Quadrilateral [math]ABCD[/math] is similar to quadrilateral [math]A'B'C'D'[/math]. Select [b]all[/b] statements that must be true.
What is the length of [math]AD[/math]?
What is the length of [math]BD[/math]?[br]
What is the area of triangle [math]AEH[/math]? [br]
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SPuROyHmjcQYGSJcl7p0qXleiZLnBicKVOmGB4KX331VeB9ONZgAT2g+fPny+Dh4YcfNmgFRVpKCYa5bJ06dcz111+vXvvIXojyHnlKSFn1jaOAlMavuKaJwWndurU8CCAbyifzYGCE8+GHH5qjR48GinBYlaOddrSeUkowXAfU/+GGycl0abxGPH1otFPwXVHHWs3bCLDyhOgVwlso7PEw5cX0AaU/RNgQJqcqp18NxzgyLCSm2rGUEwx1ayCYuXPn2jk/3cYY06lTJ1nZYOit5h8EyKNat26dyJUQVUzsDdPdiy66SKZYVHEgz8pPix6sBqNUaLcSacoJhuVXK0NWvfH2bhZWLyBlP12I9loWnq2QmsApun37dkO5YEYAEA39Wq1aNdO3b1/xZXh9ZI+PCYJB2N+OpZxgOKkePXoIsHZOULcxMo+nRhFVGdWCgQAPVx4YLIszdbrhhhvknoBwiDQmwJJFESRIvWT4m2rWrCmObDvnlRaCsSoZOlmP2U5j/bwN9Ym4+NSCjQBlcBmxWuV96XN8OORRrVq1ynz33XdpJZ2dO3dKQT7+2rG0XbHUTSIRTc0eAla1TPXD2MMrKFshrkUMDqVhcPZDPFSfIMqYUjekPqQycZMVMe7dgQMHSi11nL44rTmPvCxtBGMJgqsMYl7dkvszLiI0T9q1a5f7S/0kFAh8/vnn4qdhqowfE9IhY5zRLZHHEA5OWG56N40yNKyOMa0jf4ugw7Fjx+Z5yLQRzL59+2TIT9KZmj0EKAFCvSE1RQAfDtMUgtwIcONmh2wo30KVBW74lStXio/HDbRw8iLuxWowL3xJeVnaCIaT4WZh2U7NHgJUTGROrkp39vAK01aU92WFhyhjRjPIibLag7wo79EyJkUn1VPstBIM8R3cMIxm1OwhAF4dOnSwt7FuFVoESNy04nDQMq5evbrca9TduuWWW2TlKtp951QGf1oJht7nhkE9Xs0eAgyBUbtTUwTiRYDETWqKU4+K+44XIf/kVVHFgbQH4tQo/ct3Z555pq10gGjn4QmCQfNEzR4CXCB0PnWE1BSBZBBghGPF4BBnxZSKlV2LfPhbo0aNpGYYaScYypmwOkIClZo9BOj4Pn362NtYt1IEbCJAYiY+m0iC4X98O4la2gmGMhQ0CE+4mj0EWrZsKYLgTs2T7R1VtwoyAqQoDB48OBfBMH1Kpspo2gkGZ1RGRoZU7UOHVi02Aoz2IGVNGI2NlW4RHQHSFYioZ3pExPCaNWtk+ZkRMvK2xN4kY2knGE6etXxuGJ0m2etKym6AV37BTfb2oluFHQH0XCjJiwbx7NmzpaidhYlTibWeIBg0T7hhUMlSi40ApThIGCULN9pSY+w96RZhRIAHFNG33HOE/OOmcMs8QTAIgtevX18U9LXsp72uXrFihVwgDGnVFAE7CBw8eFBC+yEWQv2Rj3DbPEEwNJJlVxqOXoZabAQsj//o0aNjb6xbhBoBlqOnT58u+jMsOyPDmirzDMGgkKXTpPi6vXfv3qZ48eISsRnfL3XrMCCAhCfSKDhvL7nkEjNq1CjDokoqzTMEg1+hRYsWwrK6mmTvEpg6daqQMpUI1RSBSASYCZCDROUDUgUoMJcO8wzB0PghQ4bIDeN2unk6gHbjmLt375blReQW1RQBEMBhSzxLgQIFRAN47969hhSBdJmnCObll18WgtHysv9/OTB35snDRcLro48+ynWdtGnTRjDL9YV+EDoE8GOWKlVKlp2RakgnsVjge4pgOClqJuGLCbuRVk9SI1hEvnLiQu0dvs9PjyPn9vp/8BCgcoGVLT1hwgRPNdBzdzLlHZRgjEHfg3rI1EmOZjjtzjnnHNO4ceNom+l3AUSAES0F3rhfbrvtNk/WW/IcwTAVADBEjsNsJ06cEO8/eMQyyEVJORZKwfmeQLnf/va3ItaGEgESll41zxEMQKFRQRZnmA1xZUgDsW/UyKilw0pbXmalWjBUVgsuAoxWWTkkloVAueeeey7fa8IrKHiSYO666y65ucK8/MrFhDD6iBEj5IXIc6VKlfItvgYZocuqFkwEkLukogDTYXLQUhGF6wSSniQYGsYNgz8mzMaIhTo4VF6gAFfTpk3zlcusVauWKJGFGa8gtp2RbJcuXeR+QGLWbzFiniYYKsip/YwAsoY8wfKyzZs3y0VI8pqa/xFgBEvtIx60TIl27drly0Z5lmAmTZok4KKSHkYjzDunMaJDsDk/42JkuZLaOGr+RIARK6oClStXlihcvysMeJZguDy4YQYNGuTPKyXJs0bCgvIT5Gihwztu3DhTpkyZqE8y8OJFykWqy1Mk2dzQ/xxiyczMNM2bN5dAOao5UkbW7+ZZgiEKsUKFClLBzinxGz91FqMQYhx49erVSyovxBLksgiGvxRPV/MHAmTG08fly5eXEeq2bdv8ceI2ztKzBMO5L1y4UJ7IZISG1SgZa1cQKJJgeB9m3PxwvRDrhJ+FMiHEMi1btkwc+n44d7vn6GmCYZmaG+WZZ56x255Qb2cRDPko1nsVBvfmJUHeHQ57sp1nzZrlu9Uhu6h6mmBgeCIVUbtjuU4tOgKQCitv/OVpSKnZKlWqRP+RfptSBJgOWZHXQ4cOTemx03EwTxMMgHCjcMOoNGTsy6NgwYKG+Tu+q8iL97PPPov9Y93CVQTwqfXs2VOu5QYNGoTmgel5grGU7ojuVYuOgFWC9/777zdFihQx5KyopReBI0eOSOQtDtxLL7006VKs6W1N/Ef3PMHwRK5ataowP3NVtfwRsMLHX3zxRcGL8HK19CBAmMDy5ctFqhLZDWQUcNiHzTxPMFScQ1OUaRJTAL9GNKbywgIzAu66d++eysPqsX5CYP369ZIXxuoQkdX79+8PLTaeJxg6h8xRCIYXTwO12AhALuBFDpNaahBgOnTHHXeYwoULS90h0jfCbr4jGG6aX//612Hvt5jtZ2kfrMKckR4TJAc3GD9+vODN0nOsgEgHD+v5XfmCYMgURsSYG4ZcHP5q2dTo1xYjF5aoNWE0Ok7Jfoufhbwhrslp06Ylu7vA/d7zBIOTlxsFBa+SJUua4cOHm3/84x9S40X9MdGvR4uMo2+l38aLAGksONBvvfVWmQ4xog6jA9cObp4nGOQA27VrJ22xRjJWw7ygmm6dixf/WjFEOmR3rnd27NghjtuMjAxJKlVso2PreYJ57733zJIlS6QVjF4Yin766afRW6XfZiFw5plnSiR01gf6JiEEGDU/++yzUoeKVU1CJvKS1Eho5wH+kecJhiJsiO9YBsF069bN+lf/xkCgWbNmsrwfYzP9OgoCBHtSepVlZ+JZqFelZg8BzxNMzmaUKFFC82tyghLlf/xUkDIC0WrxIUA8ETKl4IdcJblxavEh4DuCseoxr1ixIr6WhnhrbhCEjNTsI2DV50JoW1Mu7OOWc0vfEQwN4Ibp0aNHzrbo//kg0KFDB1HD0+qP+QD008cImzHSw4HLCz0iteQQ8CXBEM1bt25djVK12feWrg46x2q5EaB6A/osyCgwBR81apT58ssvc2+on8SNgC8JhlUlRjELFiyIu8Fh/AFPZvK4kN9Uy44AeUP4V3DgIqewYcOG7Bvof0kh4EuCOXbsmBAMTxo1ewigD1O2bFlDPWM1Y7iGBg8eLKpyN954o6F6xY8//qjQOIyALwmGVPhGjRpJcXgSzNRiI0A8EaO+OXPmxN444FvMnj3bFC1aVCpl8j6MovKp6mJfEgzgEOHLDUOMglpsBA4cOCCOS4S7whoBzfSHeBauG0ucKy/kTp8+LX4YSvGSBgB2aokh4FuC2bJli1woLFur2UOA2krcXIS7h8kgCPKGaPtNN91kTp48mW/zt2/fLtsRzMm1NX36dKOj5HzhivmFbwmGYe1tt90mw1xdfo3Zz7KBlZsUlmqZ+FmoD8WSc+3atc2qVauiAsVq0tlnn20o0avmDAK+JRiaT8wCT6U9e/Y4g0bA94L492WXXWY6duxoqCQYVKOOFHlDaOAigE51hVOnTsVsLv4pS9AsMj0l5g91g3wR8DXB4LgsXry4asPk2725v0DCEVK2c8Pl/rX3P8EnxwLABRdcIKOXeOp0I5Z+5513SkWG9u3bm9atW8tDDJ+MWmII+JpgaHLbtm1FQV8zW+1dAGQBQzBr16619wOfbEUwYefOnWV1iL+bNm2K+8xbtmwp2CxevNjs3LlTgu8YBc2dOzfufekP/h8B3xPMgw8+KBeFdqg9BJgakV+D5EBQ7Mknn5RrgOlNLD9LtDa3atVKpo+R2zzxxBMSoEhohFr8CPieYMh4RQcV9TY1ewh07drV96TMUvv8+fOl7xmRUaolWbvvvvtM7969s+1m5syZInimqQPZYLH9j+8JhpY2bNjQ9zeM7R5zYENWkbgpmQr4zZgKZ2ZmioxCsWLFTP/+/Q1OXScMn165cuUkypf9saqEQ5xRclhjh5LFNRAEYym6a6F3+5fDeeedJ0Fn9n+R/i13794tgW84cBmx/ulPf3L8pPr06SNO4pEjR0pdKWQuOK5aYggEgmDw8vNExvOvZg8BsAIzPzyZUZAj74yERHxHjMDcCu8nH4nM6hEjRsgKksqz2rue8tsqEARD43DwESSlZg8BRJQgGOonednwrVx00UUSUIkzV30hXu6t3OcWGIJ54YUX5IZZs2ZN7lbqJ3kiAMFce+21eX6X7g+3bt0q58Y59u3b1xw8eDDdp6THTwCBwBAMbeditEqcJIBF6H6CPgyBikT4esWoL0T5VfqySZMmZt++fV45NT2PBBAIFMGQKUuMh5o9BAiH50amqF26jTiTp556Sqa55557rlm9enW6T0mP7wACgSIYgqy4YYhWVbOHQKFChSQk3t7Wzm/FiGXevHnivEUQC2cupWrUgoFAoAiGuAUIZtCgQcHonRS0YvTo0TJq2Lx5cwqOlv0QVEWkblPFihXNgAEDQicjkR2NYP4XKIL5/vvvDeHeV155pWp42LxeifGAlMk+TpXh80H4iqqTxLNQ59kPy+WpwidIxwkUwdAxrCJxw2jJCXuXKWJKBK4hsOS2hANRuPhZcCxXrVpVIondPqY9FHQrtxAIHMF8/PHHQjBej+9wq0MT2e+0adMEMzenSStXrhRSKVCggPhZdMSSSE/57zeBIxiekmh64DCMRwvEf13