IM Geo.3.9 Lesson: Conditions for Triangle Similarity

How could you justify each statement?
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[/img][br][br]Triangle [math]P'Q'R'[/math] is congruent to triangle [math]STU[/math]. 
Triangle [math]PQR[/math] is similar to triangle [math]STU[/math]. 
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAewAAADZCAYAAADi6gPKAAAgAElEQVR4Ae2dB/QdVbX/Hz2EFoogPURQpAUBBeQRQEAhPEIg1ICh80KTqgg8Hkh9goCaSAnCQ1qAEHoJRV4QTQi9JgRQMYZgqIYQEhA8//UZ157/+d3cfufOnJn57rXumntn5p7Z53vOnO8p++z9b04iBISAEBACQkAIBI/AvwWvoRQUAkJACAgBISAEnAhblUAICAEhIASEQA4QEGHnoJCkohAQAkJACAgBEbbqgBAQArlAYOTIke7iiy+OPrlQWEoKgYQREGEnDKiSEwJCoDsI/Nu//ZvjM2bMmO48QKkKgcAREGEHXkBSTwgIgX8hYIT95ptvChIhUEoERNilLHZlWgjkC4H3338/Gl1D2hIhUFYEVPvLWvLKtxDIEQLjxo2LCHvw4ME50lqqCoFkERBhJ4unUhMCQqALCJxzzjkRYZ933nldSF1JCoF8ICDCzkc5SUshUGoEBg0aFBH2Qw89VGoclPlyIyDCLnf5K/dCIBcIrLzyyhFhf/DBB7nQV0oKgW4gIMLuBqpKUwgIgcQQ+NOf/hSR9XrrrZdYmkpICOQRARF2HktNOguBEiFwyy23RIR94IEHlijXyqoQmB8BEfb8mOiMEBACASFw8sknR4SNpzOJECgzAiLsMpe+8i4EcoDANttsExH2pEmTcqCtVBQC3UNAhN09bJWyEBACCSDQu3dvt/DCC7svvvgigdSUhBDILwIi7PyWnTQXAoVH4LnnnotG11tuuWXh86oMCoFGCIiwGyGk60JACGSGwKhRoyLC/sEPfpCZDnqwEAgFARF2KCUhPYSAEJgPgcMPPzwi7Ouvv36+azohBMqGgAi7bCWu/AqBHCFgEbqmTJmSI62lqhDoDgIi7O7gqlSFgBDoEIE5c+a4HXfcMfp0mJT+LgQKgYAIuxDFqEwIASEgBIRA0REQYRe9hJU/ISAEhIAQKAQCIuxCFKMyIQSEgBAQAkVHQIRd9BJW/oSAEBACQqAQCIiwC1GMyoQQEAKzZ892Z511llt33XXdWmut5Y499lg3depUASMECoOACLswRamMCIHyIjB9+nS3xhprRHu2bSuYHceNG1deYJTzQiEgwi5UcSozQqCcCBx55JFVyRrSXmWVVcoJinJdOARE2IUrUmVICJQPARtN1zq+9NJL5QNFOS4cAiLswhWpMiQEyoXA22+/XXN0bQQ+ZsyYcoGi3BYSARF2IYtVmRIC5UJgqaWWqkvaiy22mDv66KPdM888Uy5glNtCISDCLlRxKjNCoJwIjBw5siZhE0vbRtocd9hhBzd69OhyAqVc5xoBEXaui0/KCwEhYAgQgtMnZv/7Zptt5nbdddce17EqZxvYX//6V0tCRyEQNAIi7KCLR8oJASHQCgKvvfaau/TSS90555zjJk6c6O65556YpCHsV155xZ100klu2WWXjc9D7EOHDnWPPPJIK4/SvUIgdQRE2KlDrgcKASGQJgJ33313TM6QNvL555+7K6+80m2++ebxNYh70003dZdddpmbN29emirqWUKgKQRE2E3BpJuEgBDIMwJ33XVXTMyDBg3qkZXx48e7YcOGxdchbozYjjvuOPfiiy/2uFc/hECWCIiws0RfzxYCQiA1BHzS3m233eZ77owZM9y5557r+vXr14O8d955Z6dtYfPBpRMZICDCzgB0PVIICIFsELjzzjtjMq5G2qbVrbfe6nbaaaf4XkbdX/nKV9x5553n2PctEQJZICDCzgJ1PVMICIHMELjjjjtiIh48eHBdPV544YVoanzJJZeM/wN5H3jgge6xxx6r+19dFAJJIyDCThpRpScEhEDwCNx+++0xAe++++4N9Z07d6771a9+FRmlQdj22WKLLdxVV13lvvjii4Zp6AYh0CkCIuxOEdT/C4MAU6R9+vQpTH6UkfoItEraltrDDz/s9ttvv5i0Ie/lllvOnXzyyW7KlCl2m45CIHEERNiJQ6oE84DAqaee6vj88pe/jNT98MMPowZ4zTXXzIP60jEhBMaOHRsT7x577NFSqtOmTYscr6y++upxGpA3VuislUuEQNIIiLCTRlTp5QIBm9LEuQZi65o43ZCUC4HbbrstJtwhQ4a0lfmbbropcnlq9Yrj1772NXfhhRe69957r6009SchUImACLsSEf0uBQLWsOJAA8GIaJlllnGMtCXlQ8An7T333LNtAJ5++ml31FFHuV69esWdgAUWWMAdeuihbsKECW2nqz8KARAQYaselA6B559/PmpMMRgygawhbUl5EWCvtXXkOiFtEJw9e7b7+c9/7jbaaKM4TdLeeuut3f/+7/+WF2TlvCMERNgdwac/5xEBrHppPI855phI/eeeey76/ec//zmP2ZHOCSLA/msj7b322iuRlB944AFHWpYuxxVXXDGyoXj99dcTeYYSKQcCIuxylLNy6SFwxBFHRI3nb37zm+jsmWee6eo50fD+qq8lQMAn7b333juxHP/xj390p59+ult55ZV7kDfGbvfdd19iz1FCxUVAhF3cslXOaiCwySabRA3m5MmTozv69+/v/u///q/G3TpdRgRuueWWmFSTJG3Dks7iNttsEz+DUfcGG2zgLrnkEjdr1iy7TUch0AMBEXYPOPSj6Ah88sknUSPJvlkTrV0bEjr6CNx8880xoe6zzz7+pcS+P/HEE44Zn4UWWih+1iKLLOKGDx/unnzyycSeo4SKgYAIuxjlqFw0iQDuJBnNfPe7323yH7qtzAiMHj06JtJ99923a1B88MEH7mc/+5lbb7314udRT7fbbjt3ww03dO25SjhfCIiw81Ve0rZDBGgUaQhZS5QIgWYQSIu0TRfid+PjnHpqn1VXXdWdccYZ7s0337TbdCwhAiLsEhZ6mbPMKIlGUJ6oylwLWs87jlGMPHFLmoZMnTrV/ehHP3IrrLBC/Gx0YHr+wQcfTEMFPSMwBETYgRWI1OkuAoRIpNF76623uvsgpV44BG688caYOIcOHZpq/q6++mr37W9/O34+dXjjjTd2I0aMcHPmzElVFz0sOwRE2NlhryenjABxjGno+vbtm/KT9biiIOCT9v777596th5//HF38MEH9yDu3r17Rz4F8CcgKTYCIuxil69y5yHA2iCEnZRDDC9pfS0RAhiBUY/4ZEHaQP3OO++4Cy64wK2zzjqxLuiDMSXW7ZLqCFi5Vb/6r7Ns8eS+EH0ziLDrlZyuFQqB//7v/45eRAIySIRAJwhcf/31MVEecMABnSTV8X8JE7rLLrvE+kA2RJ07++yz3fTp0ztOvygJGBGz/72e4EgJDDmGJiLs0EpE+nQNgZ133jl6EeUkpWsQlyphn7S///3vZ573l19+2Z144olREBsbSXJkFuDRRx/NXL+sFSASH3gcd9xxdVVhZM19IbYTIuy6RaeLRULAGrGPP/64SNlSXjJE4Lrrrosad+pWCKQNFJ999pm74oor3Le+9a1YN/T75je/6S6//PLoeoaQZfZoHCSBQ6PgKwQC4r4QI/eJsDOrPnpwmgi8+uqrju04aW3JSTNvela2COBmlAaez7Bhw7JVpuLpjBKZsjf9OC699NLuhBNOcC+99FLF3cX+yTIB+a8X5Idr3MO9IYoIO8RSkU5CQAjkCoFrr702JsUQXd2yjfGcc86Jdkj45D1w4EA3duzYXGHdjrKMlsk3o+d6cscdd0T3hViG6C3Crld6uiYEhIAQaBIBn7QPOuigJv+V/m0ENvne974XdzAgsrXXXtudf/75bubMmekrlMITmzU4Y30bPFjvDlFE2CGWinQSAkIglwiwPmoj2JBJG3Cff/55d+yxx7olllgi1hnd0ft3v/tdLvGvpbRZfm+77bburLPOqvnBRwMYhGhwRt5E2LVKWOeFgBAQAm0gcM0118QEiJOT0IUIdiNHjnTf+MY3Yr0hrS233NL9+te/dv/85z9Dz0JD/czy2zpTjY4NE8zoBhF2RsDrsflEYNKkSdE2maWWWsotv/zy7uijj65rxJLPXErrThHwSfuQQw7pNLnU/v/QQw8587dvpEY9/+EPf+gw3MyrmOU3I+daH9v21b9//2Cz2TJhM+XDtAJ+bClQvh9//PFqtIIt4uQVM0tKyh8jjXpiPdtQp5jq6V55jYAh1oj5R1xDvvLKK5W363fJEcD/t9WTPJE2xUZUMBwNrbbaanEeyAvv81133ZWrkrX2qpHlty1nNNqnnWXmmyZsGmab37dKaGby9rvR/rYsM6pnJ4eAWVLaC1wvZasj9e7Jy7U+ffr0aLys3nPM2ttVXjAsm55MKVs9OfTQQ3OZffynf+c734nzQX7WXXddd9FFF7n3338/+DxZe0Vno540u0+7XhrdvtYUYVvPg4IiU/4+NszlLaNclwP6bhdZ9umbAYc1RLUcDFjPNuQppmbRfOGFF3o0WJZ3//jFF180m5zuKxECPmkfdthhuc35U0895Y488ki36KKLxu/Cggsu6MjTxIkTg82XtVeNLL9pp0LnsIaEDQFbo1RvBI1/Vu5r1IsJtlSlWNMIWFk3ehGsZxvqnsamM+yce/jhh+P3wN6HyuMbb7zRSpK6t0QIXHXVVXH9yTNpU2SzZs2Ktj1tuOGGcZ54FwYMGODY2haaWHvVaFmOPDTap5113hoStmWWxrme2GiKTNcacdX7v67lBwHKmKluK3PsGaqJEXq9jl61/4V4bu7cuT0aJzCo/PTq1csdddRR7umnnw4xC9IpYwRGjRoV15nDDz88Y22Sefz999/vhgwZEueLd2KllVZyp512mgulA2sGZ/VyDJmjO3wXstQlbBshkeFmSNgasEY9mZABkW71EbAZF6vY1qGrthRS71r9p4R5FUtZq+OVx8UXX7zHtR122MHddNNNYWZEWmWGwJVXXhnXkyOOOCIzPZJ+MOQMSUPW/rsBmUPqWYm1V42W5cxCvNHANKt82HPrEratTTea+7fErIEWYRsixTuaPYNVbPtdzbLSXtwiofCf//mfPRokyyNHDHN23XXXHtdXX331yEnDtGnTigSD8tIBAj5pU5+KJkyLMz3uvxtMn8MjH330UarZtfap0bKccR2D1JClLmHbVEK10VO1TImwq6FSrHPmus8qNjMv1BMsqH2xni11omjCUgBrkjfccIP74IMPoug/1jjhJWry5Mnu5JNPdssuu2yPRovAI6yFS4QA0bSszhSRtCnhCRMmRAZpCyywQJxXDNYwXMOALQ3hXWUAybGe0F5xXzMzyfXS6fa1moSN8lahmlXC7tcIu1nE8nefWVL6L0C13qn1bKuNvPOX68Ya+44yzLsVVuOsW26xxRbxu8Q7summm7pf/epXjnVxSXkRINSltZnDhw8vLBBs/brwwgvdqquuGueXfDMjxZYxSfMINCTsZkdI9Eys