Mathematics
Grade9
Easy
Question
- LK=LM
- KM=JN
- KM ll JN
- KJ ll MN
Hint:
If a line is drawn parallel to any one side of a triangle so that it intersects the other two sides in two distinct points, then the other two sides of the triangle are divided in the same ratio.
The correct answer is: KM ll JN
In the given triangle, we have LK/KJ = LM/MN, then we have KM is parallel to JN.
Hence, the correct option is B.
It is also called basic proportionality theorem.
Related Questions to study
Mathematics
Find the length of the segment AB
![](data:image/png;base64,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)
It is also called basic proportionality theorem or Thales' theorem.
Find the length of the segment AB
![](data:image/png;base64,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)
MathematicsGrade9
It is also called basic proportionality theorem or Thales' theorem.
Mathematics
In the given triangle
then the line segment DE ll AC
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAdYAAAEmCAYAAADfiLFDAAAgAElEQVR4nO3de3BU9f3/8VdaWgcZZWl68ZpCgBEt1I2A0oK6sZUgqM2KIKBiVnAkYnWDEjowNKT9aodgu9HBKh3srgULVMsyKNFA7UbFViq4S2Wqo4ZkolSthCxescWe3x/89nSXbEIuZ/fs5fmY2Zn9bPbyJpq88j6X9ykwDMMQAACwxJfsLgAAgFxCsAIAYCGCFQAACxGsAABYiGAFAMBCBCsAABYiWAEAsBDBCgCAhQhWAAAsRLACAGAhghUAAAsRrAAAWIhgBQDAQgQrAAAWIlgBALAQwQoAgIUIVgAALESwAgBgIYIVAAALEawAAFiIYAUAwEIEKwAAFiJYAQCwEMEKAICFCFYAACxEsAIAYCGCFQAACxGsAABYiGAFAMBCBCsAABYiWAEAsBDBCgCAhQhWAAAsRLACAGAhghUAAAsRrAAyWkNDgwoKCpLepkyZorq6OrW3t9tdJmAiWAFktH379nX5tcbGRi1ZskRTpkwhXJExCFYAWaOsrEyGYcgwDL3wwgsaMmSIJGn37t165JFHbK4OOIZgBZCVJk2apJ/85Cfm+s9//rON1QD/Q7ACAGAhghVA1jp8+LB5v7i42MZKgP8hWAFkpZ07d+qhhx6SJA0ZMkR33323zRUBxwywuwAA6KnGxkYVFBQkPDZkyBCtX7+ejhUZg44VQFbr6OjQtGnTVFdXZ3cpgCSCFUAWiT/d5uDBg3r44YfNry1ZskQ7d+60sTrgGIIVQFYqLCzUrbfeqsrKSvOx1atX21gRcAzBCiCrDR061LwfjUZtrAQ4hmAFkNVaW1vN+xzAhExAsALIWmvWrDFPuZGkOXPm2FgNcAyn2wDIGslOt4nZsGGDJk2alOaKgM4IVgAZbfTo0V1+bdy4cRo/frzuvvtuNgMjYxQYhmHYXQQAALmCfawAAFiIYAUAwEIEKwAAFiJYAQCwEMEKAICFCFYAACxEsAIAYCGCFQAACxGsAABYiGAFAMBCBCsAABYiWAEAsBDBCiDjRaNRBQIBRaNRu0sBTohgBZDRIpGIPB6PPB6PSkpKdPLJJ+svf/mL3WUBXeKycQAyViAQUFVVVadOtby8XMFg0KaqgO7RsQLIONFo1OxSY6F6yimnmF/fsmWLnn32WbvKA7pFsALIKE1NTSopKVEgEDAfczqdev7553XzzTebj9XV1dlRHnBCBCuAjBCNRlVVVaXS0lK1traaj3u9XoVCITmdTlVXV5uPb9++XU8++aQdpQLdIlgB2C7WpdbX15uPORwOBYNB+Xw+ORwOSdI555yj22+/3XwOXSsyEQcvAbBNNBpVbW1tp1NpXC6XgsGgGajx3n77bRUVFZnrTZs2aebMmWmpF+gJOlYAtohEIiotLVV9fb0Zqg6HQ36/X6FQKGmoStLZZ5+dsEmYrhWZho4VQFrFhj3U1tZ26lL9fr+GDh16wvdob2/X2Wefrc8++0yS5Pf7VVFRkbKagd6gYwWQNrFhD/HnpjocDvl8PoVCoR6FqiQVFhbStSJj0bECSItkwx5cLpd8Pp+cTmev3+/TTz9VUVGR2tvbJUkPPvigbrvtNsvqBfqKjhVASiUb9hDrUoPBYJ9CVZJOPvnkhK511apVltQL9BcdK4CUaWpqksfjSTgv1el0yufzyeVyWfIZRUVFevvttyVJ9913n+666y5L3hfoKzpWAJY70bAHq0JVkhYvXmzer6ur0+eff27ZewN9QccKwFLJutTYaTTl5eUp+cxzzjlHb7zxhiTpZz/7mZYvX56SzwF6go4VgCViXarb7U4IVZfLpZaWlpSFqqRORwhz3VbYiWAF0G99HfZglXnz5pkHQX388cecfgNbsSkYQL/U19f3a9iDVTZs2KA5c+ZIkr785S+rra1NZ5xxRto+H4ihYwXQJ5FIRG63O+mwh2AwmNZQlaTZs2fre9/7niTpiy++oGuFbehYAfSa1cMerLJlyxa53W5z/eabb2rEiBG21YP8RMcKoMdSNezBKuXl5frBD35grulaYQc6VgA90tWwh5qampQe8dtb27dvV1lZmbn++9//rjFjxthYEfINHSuAbp1o2EMmhaokTZ48WVdddZW5pmtFutGxAuiSHcMerPDCCy/okksuMdcvvfSSLrroIhsrQj6hYwXQiZ3DHqxw8cUXa+bMmeaarhXpRMcKIEHsmqmRSMR8LHaAUjZdTHzPnj0aN26cubZ6RjHQFTpWAKb6+nqVlpYmhKrL5VI4HM6qUJWksWPHJtTc3641Go1qxYoV/S0LeYBgBbLYgQMHLHmf1tbWjBr2YJX4GcJPP/20Ghoaev0esc3iw4YNU21tLeGKEzMAZKWamhpDknHLLbf06338fr/hcDgMSebN5XIZ4XDYokrtVVlZaf67Lr300l69NhgMGkOHDk343jgcDqOlpSVF1SIXEKxAFjp06FDCL3uPx9Pr9+jo6DAqKio6hYbP5zM6OjpSULU9WlpaEv6Njz/++AlfEwqFDKfTmfC62B8cwWAwDVUjmxGsQJa64447En7p33jjjT1+bSgU6tSJOZ3OnA2Nu+66y/x3jh8/vsvnhcPhTn9s5OofHEgdghXIYosWLUoIgFmzZnX7/I6ODsPr9XYKDq/Xm9Oh8f777xsnnXSS+e/93e9+l/D12Pfl+E3iBCr6gmAFslx1dXVCGFx77bVJn5esS3U4HDnbpR5v+fLl5r979OjRhmEcC9Rk+5hjm31PtC+1o6PDqKmpSUf5yCIEK5ADli1blhAK5eXl5te66sZcLldedWIffvhhwvdg0aJFXe5HPdGBW8d/TwlXxCNYgRwRO0o4dps2bZrxyiuvdAqP2ObNfHTvvfd2CtL4fcw9+b5wpDBOZEBvTs0BkLlWrFihAQMGaPny5ZKkbdu2qbGxUUePHjWf43K55Pf7s/a81P6IRqN677339KUvfUn//e9/zccdDodqampUUVEhh8PR5eubmppUVVWVMDxDOvY9vfPOO/Pye4ou2J3sAKx1fOcqyRg8eHDeHoTT1aZwScbAgQONt956q9vXc6QweovJS0AOCQQCuv/++zs9PmLECN18883ddmS5qKmpSSUlJaqvrzcnSknSwIEDJUmfffaZNm3alPS18ZfLCwQC5uOxiVQtLS3yer159z1FD9id7AD6L9mwh4EDByasv//97xsHDx60u9S06GrAQ+xc3TVr1iR084cPHzZf298jhQGCFchy3Q17WL16dcLjF154ofHee+/ZXXLKtLS0JD1PN9lm2zFjxphfX7ZsmWEY3U9cypURj0g9ghXIUl0Ne6ioqEgIkPjuTJJxwQUXGO+8846NlVuvuwEPNTU1SfeDrlu3znzegAEDjCuuuKLPRwoD8QhWIAv1dtjDI488kvDcMWPG5NQmzeO/Fz3tMseNG5f01BsOTEJ/EKxAFunPsIdHH3004TXnnnuu8eabb6ap8tSK37/cmwEPgwYNSvienHrqqUZFRUVO/dGB9CNYgSwRDof7PezhscceS3j9yJEjjddeey2FVadHR0dHj7vMZN1+7DZjxow0VYxcVmAYhtGrw4gBpF19fb1qa2sTThnp67CHxx9/XDNnzjTXQ4cO1datWzVmzBjL6s1EXQ14KC4u1v79+831vn379J3vfCfd5SGHcB4rkMGi0ajcbreqqqrMUI2dRxkMBvs07WfGjBnavHmzuW5tbdXUqVMVDoctqzuTtLa2muejxodq7Pu4Z88eTZ061Xx81apVdpSJXGJ3ywwguWTnUjqdTstO+9i6dWvCe5922mnG3/72N0veOxP05kjhpqamhOe8/PLLNlaObEewAhkm2bCHVB2l+vTTTxsDBgwwP2fTpk2Wvr+denuk8PTp09nXCksQrEAG6W7YQ6rs2LHDGDhwoHH//fen7DPs0NsjhXft2pXwfX/uuefSVClyDQcvARkgGo2qtrZW9fX1CY9XVFTI5/Mxj7YPotGohg0b1qMr18TMnTtX69atkyRNmzZNTz31VKrLRA4iWAGbJTta1eFwyO/3q7y83MbK8s++ffsSjo5+5plnVFZWZmNFyEYcFQzYJHb1FLfbnRCqLpdLLS0thKoNRo8erVtvvdVc19XV2VgNshUdK2CDSCQij8fTqUutqamR1+u1sTLs379fw4cPN9ebN2+W2+22sSJkGzpWIM3q6+s7nVPpcrkUDocJ1QxQXFyc8N+BrhW9RccKpEk0GpXH49GWLVvMx2Jdak8PrkF6vPvuuyoqKtLRo0clSevXr9f1119vc1XIFnSsQBps2bJFw4YNSwhVp9OpUCgkr9dLqGaY008/XdXV1eaaaUzoDYIVSKFYl+p2uzuNJAyFQnI6nTZXiK5UV1fr1FNPlSTt3btXa9eutbkiZAuCFUiRpqYmlZSUKBAImI85nU75/X661CwwePBgLV682FyzrxU9RbACFoudRlNaWqrW1lbz8YqKCoVCIU6jySLV1dX61re+JUl688039cADD9hcEbIBwQpYqKmpSaWlpQkTlBwOh4LBoPx+P11qlvnqV7+asK+1rq5OHO+JEyFYkVYNDQ0qKChIehsxYoRmzZqljRs32l1mr3U37CEcDtOlZrFFixZp2LBhkqQDBw6wSRgnRLAirfbt29fl15qbm7Vp0ybNnj1b48eP1969e9NYWd9FIhGzS012gFJfrpmKzHJ81/rJJ5/YWA0yHcEK25SVlck4doUlHTx4UNu2bdO4ceMkSbt371Zpaan2799vc5XdY9hDfliwYIHOO+88SdKhQ4foWtEtghUZobCwUFOnTtUzzzxjhmtHR4duu+02mytLLhqNyu12q6qqqlOXGgwG6VJz0PFd6wcffGBjNchkBCsySmFhoXw+n7lubGzMuK61qamJYQ956KabbjL/6Dty5AhdK7pEsCLjTJo0yfwFJkk7duywsZr/iQ17KC0tTehSvV4vwx7yRHzXet9996mtrc3GapCpCFZkpPirixw+fNjGSo7pbtgDFyLPHzNmzNAll1xirulakQzBiox0wQUX2F2CJIY9oLP4aUwPPvigXn/9dRurQSYiWIEuMOwByVx55ZUqKysz13StOB7Bioz0yiuv2PbZDHvAicTva/X7/QqHwzZWg0xDsCIj7d6927xfVFSUts+NRCJyu90Me0C3LrvsMrndbnNN14p4BCsyzs6dO9Xc3GyuL7/88rR8bmzYQ1NTk/kYwx7QlfiudePGjXrxxRdtrAaZhGBFRmlvb1dVVZW5rqysVGFhYUo/k2EP6IsJEyZozpw55pquFTEEKzJCe3u7GhoaNGXKFHMz8PDhw/Xzn/88pZ/LsAf0R3zXunXr1ow55xr2Ilhhm8bGRvPKNl//+tc1bdo0M1TLysq0ffv2lHWrDHuAFc4//3zNnz/fXKeia122bFmXV4SK3dasWWP556LvCFak1ejRo7v82rhx41RZWalt27bpmWeeUXFxcUpqYNgDrBTftf7pT3/S1q1bLX3/PXv2WPp+SL0Cg6v2Ik9Eo1HV1tYqEAiYXap0bNgDgYr+uPPOO/XAAw9IkiZOnKidO3da9t5TpkxRY2OjJGnlypUJQY7MRMeKvBA/7CF+06/f72fYA/pt8eLFKigokCS9+OKL2rhxo80VwU4EK3LaiYY9VFRU2FgdcsVZZ53V6bJyyF8EK3JWJBKRx+Nh2APSorq6WoMGDZIkhcNh+f1+myuCXQhW5KTYsIf402gY9oBU+trXvkbXCkkcvIQcEzuNJj5QAbusXr1aCxcu7Nd7xB+8lExlZaV+/etf9+szYC06VuSMZMMeTjvtNBsrQr5LR9d66NChlH8GeodgRdaLv2Zq/Gk0Xq+Xg5Ngq7a2Nq1atcqy91u5cqUMw0i4cQRy5iFYkdViwx7ir5nqdDoVDAbl8/n0i1/8otMvIm7cUn1bvXq1+f9jXV2djhw5YsePB2xCsCIrxZ9G09raaj5eUVGhUCjENVNhq4ULF2rUqFGSpIMHD3IgU54hWJF1GPaAbHD8EcLsC80fBCuyBsMekE08Ho9KSkokSZ988gldax4hWJEVGPaAbHR81/rOO+/06/2WLFnC1W2yAMGKjMewB2SrWbNmaeLEiZIkwzD6dITw2LFjrS4LKcaACGSsZMMeHA6HampqVFFRwb5UZIWtW7fqRz/6kbl+4403NHLkSBsrQqrRsSIjJRv24HQ6FQqF5PV6CVVkjauvvlo//OEPzTX7WnMfwYqM0t2wh1AoJKfTaWN1QN/E72tdu3at9u7da2M1SDWCFRnjRMMe6FKRrS6//HJdffXV5pquNbexjxW2i0ajqq2tVSAQSOhSKyoqCFTkjBdffFGTJk0y13/96181YcIEGytCqtCxwlYMe0C+mDhxombNmmWu6VpzFx0rbNFVl+pyueT3+zkvFTkpHA7rggsuMNfPPvusLrvsMhsrQirQsSLtGPaAfFVSUiKPx2Ou6VpzEx0r0ioQCKiqqoouFXnr9ddf17nnnmuun3zySV155ZU2VgSr0bEiLaLRqNxutzweT6cuNRgMEqrIG6NGjdLChQvNtZXXa0VmoGNFyjU1Ncntdid0qU6nU36/n/NSkZfa2tr07W9/21z/4Q9/0IwZM2ysCFaiY0XKMOwBSK6oqEh33323uWZfa26hY0VKNDU1yePxJFyEfOjQofL5fFyEHJD0wQcfqKioSEeOHJF07PiDm266yeaqYAU6Vlgq/pqp8aFaUVGhcDhMqAL/3ze+8Y1Ol5VDbqBjhWVip9HEX4Q8doASFyEHOvvkk09UVFSkQ4cOSZIeeughLViwwOaq0F90rOi3+H2p8aEau2YqoQokN2jQILrWHESwol8Y9gD0T3V1tc4880xJUktLi371q1/ZXBH6i2DNcc3NzSl770AgoNLS0oRrpsa6VK/Xm7LPBXJJQUFBp6713//+t40Vob8I1hy2YsUKjRgxQnPnzrX0fRn2AFjrjjvu0MiRIyVJ77//PpuEsxwHL+WoTz/9VIMGDTLX5eXl2rx5swoKCvr1vgx7AFJj7dq1uuWWWyRJp556qtra2jR48GCbq0Jf0LHmqJNPPjlh89KWLVs0efJkffTRR316P4Y9AKk1f/58nX/++ZKkDz/8kK41i9Gx5rif//zn+ulPf2quL7roIm3evFlnnHFGj98j2bCH2DVTOS8VsM5jjz2mG264QZI0YMAAtbW16fTTT7e5KvQWHWuOW758uXw+n7netWuXJk+erDfeeOOEr+1u2ENLSwuhCljs+uuv14QJEyRJR48epWvNUnSseSJ+/410bFbp5s2bNXbs2KTPZ9gDYI9gMKhrrrnGXDc3N6u4uNjGitBbdKx5Yv78+dq4caO5bmtr0+TJk/Xcc88lPI9hD4C93G63LrvsMnNN15p96FjzzLZt2zR9+nR9/vnnkqSvfOUr2rx5s6688kpFIhHV1tYmnJfqcDhUU1PDealAGjU2NmrKlCnm+tVXX9Xo0aNtrAi9QceaZ6ZNm6bt27ersLBQkvSf//xHV111lSorK5MOewiFQoQqkGZlZWWaNm2aue5r1xqJRLRixQqrykIP0bHmqVdeeUXTp09POCgpJtalVlRUyOFw2FAdgOeff16XXnqpud61a5cuvPDCHr02Eono0UcfVSAQUDQaVU1NDQGbRgRrHlu/fr3mzZuXMD7tzDPP1FNPPcV5qUAGmDlzph5//HFJ0vTp0/XEE090+/zjAzXG4XAoHA4zFS1N2BSch2IHKN14442dZpIeOHBAW7dutakyAPHih7z88Y9/7HSwYUwkEjEPOoy/IIb0v106hGoaGcgroVDIGDp0qCHJvA0ePNhwOp0Jjy1evNjuUgEYhnHTTTeZP5dTp05N+Fo4HDa8Xq/hcDgSfn4lGS6XywiHwzZVnd8I1jzR0dGR9AewvLzc6OjoMAzDMK655pqEry1YsMDmqgHs27cv4eeyoaGBQM1wBGseCIfDnTpSh8Nh+P3+Ts+dO3duwvNuuOEGGyoGEG/BggXmz+RZZ51FoGY49rHmsGg0qvr6+l4Ne3j00Ue1cOFCc71+/XqVl5fL4Bg3wDZz5swx77/zzjud9qGGw+EeXQyD02/SxO5kR2qEw2GjvLy8U5fq8/l69PolS5YkvHbNmjUprhjA8VpaWizZ5Hv8puOampoUV57fCNYc5Pf7O/0g9mUz0f/93/8lPWACQGp1F6ix27p16074Pl3ti3U4HEZLS0sa/iX5iWDNIR0dHV12qbEDlHprz549xpEjRyyuFEAyJ+pQ58+fb67HjBnT5ftwcJO9CNYckew0GqfTyQ8QkAV6usn38OHDxuDBg7vcRUOgZgaCNcvFTqM5/ofI6/X2uUsFkD69DcJ77rnHfM7w4cMNwyBQMw0jDbNYU1OTPB5Pwrxfh8Mhv9/PRciBLFFSUtLpqH2fz9flEb5Hjx5VUVGR3n33XUnSpZdeqr179yYcKdyT90HqcLpNFoqNJHS73Qmh6nK51NLSQqgCWcTv90vq+WkzAwYM0Pz58831c8891+fTb5AadKxZJhKJyOPxJPyF63A45PP5uAg5kKUikUiPQrC1tVX3339/pyH7Eh1qJiFYs0Q0GlUgEFBtbW2nv079fj8DtoEc1l2gStIpp5yiAwcO6JRTTrGhOhyPTcFZINalVlVVmT9UsS6Vq1YAuau1tVVVVVUqKSlJetWaESNGSJI++ugjrVq1yq4ycRw61gwXCAQSAlVikw+Q63q6yXfdunWaO3euJOmkk05SW1ubvvnNb9pRMuIQrBkqdoBSIBAwH3M4HKqpqVFFRYUcDoeN1QFIldjPfU/3oV544YV6+eWXJUl33XWX7rvvvrTViuQI1gyU7DQap9Mpn88nl8tlY2UAUq23p9888cQTmjFjhrluaWlh95DN2MeaQWJdamlpaUKoer1ehUIhQhXIA709/ebaa6/VpZdeaq7r6upSXiO6R8eaIRj2ACCmp6ffxDQ0NGjatGnm+h//+IfOPffcVJSGHqBjtRnDHgAcr7cHJk6dOlVXXHGFuaZrtRcdq40Y9gDAKk1NTSotLTXXu3fv1tixY22sKH/Rsdqkvr5epaWlnQ5SCIfDhCqAXnO5XLrmmmvMNV2rfehY0ywSiai2tlZbtmwxH4udRuP1em2sDEC227VrlyZMmGCun3/+eV188cU2VpSf6FjTKBAIqLS0NCFUXS6XQqEQoQqg3y666CLdcMMN5pppTPagY00Dhj0ASJdXX31V3/3ud811Y2OjJk+ebGNF+YeONcWamppUUlKSEKpOp1N+v19er5dQBWCpMWPG6JZbbjHX7GtNPzrWFIlGo6qtrVV9fX3C416vVzU1NQQqgJR56623NHLkSHMdDAY5dS+N6FhTINalxoeqw+FQMBiUz+cjVAGk1IgRI3TnnXeaa7rW9KJjtVCsSz1+gLbL5VIwGCRQAaTNP//5TxUVFemLL76QJP3+97/X7Nmzba4qP9CxWiQSiai0tDThmomxkYShUIhQBZBWZ5xxhqqrq801XWv60LFaoL6+XrW1tZ26VL/fz1UmANgmGo3q7LPP1scffyxJWrt2rebNm2dzVbmPjrUfIpGI3G53woXIYyMJg8EgoQrAVg6Hg67VBnSsfRQIBBICVTrxdRMBIN0+//xzFRUV6V//+pck6YEHHtCPf/xjm6vKbXSsvRSNRuXxeOTxeJJ2qYQqgExy0kknJXStTGNKPTrWXkh2zVSn06mamhrOEQOQ0YYNG2b+7lq5cmVC2MJadKw9EBtJWFpamhCqXq9XoVCIUAWQ8RYvXmzer6ur06effmpjNbmNjvUEknWpsdNoCFQA2eS8887Ta6+9JkmqqanRihUrbK4oNxGsXWDYA4BcEwgE5PF4JEkDBw7U22+/rcLCQpuryj0Zvyl4586dKigoMG8jRoxI+Wd2NezB5/Mx7AFA1qqoqNDYsWMlSZ999pllp9+0t7errq5O48ePT/h9PWXKFK1Zs0bt7e2WfE7WMDLcddddZ0hKuG3bti1ln+fz+QyHw5HweS6Xy2hpaUnZZwJAumzatCnh91tbW1u/3m/Dhg3GkCFDOv2ejr+tXLnSouqzQ0Z3rO3t7dq0aZMkaciQIebjTz31lOWf1drayrAHADlv5syZmjRpkrnuT9fa0NCg2bNnq6OjQ5K0dOlSNTc3yzAMHTx4UNu2bVNZWVm/a846did7dzZs2GD+xfPwww8n/AV08OBByz7H7/cn7VLD4bBlnwEAmWLr1q0Jv+9ef/31Xr/HwYMHjeHDh5vvsXTp0hRUmp0yumPdsmWLef/aa69N+Mtnx44d/X5/hj0AyEdXXXWVJk+ebK770rXu2LFDzc3Nko5tUVy0aJFl9WW7jA3W+M3A1113nQoLC+V2u82vx4duX8SumRoIBMzHnE6n/H6/vF4vBygByGnxAyJ++9vfKhKJ9Or18b+DJ0+ezNHF8exumbty/GZgwzCM5uZmSzYHd3R0dLujnRs3btzy7Xb77bf36vdo/GbgfDs46UQytmP95S9/ad6//PLLJUnFxcUaN26c+XhfNwc7HA5NmDChfwUCQI4YNWpUrzcHxzYDo7OMDNb9+/dr9+7dkqRx48apuLjY/Nr8+fPN+/GbcXsrL49UA4AkRo0apYEDB9pdRs4YYHcBycR3ovFBKimh02xsbNT+/fsTgrenVqxYwTgvAIDlMrJjXbt2rXl/wYIFCZM8jj9S14qjgwEAvRO/1S9+ljoyMFjjNwP3RHwIAwDSIzYaUZK2b99uYyWZJ+OC9YknnjDvL126VIZhdLrFHxa+e/du7d+/345SASBvzZs3z7zf3NysNWvW2FhNZsm4YP3Nb35j3p84cWLS55x//vkJIw7ZHAwA6VVcXKylS5ea6wULFqiurs5sdNrb29XQ0KBZs2Zp1qxZdpVpi4y6bNzevXvNfahDhgzRoUOHunzubbfdpoceekjSsSOHX3755Udh65EAAAGGSURBVLTUCAD4n2XLlunee+/t9jnXXXedNm7cmKaK7JdRHetLL71k3q+srOz2uXPmzDHv92afLADAOvfcc49eeOEFVVZWavjw4ebjQ4YMUVlZmR5++GE9+OCDNlaYfhnVsQIAkO0yqmMFACDbEawAAFiIYAUAwEIEKwAAFiJYAQCwEMEKAICFCFYAACxEsAIAYCGCFQAACxGsAABYiGAFAMBCBCsAABYiWAEAsBDBCgCAhQhWAAAsRLACAGAhghUAAAsRrAAAWIhgBQDAQgQrAAAWIlgBALAQwQoAgIUIVgAALESwAgBgIYIVAAALEawAAFiIYAUAwEIEKwAAFiJYAQCwEMEKAICFCFYAACxEsAIAYCGCFQAACxGsAABYiGAFAMBCBCsAABYiWAEAsBDBCgCAhQhWAAAsRLACAGAhghUAAAsRrAAAWIhgBQDAQgQrAAAWIlgBALAQwQoAgIUIVgAALESwAgBgIYIVAAALEawAAFiIYAUAwEIEKwAAFiJYAQCw0P8DLn51iPIFOH8AAAAASUVORK5CYII=)
It is also called midpoint theorem.
In the given triangle
then the line segment DE ll AC
![](data:image/png;base64,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)
MathematicsGrade9
It is also called midpoint theorem.
Mathematics
If the line divides the two sides of the triangle proportionally then the line is
If the line divides the two sides of the triangle proportionally then the line is
MathematicsGrade9
Mathematics
If two triangles are similar then their corresponding sides are
If two triangles are similar then their corresponding sides are
MathematicsGrade9
Mathematics
If a ray bisects an angle of a triangle, then it divides the opposite side into segments
If a ray bisects an angle of a triangle, then it divides the opposite side into segments