n3BnjC3Fr1Mcyc4MGDWT/jJJw6qqFB4HAEQxdR5YtNwzJa2qxEWCaRAg+/iunlNyQMUXAiehqfGJu5A3FbplukW4EAkkwCDcTSzFmzJh04+ub47OaBCkfOnQoqXMmb2jChAmSSEmIP3KV6mdJClJf/ziQBEOPMBwvUqSI5q7YvDwXLVokBIMweKL20ksvmVq1apkqVaoYMtw1UTBRJIPzu8ASDE9RnsgnTpwITm+52BKW+OvVqyfTmXgPs3fvXtOiRQvBm7whrR4ZL4LB3T6wBINzsUyZMqLpEdzuc7ZlvXr1EpKwu1cibocPHy6/wc+iPi+7yIVnu8ASDF2IKjyjGDV7CFipFpSDiWZff/21YWmbKShypSqKHQ2tcH8X6LtvypQpQjBHjx4Ndy/H0foaNWqIsFNeP8FZ+9Zbb8k0qmTJkmbIkCFGqznkhZR+ZiEQaILhhuApS41hNXsI9OzZM9eoD5U3/CpU0kRqE0kM9bPYwzPsWwWaYOjcq6++OtcNE/ZOj9Z+6gExrezUqZOUANm1a5dBbb9y5cqC5fr163XUEg1A/S4bAoEnGKsesyrdZev3fP+x4mEgGWKJyHRGYwfFwC+++CLf3+kXikBeCASeYGg0N8vNN9+cV/v1swgEiOKtVKmS4AVmvCCXbdu2RWylbxUB+wiEgmBq164tRdDtwxLOLUl2xHlrkQt/27Rp41j6QDhRDXerQ0EwW7ZskZuGVSW13AiQN4RsJjIKjFiYGp1xxhnid6FEiJoikCgCoSAYwOFpTPqA2s8IEOVMDAukQtkXyoJg77//voGMteDYz1jpu8QQCL44aUAAAAdXSURBVA3BdO7c2Vx88cXm8OHDiSEVoF+hxbJu3TpzzTXXiEbL4MGDzYEDBwLUQm2KVxAIDcEgF8AoJuyC4IxK2rZtK/EsxLXwP3EuThmF0SjqpqYIgEBoCIbCXRAMNYfDahRxL1q0qETiMoJJNgoXaQamWJEaMqQZkNOkpgiAQGgI5ocffjBMBcqVK2f27NkTqt6n/GpGRoY566yzZATnlD4LqQKQtjXtRK2ObOoZM2aECl9tbP4IhIZggOD111+XG+LVV1/NH5EAffPuu++axo0bS5sp5k6SolO2YcMGifaNnHYiUUqVAK1r5BTK/t9PqAgG3ZIKFSoYpgpBNsL9KQtSrFgxCTB0esTG1Kp///7m8ccfl/KukyZNEjhXrFihNamCfGEl0LZQEQz43HPPPaZw4cLm888/TwAub/+EekOPPfaYISO6fv36rpVu2bRpkyxtf/LJJ6K7a/lcIJhkJTe9jbCeXbwIhI5gnn/+eZkyBC0beM6cORLLgvATJVvcVPIjnmjs2LFyrU2ePFmmYfxz+vTpeK8/3T7gCISOYIhaJagsKEF3H3zwgalbt66E+LNCdvz4cVcvWSsqunTp0qZmzZriOK5WrZqrx9Sd+xeB0BEMXdWhQwcZxfi324z55ptvjKXd0qRJk6yVHLfbVL58edGDIYVgyZIlUkEAR6+aIpAXAqG8Mgi246bwY2E2piFIKlDXmbIgrOakypBswH8VaQTWKcFEIqLvIxEIJcEAAPWYKTbmF2PE8sorr8i0BFU5AtqI7UmVETsDkbDUH2lUI+DztWvXRn6s7xUBQSC0BGOV2fD6dUAYP/EshPeT5Uy1xHSsgL3zzjumS5cuecJFqd79+/fn+Z1+GG4EQkswKNzx5PWy0h15Qty8OFHRweUmV1ME/IRAaAmGToJgGjVq5Mn+GjVqlCQk4sBdvny5OHU9eaJ6UopAFARCTTANGjQwpUqVigJP6r8iCZG8Ic5r5syZSSckpr4FekRF