8vmNefOq6M48IEAZM6L2xTp3/g6BypG4f39Rv1cjbcvrY489FoVetHeE45JLLunAiS1jknIi4JM2I88iC85jWEobNGhQzBW8BzhnwUnLX/7ylyJnP5G81SRsMzhrlrDt/kbeZBLRWolkgkA1YjZFzEGKTSlVG4nbvUU+NvJu9fbbb7vzzjvP9evXr0ejtdNOO7kxY8YUGRrlrQYCl112WVwXikras2fPduutt577xz/+EaEwZcqUyN3pcsstF+cd8sYtKu5RJdURqEnYNqXZLGHbtGijxf3qauhsHhCoZ0lpW7jMQJGXr3Iknoc8JqGj7yijnncrCHrnnXfu0WBB5Oeee66bMWNGEqoojZwgwBIJ7wwftgYWTejs21KRnzcCi2APQqARyz9HApEQkITAJJXCoOC2225z9957ryubs6KahG2jKcBrJEyBG9j8T1JMBKxTVq2MrQ6wJ7vIBmfNlqzvKKMeaZPeiy++GE2NE1DE3iOOw4YNc+PHj2/2kbov5wj4pE1QmSIJ5HvxxRfXzRIhPa2NsfeA0J+EACUUKPKjH/2oxzvCfT/72c/qplukizXZ2F+TrtZA+yCwdglwzY7G/f/qe34QqJz2rtSc8qce2Gjbtn5V3leW3z5pN+Pdat68eY7pUYzSrMHiuPnmm0fGa59//nlZoMs8n7a0k7YiEJuVfZFIGx8GtrOkEaZ/+9vf3Pnnn+++8pWvxFiASeVvw4njdddd1yjZQlyvSdjkzhpgInLVEr9H1Oz2r1pp6Xy4CFgHrp4DAltGsRepUUcv3Nwmp1m73q0eeeQRN3To0B4NFtvETjrpJEUGS654qqbEAKRym2LVG7t0csSIEXG5H3PMMV16SrrJst3x97//fcsPZep74MCBMR7WtlQeMeAsg9QlbAjY9mJD2oQXRJj+5DvnDDgaa0lxEYB8Ket6NgqQutUX7s1qlBJaKfiOMlr1bvXXv/41cryyxhprxO8a2OKgpdkRS2h4pKEP9ZX2yWwqaj2TWSDus86ldUyzNp795S9/GZc3U8J5l7333ts9++yzbWejcjBgvOMfMegsutQlbDIPadtUqA+OfeeaVfaig1Xm/Nk0d6MG0GZcsm7wQiurTkjb8jJ69GiHy1N79zh+9atfdT/96U/du+++a7fp6FxkEwA+jepr5W4GI4YQBiA+af/gBz/Idbli/d2Jj33WsP16X+17NQO1XINWRfmGhG3/oQLTGDNNzof9o+rhGzrFPzKrQses0ajZ7tPyyPx1IinvVs8884xjfbPSfzn7XP/whz/M/+ASnrHlvEaDCRp+fzcDbRy/G9XztCD9xS9+ERNVnkmbmaVHH320I9gWW2yxGItKwt5jjz06Sjsvf26asPOSIekpBEJGwHeU0al3q48//tjRoNso0Rqxf//3f3c4cSmzGBb1MIDMuQ9yN4GsQ/PO9/Of/zwmqtB0M9waHXGM0qlXs5tvvjnGwcrXjk8++WQjFQpxXYRdiGJUJvKEQJKkbfkeN26c22uvvXo0aF/60pfcj3/8Y/faa6/ZbaU4MrtDQ17PQBIgbJnHdjPY/5glCk180j7++ONDU6+hPr/5zW8iW4yGNza44cEHH5zPd8Hdd9/d4F/FuSzCLk5ZKic5QqBb3q3+9Kc/uf/6r/9yK6+8cg/y3n333SNHEzmCqG1VbR260WjUtqPa0h73++5121agS39kPd5GlHkjbTpDgwcPTgwZtkCaj36s6ssiIuyylHSVfDKNdMEFF0SBKOTHtwpAXT7lO8rohncr9qb6Ozlo7Ndff/3IgUUoa7TdgNgMHxsZjpkxrWHBiLzRmnc39G0lzUsuuSQm7RNOOKGVv2Z+77e+9a1EPfj95Cc/ibBg21dZJHXCxrQff7nrrruu23rrrR2xUyXpIkBIyGp7G3FuIEkXgW6TNrmZNGmSw+hn4YUXjht7vhPWkWtFE1vTZxoZT3G1PnRg/N0MjSzKQ8HJJ+0TTzwxFLUa6nHqqacm2t4z4KAMCd85Z86chs8vwg2pErZvJWtTOxx33HHHImCZmzxgTezj73/HO5ckXQTS8m7FSBL3kARh8MucUfj111+fbqa7+DQ/b42+hzwFXg8iytHylhfSxnEKSzOVguFku2KzJDhYKYOkRtifffZZXMGsovlH9qmGLjiqx9k8EWc+/fTTKJ4xe/+w1v3oo4/crFmzou0gxH9977333DvvvONws0cgh7feesvhBIOp5zfffNOx1vjGG29EBkFTp051RK955ZVX3Msvvxz5lmbfIbMRbOEh2DsjoSeeeCIKCk/Ff/zxxx0hG5nC++1vf+vwjEWUG4yPHnjgAXffffe5e+65x2GQgZOb22+/PXKY7wem8PG37yussELoxVBI/dL2bkXdoPG0cue4yiqrROvfIRpdNVvoZvlNQ44xWa2Pbfsyg7Nm0w/pPnxoW/nhAS8PQp0z//i0Z2zHYmqfdrIdYacFGDTy199O2iH+JzXCxumDVa5qRwIfbL/99lFQc3r8AwYMiKbMt9pqqyiSC/6UWQPZbLPN3CabbBJFc2Hqa8MNN3QbbLBBNGpgmh1HEuuss07kd3attdZyffv2dXiJIuYqAdQxxllppZUcFrSQE+HdcEPIdg50wNl87969Xa9evdyiiy4aTSMutNBC0bRLNb2LeI4OhyR9BNImbXKIBfkpp5wSvQ9+XcYzFZ2/vIkZZjUiYiPs0NesG+F/0UUXxe3qySef3Oj2zK9j4Pf973/f/c///I+jbb/rrrs60on/U2/pbJZBUiNsMxDwG4Uyf2fdZcEFF4w6BHQM6CDgCIMOAx2HpZdeOupI0KGgM8F1Ohp0OKicdEDoiNAhoWOCY3w6KnRY6Lgw7YmBER0aOjaEq6OjUzkdWlkGiyyySBnqfbB59L1bpe2Skr3bNKJ+naDuoBOzSHmQSsvvWjrzTpHPIohP2qHbodBBog0bMmSI+/vf/94x/Mzc0n5SlmVwGpRajX344Yd7NAR+o2DfV1999SiAOYY4GKNh5XrDDTdEG+4Zod9yyy3u1ltvjaZ2meJlqpceFtN7TAHff//90aiAqWGex1QxFYSpY0K3MZU8YcIEN3HixGiKmalm3OUx9cwUNGEOX3rppWhqminqV199NRqBMHXNFDZThUxpM7U9ffr0aKqbqZyZM2dGriEZmbJOSEVkipxGDmOIuXPnRlPoVC4iLjG13oqgG3tsk5LKoPGGP8eiBBtICqss0snauxXvSaWdA51JvKt14g86DSxtTbPetD7XqOt0RooiF154Ydy+hkjatIPMeuBaF5uNb37zm1UtxtF98uTJLRWLddLYzlh0SY2wAfJrX/taXKl8kqj8zsiTBgOSlbiog7DddtslBoVNI1Xizm8shyXZI+A7ysjKJSX+yZm6ZNbGrysYidKBDk3oLKMno+d6Yvu02f5VJMGnvJUTcaNDEQZSLEGcc8450cAFvfBDQBvvCwO1dsrEjJkJS1t0SZWwIeB+/frFlcoqFz0vGgemdpjGtfMcWbemIMtitl+twjEiZ5obY7ekhJkEyJlZDRrk//iP/4hxpwcsyR4Bn7QbOQHptrbMaPl1hHeTJRmWuphxCkHM4KyR5TdYon9etnG1gq1P2tgmhCDTpk2LjGQrdWE0jSc+xEi9HeMzZj2NM+rNrFQ+P4+/UyVsAwgTfEYN7CfEYrpSMHYhuosVAkem5Ni/XcR9o5X5r/Z70KBB0XR9tWtJneMFN8x5gSTZI2BGVJRLCN6t2MmARTKxua2ucCR2N0tQWQodf3Rp1uCsqAFqmBWxsgmFtGvVC5bgsPDeaKONoqXKWvc1Os/Ajjwzci+yZELYzQLKVqhzzz3Xrb322nEFpFAIbsD2JNaDyyJnnHGGwx9vt8X8UWNBzxq+JHsEfEcZoXi3YraHrZjs3jBy4MguDhpNtj2mLc1afpu+aeuX5vPwYGj5tFFsms9v9lm4GMVYlja9k9GxddaIE19kCZqwfeBZd63cN8p2LKa3itpT9vPPiBdvVd0WDORYC+Jlp9eKoZwkewRCJG1DhalotuoYQXBkpwMzAhhypiXMRtBwm6vRas/lGvc0clta7b95O+eTNl7GQhTa7/PPPz8agLE9F0PjdoQ93dQ7PPjRCSiq5IawrQCw1iZUG+tnfgPBHu4ieWuy/NoRImVLVhp7pJn2tClPliYkYSAQuncrtoXRyau0U9l5552jnR1hoFguLSBDaydPO+20oDKPjcbhhx8e60S7w2+ChDBAa1XY6kpeLZhLq//Pw/25I2wf1DFjxrhddtklrpAU1oorruiwkGx1a4CfbqjfmdpiKSANYatcqC96GvkP9Rkhe7diPZKtlgjbL3faaae4DlGX8BVw3nnnte3VKtQyCV0vMA/tXYaQ2eJVbQCCLcRBBx3k2BlDfW92KyFkTz7TmInMqsxzTdgGGnumMa7AsYhVTI707Nm7XRSh4n7nO99JLTv+fuC0OgqpZS7HDwqVtDfeeGNHYBlf8CGAgemSSy7Z491k+w7+ESTpIIAtkLWNp59+ejoPbfAUfGDUEwZdLAVh9Y/Tp2HDhkXLGexiYTbn6quvdrRRTPfvs88+0Y4X8sjOl6JKIQjbLxwcrdBzs8ppBYjRFg5Q8i6MYqisaYltgQHHRx99NK3H6jkNEPC9W4XgkhJirhfvmCUdtmfS8PrvJjGNCTiDj/5aUm0nSa17db42Aj5p583JCCNxHPrceOONjql01uexhoe8mc3BCRb34Eaa+sWadhGlcIRthfTCCy9ETuVtLdYaCRoVm7aze/N0pNfJSObtt99OTW0sL8EPX+xqPFODveGDQvJudfPNN7tm10jxQrjffvv1IG7eUzoezJaZsMd7scUWi+7DZS4k06qXQEtLx38hgPMSawvzRtrNlKH5Cmi0ta+ZtEK8p7CEbWDTc2fqhNjbVlE5sp5G5Q3F6YPp28wR385p+pnG1ao5tAFHSTgIhELaOOwYNWpUS8Dg8IKGlSlM/93E5wCuK/1z9j3NJaGWMpOjm88+++wYW2YeiyTM4lBXMH4sohSesP1CI+D5UUcdFUXjsgaAI+sfeXMUglHG5Zdf7mevq99ZP8d5DXi14z6wq8qVPHHfu1VWLikZHXcyc3XTTTdF0fr897LW97LEPu5mtfZJm103RRF2EVm9oUNYNCkVYVvhsZ4G2VU6fWDbFCMW4liHLsTYJgxprS0MWEwmvWZPQ2kvA9OVknAQyNq7FV4IicneqWCIRIQ5q2fVjuowdoryv/7vR1AsEmmbHwl8jBdNSknYfiFiyIBrPDNWsAYCRxBZu1r09az2HUMfjHiIVOYLSwDd2trgT8EWed+7j2devmdJ2sOHD0/sfdl///3rEnYjX+F5Ka8Q9DzrrLNirIuy7svaPO14PSPIELBvR4fSE7aBxjot1ocYdBlpcySONOeTiN1qz0ryyDQ/7iBt+xqjaqKiVY6u8QaXVLxYGmewIaZ3UmkmiUmZ0/K9W6XpkhKXqezdT0LwduW/g5Xfi+4vOgkMW0nDJ22+511ok6gzxMlOMmBSCO4DdpIAAB42SURBVLiIsKuUAiPrSleLuLw77LDDoq0FVf6S6amXX345clLB/lxG1tX2TNPp4HoSgo93LMZ5KTDeS9NiPQn9i56G790qLZeUbBlK0t1nrVC8GKjJUjz5Gszo2jpGRVjuWmWVVaL83H333cmDlWGKIuw64M+cOTNa02Zt2yozR9a+WQNnLTwUYQbge9/7nltrrbWqRvXCD3sjRwXN5IWRPGtETL9aUBbiI0vCQiBt0iYwTZINPeFfLQKTvXts/UqiDodVUuFowzq2YZ1kWWaRQ5Y5yQu2FUUSEXaTpYkV+d577x1XaCrDEkssEVmdMy2dtWCExnQ+U6KsazPisZEv1pJEw+lECPDA2uIBBxwQuwqcMGGCW3DBBSNMiK0tCQuBNF1STpw4MdpbnTQCU6dOdcRN5n0jgpykuwiwzctIG0vyvIoZyPbt2zevWaiqtwi7Kiy1T7Jvm/3bTAVbxeY4YMCAaL93PY9NtVPt/AqRkUaMGBElhHtIRsDMDLCOyUvYjjtCrOXxHLfnnntGBhzVtu1w3XBge5EkLAR871bt1IFmc/PJJ5+4ddddtyvR3ZgCp3NMPaPjKOkuAj5p09blUebMmRO3S3hBK4qIsDsoSQgMS0QjLI5M22GAg6e1tIStXZBqpTBNjhtTeplf//rXo1CkrG+PHz/evfbaa+7dd991H330UWRQR0eEvdakxSid2QQM7hjdNPL57O/pJCCLJCwE0vJuha/nbrmvpX7zfmW1zzysEu2+NmZpDeZ5Je2BAwdGdSbPMwWVJS3CrkSkjd9YZFPBLbybETg+zRmBdlswGJk0aVLVx0DIjLRxKUqEHKZJWd8hytlWW20VrUezVkhkHEj6pJNOcldeeWXN9Ko+xLkoug757tWrl3vmmWdq3abzGSGQBmlfe+21USCGbmSRjib1iz3aknQQYEbG2jJmavImeIRE/y233DJvqtfUV4RdE5r2LmCURZQwq+gcv/zlL0fRxHw/ye2l3vq/2GqTluEFywLklw7Chx9+2Lqy+kdXEfBnQrrhkhIjzQ022MAxPZ60sDPB3qlXX3016eSVXg0EfNKms58nef311+M6M3369DypXlNXEXZNaDq7QJAOpu+Iz20NDUdGtmlOG+My0vZod5ajxv/GuM1mGXDCLwkPgW57t2KGpnJ7F8tDRFTqVL797W9H79Kll17aaVL6fwsIENTF2rC8kbb51SAiXBFEhJ1CKeIIgqAFVuk5rrHGGo5tFPi+7aYQROFvf/tbNx/RI22MgiyfxEGuJ5UNe717dS05BLpJ2iyHsLxiwvbH/v37O6J5dSo2rf/d736306T0/xYRYD+/vddsGcyLmN577LFHXlSuq6cIuy48yV7E2xjxpZdZZpm48vMSsEea9eVuCNaSaQuuUe3lxmFLNbE9n91yoVrtmTr3/xHwvVsl7ZKSOk6nAOdDLMdMmzbt/z+4g2/swbZ6NWvWrA5S0l/bQcDIjzLAMDUP8rvf/S6qMwQuKoLDHRF2BrXu888/j7yRsTfaGiCO66yzTmQUxnpd3sVf+6r0NuR7kTvmmGPyntXc6u97t0rSJSUjMOJYd2PqGsdAvCtJjNhzW3AZKs42UWuz8kLaK620UqRzZcyFDGFs+9Ei7LahS+aPTzzxRDQKsdCV9jLsu+++bty4cck8JKNU9ttvv+hF6dOnj8N96p///OfIgYvl8eKLL85IMz3WEEiStDHyOfjggyMXvqx1EjGuUvDtjM8AOq3tCOFxqT+K2NUOesn855RTTolJG38PoQuhiKkzRRgciLADqW1MXRN8nTVnIzSO66+/vrvooouiPdOBqNq0GjTOFsKU2QPz79u7d283duzYptPRjd1FwJYnqG/tuqTENSn+v327BMi10n89ZN3Jvl52PaAnxpyS7BDAoNbaqdAdJmF0i679+vXLDrCEnizCTgjIJJNh3eWQQw6J3X7ai8GoIm+ennAtudRSS8UvNx0QHLRIwkLA927VjqMJbDAoa1/wATBo0KDIeQ/n6Xh26sKWkTl7/XkneE8k2SHgkzZhd0MV6qG1oXlve0TYodYy5xwuRlkHxMrWKhxHfIXjFICKGLr4RIDuGCRJwkTAL6t2SLtartjqh1U30+Ns9UuizmKkSV1KKxJZtXzp3L8QMD/vlEfIpE1gJHTM27a0ynomwq5EJNDfDz/8cBR8g0pnn0UWWSRqCEONSU2gENN1m222ib9fccUVgaIstbrhkpLlD+wYkuqsjRo1KqpL7LGVZI8Avh7sPWcWJURhtwo6dhoEKeu8ibCzLoEWn8+eagw9CLRgLwlH3O/hUnTevHktppj87bWMy3CqYTo/9NBDyT9YKSaCgG/h36lLSvwMYMfwwAMPOBr2ffbZxz3//PMd6ck2MatHGLpJskfAJ+1Ku4XstXPRco3VGYtiGIJereogwm4VsYDuZ5vCXnvtFTdeVMgll1wysobMKm4wwR9WXXXVSCciLN1+++09ELPpTLZa4INdEiYCSZD2p59+6oYMGeLwMW7CdqzNNtssmpp877337HTLxy222CKqYywNScJAwO+Qh0ja+KGnjSQgUl5FhJ3XkvP0Zp0Q617bo2o9Saahfatd7y9d+0oQkoUXXjiybsdRTKV8/PHH8Zo8swJFcGZQmcei/O7UJSWe7qqtGWKbwXkiyHFsxze4OX7Bb78kHAROPPHEeAAR2rZN247GICevIsLOa8nV0JsRLZa5Rtocl19+eceL9OKLL9b4V7KnR48eHYXsrJUqepjl+P7771/rNp0PAAHfu1WrLikJ2VpPZsyY4S655BJHx5JGlG2NzAx99tln9f7m2C6Iu1+r43QCJeEg4JM25RuKmNtkZiHzKiLsvJZcA72Jd820pk1PW+OGxe5NN93U4N/dv8yLbDp1I3JU93NQniek4d0Kw0lsM4h7jX0GVr04vMBQjfVRjvzmPPu98Q2NIRt1KM1gOuUp9c5yesIJJ8Tvd0ikvcIKK0R6YVORRxFh57HUWtSZEe9OO+0Uv0A0ciuvvHK0LaZy72yLSbd1+4QJE6JpcfaaG2mnPXXfluIl/lMapG3wfvHFF5F9w+9//3t3//33R372OfIbuwfzksaebuoP9UgSHgI4ybH3uxtuatvJsblFbhSYqJ200/iPCDsNlAN5Bu5BGa1YL9NeJvbH3nbbbYlrWW0k/9RTTzmMPx588MHoebgLND0ee+yxxHVQgskhYGuAlFcILinvvPPOqO7Q+ZSEiYBP2rUCAaWpOW0S9RfPi3kUEXYeSy0BnXElSRhEI0uOffv2dRjzvPnmmx0/4ZVXXom28NBBMGcZbPcipjHuJX0ZOHBgpMeaa67pGq17+v/T9/QR8L1bZe2SEit0fBFQdxl9S8JEgOUMa2eyJu0PP/ww1oU47XkTEXbeSixhfYlfzPTQ0ksvHVdkXi6241QSazuPplEnFvj48eMjw6JqU99s72Fdkuf6sZTbeZ7+030EQiJtM7DEXkMSLgK0MUbav/jFLzJVdIcddoh0CWGWqFUgRNitIlbQ+7HMxYMUI2B7sTh+9atfdVgHY9HbruClbY011nA77rhjzSSefPLJeLR06KGH1rxPF8JAIBSXlJdffnlUX3HXKwkbgWOPPTZuW7LaP4/Dpm233TbSg90JeRMRdt5KLAV9J06cGAVpIKaxT95Dhw517Xgou/feeyPrXqbGcFeKBXs1wamGPa/a/t1q/9G57BDwvVtl5ZKS5RurM3hVk4SNgE/aI0aM6FhZBhnM3tWTKVOmRIMOnO0QQIm6anXmnXfeqffX4K6JsIMrknAUmj17ths5cmTkmcoqOEeMxnCK8P777zdUlnVGerS2xsj+WRxmQM7VhNG8PQvrdknYCIRA2haSln3ckvAR8A1NOyVttmfttttuVTMNkR9xxBGR/3DWzrGhMVlvvfWidgZbnjyJCDtPpZWhrlR+CwRvhMqRc/V6uBA7ASV8wVodn9K15LDDDoteJjym4TlNEjYCWbuktHje7HaQ5AOBo48+Ou6YMyjoRJi5Y2nEBAcpzORB5LX26FtHc99997W/5eIows5FMYWjJKNqSNj88hp54x+aF49RuQnr3hiTtbP+jaEaabOG/u6771qSOgaKgO/dKm2XlOzrp64stNBCbu7cuYEiJLUqEfBJu5PZEZZFaGfGjRsXLeXtuuuu0d79yuf5v3/7299GdWaZZZbxTwf/XYQdfBGFqyB7qVnXNtLmyLo3Di1YB8cKs11LzLfeeivaZkaaOH2RhI9AlqRtHv0qg82Ej1q5NTzqqKPi9qNd0saRDkGFVlxxxchlbbOILrvsstGz27HLafYZSd8nwk4a0RKmxwiatWfbmmUETrQugto38g1dC7LHH388fpl5sSXhI5CVS0pbRjn88MPDB0ka9kDgyCOPjN/zyy67rMe1Rj+Y/sbdMstuu+yyS+QZr9F/7LoNNqizeRERdl5KKid6snebPdxG2hzZ480+TPZ8tyoYhVhaIYbsazU/Zbjf926VlkvKsWPHRvVktdVWKwPEhcujT9r+enS9jDIYwKCVbaMInhLZOopr22bkhhtuiOoMvuvzIiLsvJRUzvTEIhOvaXhPM8LliGOUVi0zzzzzzDgNTXnmoyL4pJ2Gd6tPPvnELbjgglE9YTmmmsiLXjVUwjk3fPjw+D2vR9rTpk1z+ARnCWbWrFk9MkB0uWY79jhssrbppZde6pFOqD9E2KGWTIH0wk85hiD2cnDEnzmWmliMNyNYffI/QuM9//zzzfxF92SMQNouKZkSpY5gNW6C7/qzzz7bsQeXa9qrbciEebSALpTVFVdcMZ+SLJNtueWW7qqrrprvGifYV01Et5kzZ1a9XnnS3DMzWs+DiLDzUEoF0ZHIYPSACdbAC2kfXrBm9lybF7aNNtoo9k9eEGgKm400XVKyS4E6RWAHbB7WWmutuI5ZXWvXsKmwBRRgxtg7beV15ZVXxhqyRat///7xFHh8oYMvEDXPyotLZBF2B4Wtv7aPAFFzMBaxF5Mjlr74hH799derJvzHP/7RffnLX47+M3jw4Kr36GR4CPik3Q2XlBg9/vrXv54vhKzVLdY1icn86quvhgeONKqKQCVpU77bb7+9S3rqmvSsnjTjCKqqsimeFGGnCLYeNT8CL774YrQWtfzyy8cvDi8QQR2qrVdjYGIvGGtYknwg4LukTIK0n332WYf72q222iquD1YvOG6++eaOTuHf//73fAAkLedDAIt/K1NG1t2yQcDojOdghBa6iLBDL6ES6UckLxzy20vKkWnNn/zkJ+4vf/lLjATTZHZPp16S4kT1pesIJOWSkpkWK3874moSm4j9998/ukaHT5J/BGy7HuVca92601zaVkTqTugiwg69hEqo39NPP+1o3DEwswaZ41577eXuu+++CJFTTjklvsbeTUgdg5VaPspLCGOQWfZJu5PO1je+8Y0obCsWwcReN8FnPXVl0UUXbXv/v6WlYxgI+KTN1HjSguMU6sxyyy2XdNKJpyfCThxSJZgUAvPmzYssRbEK9YmbKSw8qFVants9GB0RrlMSJgK+S8p2SbveeqMZNd51111hAiCtWkaAkLv2fneDtPEVQfq4LA1ZRNghl450ixH4wx/+4FjTYuRkL269I5bkknARSMIlZa3cHXLIIVEdYV+vpDgIWLny3l999dWJZowgIKTLskrIIsIOuXSk23wI4CgBo6VNNtmkIXHXcqAxX6I6kQkCPmm36pKynsK33nprVDfWXHPNerfpWg4R8En7mmuuSSwH5lFx/fXXTyzNbiQkwu4GqkozFQQajbbTcouZSmYL+hDfJWUrpF1vPzUR42z2RUsjxas4Bx98cFy+SZE2DleszkyePDlY0ETYwRaNFGuEwNprrx2/ZPay+UeiiUnCR6BZl5R+TrACJ5xiNcGX9KabbhrVDYwRJcVD4KCDDorffXaXJCEDBgyI0kw7PGwruouwW0FL9waFAD6qfYL2v+ctzm1QwGagTCOXlJUqEaUJD3m+TJkyJXJDynKJGSriklRSTAQOPPDA+P2/9tprO87kBRdcEKW3ww47dJxWtxIQYXcLWaWbCgJ4sfKJ2r7jv1ySLwR80vZdUtbKBVv7WPZgWxfBRnBdO2LECEcs9ddeey2uF91yuFFLL51PD4EkSfuFF16I68yHH36YXiZaeJIIuwWwdGuYCFx//fWOXjHToD/+8Y8dkcIk+USg0iVlvVxQzriq3XDDDSOr4X/+8589bsc7Fh24UaNG9TivH8VCYNiwYTHRthoJsBIJtoRSZ/CSF6KIsEMsFekkBEqMgO+SshbZYp+AV7zdd9/dYYRUTei80fhyj6TYCBBu02bXrrvuurYza37vSS9EEWGHWCrSSQiUHAGftCtdUl500UVRIIjHHnssQok9tNX8znOdRrxXr17u888/Lzmixc++T9rMurUjDzzwQFRnCP8booiwQywV6SQEhIDzXVJC2p999pnDSxof9uObTJo0yW299dbuk08+sVPxccUVV4wa4HvuuSc+py/FReCAAw6IR9rtkvYSSywRpTF+/PjggBJhB1ckUkgICAFDwHdJSQQuInRVE7ZvVbtmRkmQvKQcCFgAGGZX2onARcwC/otRY2giwg6tRKRPqggcd9xxbtttt40+zz33XMNn33HHHfH9kIGk+wj4pF3LJaU/4vY1IhgMjW+/fv380/pecAR80r7xxhtbyi3OWKgzIbo3FmG3VJS6uWgI4L6Sl5NPMw4Y/PtF2OnVBt8lZS3SrqYN8bCtfJ955plqt+hcQREYOnRoXPatkPbbb78d/2/q1KlBoSPCDqo4pEyaCLAtiMbctv+ceeaZdR/Pnl/uN9KW69O6cCV+sV2XlLZX/9xzz01cJyUYNgL77bdfTL6tbNXaaqutov/hnCkkEWGHVBrSJVUEmN6GgJkW51hvxIwjhT59+kRkvdtuu0X3421Lki4CPmk3MyOCdpdccklUXjTCkvIh4JP26NGjmwIAewjahEpvek39uYs3ibC7CK6SDhsBRtS8lEbc7OutJXYvJIHbU/4nyQaBVv1I47KU8uIzY8aMbJTWUzNFwMJnUgeaIe1nn302rjMfffRRprr7D1er46Oh76VCAILmBWZqnGnxvn37Vs0/1xldc78/jV71Zp1MBQGz/qb8mvEjvcEGG0Rl3cr6dyoZ0UNSQ2CfffaJSRhjxEaCoSL165Zbbml0a2rXRdipQa0HhYYAI2ULEmLkXU1HIwemwBlh8xLXmz6vlobOJY+AlQvl0cgl5Q9/+MOo3Pbcc8/kFVGKuUFg7733jkm7ERGzFZC6xYxOKCLCDqUkpEeqCLCFi5fRpsFtHZsRtC82ombdGrH7ZHDmo5Td92b9SD/66KNReeMUQ1JuBJol7XvvvTeqMyuttFIwgImwgykKKZImAjZSNstwW6OuNCSzkbcRuf1uZs92mvkp87N8l5T1/Egvv/zyUQN8//33lxku5d05Z85R6LTfeuutVTEhmMziiy8e1ZnHH3+86j1pnxRhp424nhcEAjZSxuAMMcMz+805yJsX2p/+5jcfSVgI+KRdyyWlua089thjw1Je2mSCAMsj9j6PGTOmqg577LFHdM+pp55a9XraJ9XypI24nhcEAjZStpGzkbONuFGSe1jjtti4dg/nJeEhYIRMI1zNJSXOM7i29tprh6e8NMoEAZ+0b7vttvl0wIc9dWbjjTee71oWJ0TYWaCuZ2aOAC8hDlBMIGXOMfJGKqfMOWeOU+we+6+O4SDgu6SsJO0PPvggKmPKWUsa4ZRZ1poMGTIkrheVpD19+vT42htvvJG1qk6EnXkRSIG0EbCRshmS2fNpyG30DJnzsdE195hVMmQuCRcBn7QrXVJuv/32UQN8wQUXhJsBaZY6Ajb1TRswduzYHs/fYostojozYsSIHuez+CHCzgJ1PTNTBGyk7E9/oxB7sZn6suuVxGwuSTU6y7T4mnq470fad0lJLG0a5QEDBjSVjm4qDwI+afvx1c8+++yozgwcODBzMETYmReBFEgbARspM9L2xda1zQWpf82mzGnsJflAwHdJaaT98ssvR40v5Thz5sx8ZERapobA7rvvHtcPI+2nnnoqOrfAAgu4OXPmpKZLtQep9amGis4VGgEL9uFPd5Nh29pFY15J5jaNblPmhQaoQJnzSdtcUn7961+PGuBmPKQVCAplpUkEBg8eHJO27Rqx2bXKNe4mk0zsNhF2YlAqoTwgYCNlSLtSjLCrkbJdq5xGr0xDv8NDwPcjjUvKE088MWqQcVUpEQLVELAAP3Te77zzTjd8+PCozhCbPUsRYWeJvp6dOgJs44J0K9enUcSuVVujpqfN/6pdSz0TemDLCPh+pE8//fSo8cXr2UMPPeQ+/fTTltPTH4qPgE/aVme+9KUvuUceecR98cUXmQAgws4Edj1UCAiBtBHwXVIycvI/p512Wtrq6Hk5QGDQoEE96olfZ84666zUcyDCTh1yPVAICIGsENhuu+1qNsAnnXRSVmrpuQEjsPnmm9esM2eccUaqmouwU4VbDxMCQiBLBPytO/5oyb7jXEUiBHwEVltttZqETb2ZN2+ef3tXv4uwuwqvEhcCQiAkBBZeeOG6jW8tn9Ih5UG6pIfA3Llz69YXCDvNYDIi7PTKXk8SAkIgYwR69+5dtwG+5557MtZQjw8NAZt9qXWs3ALaTf1F2N1EV2kLASEQFAKHHHJIXcL+xz/+EZS+UiZ7BPwdBtVIO00NRdhpoq1nCQEhkCkCkydPdnisqtbw/vSnP81UNz08TATM01m1OjNy5MhUlRZhpwq3HiYEhEDWCDz99NPOj9C0+OKLu2uuuSZrtfT8gBGYMGGC87d4sYe/MhpcGuqLsNNAWc8