYya9asau1+K1OoyzYQ/6CiooK8vDzq1asndSnCG0ahUFBYWIi+vv5rP17Lzs7Gy8uLkydP4u/vj5WVFRkZGRw6dIh///vfuLq6EhgYWK3FQtU+5IKgztLS0hgyZAjXr1/H0NAQXV1dZDIZhoaGLFmyhMmTJ2NmZlatc7yRa7wJQm1RXFxMQkICY8eO5eTJk+zcuZPOnTuTkZFBdnZ2tQMOb9DmCoJQ21RUVBAXF4dCoaB///44OjoCfw3EmTlzJjExMSQnJ1d7hqRoyQVBIqWlpVy7dg1jY2NsbGyqXre1taV79+7cu3ePO3fuVPs8IuSCIJGSkhKuX79OnTp1sLa2rnrdxMQEKysrHjx4QFJSUrXPI0IuCBIpKSnh8uXLGBoaPjN/Q09PDxsbG8rLy5WyQacIuSBIpLCwkMTERHr37o1c/mwUn64grIy9CcQjNEGQSEVFBTk5ORgYGDy3vkFZWRn5+fno6OhUe/akCLkgaDhxuS4IGu5/ATtn8GecuGN8AAAAAElFTkSuQmCC)
Find x if PQ || RS and ∠1: ∠2 = 3: 5.
![](data:image/png;base64,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)
From the diagram given below, which of the following option is true?
![](data:image/png;base64,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)
From the diagram given below, which of the following option is true?
![](data:image/png;base64,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)
Find the angle ∠SOR if PQ || RS and ∠OSR: ∠SRO = 2: 3.
![](data:image/png;base64,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)
Find the angle ∠SOR if PQ || RS and ∠OSR: ∠SRO = 2: 3.
![](data:image/png;base64,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)
Find the value of x if BO and OC are angle bisectors of angle B and C respectively
![](data:image/png;base64,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)
Find the value of x if BO and OC are angle bisectors of angle B and C respectively
![](data:image/png;base64,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)
Which of the following relation is correct if the altitudes BD and CE are equal?
![](data:image/png;base64,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)
Which of the following relation is correct if the altitudes BD and CE are equal?
![](data:image/png;base64,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)
In which of the following figures do the dotted lines represent the figure's line of symmetry?
In which of the following figures do the dotted lines represent the figure's line of symmetry?
What is the value of ∠PQB if PQ ⊥ PB and RS ⊥ AR and RS = PQ, AP = BR?
![](data:image/png;base64,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)
Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical.
What is the value of ∠PQB if PQ ⊥ PB and RS ⊥ AR and RS = PQ, AP = BR?
![](data:image/png;base64,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)
Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical.
Write the rule for this translation: Slide 3 up and 2 right
Write the rule for this translation: Slide 3 up and 2 right
Which of the following figures has rotational symmetry of order more that I?
Hence Both A and C is the Correct option.
Which of the following figures has rotational symmetry of order more that I?
Hence Both A and C is the Correct option.
What is the relation between ∠1 and ∠2 if AD = CD?
![](data:image/png;base64,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)
What is the relation between ∠1 and ∠2 if AD = CD?
![](data:image/png;base64,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)
Identify the type of triangle if altitudes AD, BE and CF are equal.
![](data:image/png;base64,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)
An equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal.
Identify the type of triangle if altitudes AD, BE and CF are equal.
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)
An equilateral triangle is considered as a regular polygon or a regular triangle as angles are equal and sides are also equal.
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