MathematicsGrade9
Mathematics
If three parallel lines intersect two transversals,
If three parallel lines intersect two transversals,
MathematicsGrade9
Mathematics
If a line divides two sides of a triangle proportionally, then it is parallel to the third side.
If a line divides two sides of a triangle proportionally, then it is parallel to the third side.
MathematicsGrade9
Mathematics
If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.
MathematicsGrade9
Mathematics
If a line parallel to one side of a triangle intersects the other two sides
If a line parallel to one side of a triangle intersects the other two sides
MathematicsGrade9
Mathematics
Polygons are similar when
Polygons are similar when
MathematicsGrade9
Mathematics
Identify the similarity criteria if the two triangles in the figure are similar
![](data:image/png;base64,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)
Identify the similarity criteria if the two triangles in the figure are similar
![](data:image/png;base64,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)
MathematicsGrade9
Mathematics
If the area of two similar triangles is 144 and 225, respectively, then what is the scale factor of similar triangles?
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)
If the area of two similar triangles is 144 and 225, respectively, then what is the scale factor of similar triangles?
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)
MathematicsGrade9
Mathematics
If the area of two similar triangles is 144 and 225, respectively, then what is the scale factor of similar triangles?
If the area of two similar triangles is 144 and 225, respectively, then what is the scale factor of similar triangles?
MathematicsGrade9
Mathematics
Scale factor of A to B is 2: 9. If the perimeter of A is 18 cm, what is the perimeter of B?
Scale factor of A to B is 2: 9. If the perimeter of A is 18 cm, what is the perimeter of B?
MathematicsGrade9
Mathematics
If the perimeter of two triangles ABC and PQR are 24 and 36, respectively. What is the ratio of their corresponding sides?
If the perimeter of two triangles ABC and PQR are 24 and 36, respectively. What is the ratio of their corresponding sides?
MathematicsGrade9