QAkIgOATwC034RIkQaBaB2bNnuxkzZjR7e+L3ibATh1QJCgEhIASEgBBIHgERdvKYKkUhIASEgBAQAokjIMJOHFIlKASEgBAQAkIgeQRE2MljqhSFgBAQAvMhQKQ4/E8rgMx80JTuBHVh/PjxPT6V4X6rgSLCroaKzgkBISAEWkCASG/WANciZCLEsTVIIVpbALZgt+JkZdttt626rZC6sfHGG7t6jlhE2AWrEMqOEBAC6SAASR900EE1G9/Bgwf3aHwtXCP/k5QPgQMPPDCuK/3793fHHXdc1HmjA8e1NddcM7per36IsMtXb5RjISAEOkTARsuMimhoIWMaXj7bbLONW2aZZaLG1x8tcY5rkvIhYGRNHaDu1BK/vlS7R4RdDRWdEwJCQAjUQICREUTdqPH1G2YaYv5zxx131EhVp4uKwKWXXhrXl1rLJc3mXYTdLFK6TwgIgdIjAOEaWbfS+ELyjMQl5UIAQ7I+ffpEdabR6LkZZETYzaCke4SAECg9AjS+ffv2jRpff/TcDDCQNSMtSbkQsNkYlkySEBF2EigqDSEgBAqPgE1ttroOjRER0+fNbNspPIgly6AZkiW1FCLCLlkFUnaFgBBoDwEse5kOb3V0DdFjdCQpFwIsmdjySVI5F2EnhaTSEQJCoLAIMEqm8eXTzki5nf8UFsySZMzsHWrNyFgH0OoVR6bQ64kIux46uiYEhIAQcC7aT02DWqvxpaHFIYb/0Zp1uasOW/yoM7XWr6lL9mHJhHsbTZ2LsMtdp5R7ISAEmkCg0fo1jW3lp9Wp8ybU0C05QsAIm2MjsbXuek5TSEOE3QhJXRcCQqD0CFjj28xatE11trLtq/QAFxAAqzONprlZLqGz18y2PxF2ASuKsiQEhECyCFjjW2t603+ajbT9c/pePgRsVgb/4PXE1rqbqlv1EtI1ISAEhIAQcJFlOETcqPE1j2a11rqFZXkQ8A0V6zlNsc4gx0aiEXYjhHRdCAiB0iPQbONro6pmGt/Sg1oCAOi40dHD21mtJRK7px6pG1QibENCRyEgBIRAHQSYsqTxxdtZrcbX7mlk7VvnMbpUIARYnzabBuoOuwiIic7n+OOPj2ZsOM+nGWnurmZS0j1CQAgIgQIjUNn4ElrTGl+OhNM0v9GNrH0LDJOyVoEA9YYZF9u6ZQRtR0bYzW4BFGFXgKufQkAICIFaCND4WqhEa3D9I5a+jayCa6Wt88VHgJkZpr751JqlqYeCCLseOromBISAEKiBgDW8dtSougZQOp0YAiLsxKBUQkJACAgBISAEuoeACLt72CplISAEhIAQEAKJISDCTgxKJSQEhIAQEAJCoHsIiLC7h61SFgJCQAgIASGQGAIi7MSgVEJCQAgIASEgBLqHgAi7e9gqZSEgBISAEBACiSEgwk4MSiUkBISAEBACQqB7CPw/L6sjhdAZ62IAAAAASUVORK5CYII=[/img][br][br]Triangle [math]G'H'I'[/math] is congruent to triangle [math]MNO[/math]. 
Triangle [math]GHI[/math] is similar to triangle [math]MNO[/math]. 
For each problem, draw 2 triangles that have the listed properties. Try to make them as different as possible: One angle is 45 degrees.
Draw 2 triangles that have the listed properties. Try to make them as different as possible: One angle is 45 degrees and another angle is 30 degrees.
Draw 2 triangles that have the listed properties. Try to make them as different as possible: One angle is 45 degrees and another angle is 30 degrees. The lengths of a pair of corresponding sides are 2 cm and 6 cm.
Compare your triangles with your neighbors’ triangles. Which ones seem to be similar no matter what?[br]
Prove your conjecture.[br]
[size=150]Here are 2 triangles. One triangle has a 60 degree angle and a 40 degree angle. The other triangle has a 40 degree angle and an 80 degree angle.[/size][br][br][img]data:image/png;base64,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[/img][br]Explain how you know the triangles are similar.[br]
How long are the sides labeled [math]x[/math] and [math]y[/math]?[br]
Under what conditions is there an Angle-Angle Quadrilateral Similarity Theorem? What about an Angle-Angle-Angle Quadrilateral Similarity Theorem? Explain or show your reasoning.
Cerrar

Información: IM Geo.3.9 Lesson: Conditions for Triangle Similarity