4GcEQk0w+DIYxfzud7/7GZE0vSOcv3nz5nI+AwcOTNNZ6GEVAWcRCDXBACUEk05BcISeIBTkKnE8+3Hp3NlLUvcWJARCTzDk0aCkn+ocmpMnT4osZfXq1Q2i5PhZ1BSBoCEQeoJhpYZRDDk1qTDiSYiCpSAcEp5Tp041p06dSsWh9RiKQMoRCD3BMJKgvCzLwW4beTytWrWSZed7773XkI2c07Zu3WrGjRtn0G8ha1lNEfAzAqEnGDrvkUceEaU7yqS6YUS7op9SqFAh07FjxzwLmSHEffvtt5vLL7/c9OnTR95TVRF5CTVFwK8IKMEYY95++22ZJi1YsMDxfly4cKHsu0qVKiYzMzPq/vEDRarBbdy4UTK/qQetpgj4EQElGGOkZAfRskxbGEkka4T3v/HGG6ZOnTpCLrNnz05ol9u3bxfxqDfffDOh3+uPFIF0I6AE81MPjBkzxhQsWNDs27cvqT4huxmtmbJly8q0COX9eAyhKKZq7Gf48OHm7rvvVidwPADqtp5CQAnmp+6wpjJMlxIx5CqHDRsmUxryhqjDlIgtXbpUkgopigZJkeiopgj4FQElmJ967tixY6ZWrVqGYmTxFCJDRoGQfsTEyRtatmxZUtKR+GGQ80S4m9WkevXqaZKjX+8uPe/w1EWy09f9+vUTn4ndukHkDV1xxRVSfhUdXOoCOWnovRBlPHHiRCd3q/tSBFKGQGhHMMS/5BTGpmAYQXc7duyI2gHffvutxLOwLeVB4vWzRN15xJcch+oASjARoOhbXyEQSoIh/wdy6N27d67OQsgaUfD8jJpK/JaCZkeOHMlvs7g/Z1pE2sK0adPMokWL5IWUBHEx6RCYirsB+gNFIA8EQkkwRO2ef/75Mr3JiUn37t2FQCI/p/Yy5VeZDvG71atXR37tyHu0bSGX6667zlSuXFkyq8ePH2+OHj3qyP51J4pAOhAIHcEQtEaZj6efftqgkJ/TrLpJRNVS2B2nLXKVjGoeffRRw7RFTRFQBOwhECqCIYiOVaKHHnpIguuY6kQazl2rpAnf8YJYhg4dakiKVFMEFIH4EMh+h8X3W99tvXLlSpHIPHz4sJw7BBLpoCU0HzU5i1z4iwiU3VUl3wGiJ6wIuIxAaAiGekJt2rQRmQTiVubNmydEErliRHYzPpZIgrHqLrvcD7p7RSCQCISGYNBggTiIkCV4rWHDhqZAgQJm+vTp2TrWWqpm26pVq5q9e/dm+17/UQQUAfsIhIJg8L3UqFFDisJHQtO0aVPxx0R+xnscuW5JN+Q8lv6vCAQZgVAQzJQpUySvJ2emNLorjGTUFAFFwB0EQkEwEAnJjDkNHVyU49QUAUXAHQRCQTD5ad6yOuR0/pA73aR7VQT8iUAoCMafXaNnrQj4HwElGP/3obZAEfAsAkownu0aPTFFwP8IKMH4vw+1BYqAZxFQgvFs1+iJKQL+R0AJxv99qC1QBDyLgBKMZ7tGT0wR8D8CSjD+70NtgSLgWQT+D2VOJczzOrlUAAAAAElFTkSuQmCC[/img][br]What is the length of segment [math]BB'[/math]?
Do you agree with either of them?
Explain or show your reasoning.
Mai thinks knowing the measures of 2 sides is enough to show triangle similarity. Do you agree? Explain or show your reasoning in the applet below.
Approximate the scale factor.