Use this applet to discover the parallel lines proportionality theorem!
How are the ratios of sides AC to CF related to the ratios of sides EB to ED?[br]Move point A and/or point C to explore. [br]Does your conjecture hold true when you drag point A on top of point B to create a triangle?
Move the points around to create new triangles. Record the lengths listed in the table. (You will have to add two smaller marked segments to find the length of the longer one.)[br][br]Repeat twice to get values for all three Trials.[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAcoAAADRCAYAAABM+vIwAAAgAElEQVR4Ae2dW47UShKGe0fsArZwdsAK2AALmHd4Zim8zysPMxKIi0AgBKLFRSDVKKonSt/JE86L01WVkQ5LHP+dzgz/32/XiS5DV98cYosEIoFIIBKIBCKBxQRu/vvf/x7iT2QQ90DcA3EPxD0Q94B9D9z85z//WeyicSASiAQigUggEth7AtEo934HBH8kEAlEApFANoFolNl44mAkEAlEApHA3hOIRrn3OyD4I4FIIBKIBLIJRKPMxhMHI4FIIBKIBPaeQDTKvd8BwR8JRAKRQCSQTSAaZTaeOBgJRAKRQCSw9wSKjZI/V6NhvXz58vSzl3/+/DkOv379+jT269ev49jbt29PYz9+/DiOvX///jR2e3t7HPv48eNp7OvXr8exz58/n8ZEyybH1I+skU1q6JjUlk3OpWPv3r07joknHROvsol3HRMm3XRM9rpZY2/evDmt//nz53GqxWL5lvlaU+ropmM896XOk57byszK27pW1nW27pERzinZpz6se8PK4/v376e1eq99+/btNPbhw4fjpf3y5ctp7NOnT8cx2et55bhsMl/HpI5sUlfH5HyyWVlar0tdJ3vd0jGLy2Kw/FreUh9WllZuVkZWHhZ7yiSsMRYZLN0H+lqo3Vc1ytpis81L/+cyG5/w7IFx6brtiX0vrHvhXLqn9/6ars0lN886Fo3SSuX/Y3t40e2BcekS74l9L6x74Vy6p2U8MrDTYS72jOXRYqNcXhpHIoFIIBKIBCKB+ROIRjn/NQ7CSCASiAQigY4Eio2S/9Ck4zwul5Kd2iXMgmlyUS9Mn2qYvNRTQf4fhnzUs7GSjXo2zhwPualza/ZwrCeLYqPsea7rPXyyU3vnon9yUXPOrJq81DPyko96NlayUc/GmeMhN3VuzR6O9WQRjTJzhzBY6swSd4fIRe0OZIVh8lKvKDX8EvJRD2+80SDZqBvLuJ5ObmrXUBuY78mi2Cj15wM38OmuBNmp3YFkDJOLOrNkmkPkpZ4GECDko8aUKSTZqKeAq4QgN3Xl8mmn9WRRbJTTphZgkUAkEAlEApFARQLFRqmfgFNRa7opZKe2QB8/fnx48ODBQT91xZojx2TOzc3N6U9pjVVnyzFyUafnKHl/9uzZiUn57t27d3jx4kVaapivyUttGcxdX2EUVuXWvWQyykY+avVnXT9h5jYrJ+9TKwe5nmkWzGU0zetLrT4txpRv6Vpf+/9XyrBmb2VRW6fYKHue69aaGHUe2alTv3JT3b9///jn+fPn6eHj13Jz8gWpk/71r39dtZmQi1r9yb7Gu8x5+PDhQT9ijetH1eSlTv2Wrq8el/2oG/mo1W96/fQbIxnXbUZOZdN9moOMyz0t97b1+tV1I+15fanVY8rYcq1lrXzjwPtC646+t7Ko9RyNMpMUg6VOl8hNI9+RpTegzpPmOep3YuSibvW+xK51RtyTlzr1Wrq+szYQ5dY8ZuVUPtnn7mN5jXv4ZpD3MrVyWowt11r+f+blmwZllr2VBY/ndLFR6oeU54rMeozs1OTV7zbl5pHvzP7666+/vUPU43IjjriRi1q8tni3Xnwj8tITeak5RzNYur4y10MDIR+1slrXTxoDH8nNyqkZyN7KQY974BevvL7UymExtlxrfU1IHU+blUWt/2KjrC2013npu8WWG270zFr+x2C9+Ebnq/FXur5SoyWnmnNeY056/VLuWTnTrNMceFwfUUo2nreUcc21Tv8/5zmPGu/FRtnThWsMjDyH7NT0nN4w6U0n/xOVd5nyIhtxIxe1eG3xLi8+/Ucsuh/9MRV5qXmdStdXc5JHUcot+9EeTZGPWlmt6ydj3OR+mJGT92naRMiv76RGb5S8vtTKUnut5d9dyDW3Nqkhrw1Pm5VFrf9io+x5rltrYtR5ZKdWv9aj1vS7TrnRcjec1rrWnlzU4qfFe+5/MNdiK52XvNS6rub6tuaktS+9Jx+1+rCun/yPkE2k5X7Qupfek41afVicekz2uePpa5vrRtLkplaPFmPrtU6/gdTaI++tLGr9RqPMJMVgqXWJ3HB8F0Gt/4MZ/cVFLmphbPFuvfg0p1H35KVWvzXXV+bO2kBSrvRrzWmkPa8jtXos3ae548I/8tMhZSQ3tR63GNNrm36ta2Xv5Z01PYu2skjnLH1dbJQ9P3uydFIv42SnFv96s8hNl27yaIaP3tLv1tL51/yaXNTqqda79eLTGqPuyUstfluub+5/KqOwk49a/VnXL+VKv9a1I+3JRq0eLU49Jvul47n7getH0OSmVm8WY3pt0691reyt9Tw+qrayqPVabJS1hfY2L3cjpS8q/dr6EZFr/xxl6brVevf64lnib7m+ublL9Ucbt65f+k3SrJy8FlYOwi3f+EoeM2wWY821zv2/YIZccgzFRtnz+Xi5E3s4RnZq8Z7eWCmP3IxpY5QxPp4Vfe0XH7moLZ6cd+vFl9YY7WvyUovPluvroYGQj1qvSc29qQ0jvQ/0rxm01jX3ZKNWTxan8Mi4bNZxPh3SOiPvyU2tni3G9P9DS9dac9JanvZWFrX+i42y57lurYlR55GdelS/a3yRi3pNLW9ryEvtjaPGL/moa9Z6mkM2ak8MvV7JTd1b1/v6niyiUWauPoOlzixxd4hc1O5AVhgmL/WKUsMvIR/18MYbDZKNurGM6+nkpnYNtYH5niyKjbLnt0JvwHbVEmSnvqqpjU9OLuqNTzNkOfJSD2m20xT5qDvLDrecbNTDGT2jIXJTn/GULkr3ZFFslC4SCJORQCQQCUQCkcCZEohGeaZgo2wkEAlEApHAHAkUG2XPc13vEZGd2jsX/ZOLmnNm1eSlnpGXfNSzsZKNejbOHA+5qXNr9nCsJ4tolJk7hMFSZ5a4O0QuancgKwyTl3pFqeGXkI96eOONBslG3VjG9XRyU7uG2sB8TxZVjVJOwJO8fPny+LWM/fnz54jw+vXr09ivX7+OY2/fvj2N/fjx4zj2/v3709jt7e1xTD4xQc+hH1z7+fPn05ho2eSYztNPWZAaOia1ZZNz6di7d++OY+JJx8SrbOJdx4RJNx2TvW7WmPzlsI7rz+hYLJZvma9r+ZfMOiZ73S51nvTcVmZW3ta1sq6zdY+McE7JOfVh3RtWHvJD2LpW77Vv376dxj58+HC8jF++fDmNyUcDyiZ7XSvHZZP5OiZ1ZJO6Oibnk83K0npd6jrZ65aOWVwWg+XX8pb6sLK0crMysvKw2FMmYY2xyGDpPtDXQu2+2ChrC8W8SCASiAQigUhgxgSiUc54VYMpEogEIoFIYLMEio3SenyRPloRN9bjkHj0+vV4oeLR690jduseSe8v6zHguR/3ykVKfViPCy1v1iNE67Gl9VjRepRpPWq0Hm9aWVqvy5TLYrW4LAbLr+Ut9WFlaeVmZWTlYbHXcFrsMSYJ/PP+n33sjrr+v1WNsr7cXDPlxacbtY7NsCcX9QxsJQbyUpfWeTxOPmqPLDnPZKPOrZntGLmpZ+Ns5enJIhplJm0GS51Z4u4QuajdgawwTF7qFaWGX0I+6uGNNxokG3VjGdfTyU3tGmoD8z1ZFBvlBv6iRCQQCUQCkUAk4DaBaJRuL10YjwQigUggErhEAsVGKf8gZ68b2alnyoNc1DMxLrGQl3ppvudx8lF7ZrK8k43amjvrGLmpZ+Wt5erJotgoe57r1gKMOo/s1KP6XeOLXNRranlbQ15qbxw1fslHXbPW0xyyUXti6PVKbureut7X92QRjTJz9RksdWaJu0PkonYHssIwealXlBp+CfmohzfeaJBs1I1lXE8nN7VrqA3M92RRbJT60XMb+HRXguzU7kAyhslFnVkyzSHyUk8DCBDyUWPKFJJs1FPAVUKQm7py+bTTerIoNsotUnvx4sXh3r17h+fPn1eVk/n3798/yD62SCASiAQigUjgmgkUG6V8Gge3x48fH25ubsw/0gyt5nbORvns2bOD/JFN9kvNWDz89ddfxw+iJk9Ok506t8bbMXJRe+NY45e81Gtqjb6GfNSj+271Rzbq1jqe55Ob2jPTFt57sig2ytxzXWlMDx8+POhvNNgCRmpIU6t9RymNW5qjeHj06NE/GrUc08b+4MGDpkZJduqtOEeoQy7qEbyd2wN5qc993mvUJx/1Nbyc85xkoz7nOUerTW7q0Xxe2k9PFq4bJZujfLcgTZvfNYiW5ijNUv5Eo/znrcmbh/qfM+cbIS/1fKR3n+WpXDOzko1a2fewJzf1HthzjD1ZFBul/p48y4D1jlLe4ekfeScnc6x3iDKu7/R0np7Dmq/HZC/H5TEv11Nb73LXNEqyU9OLd00uau9cNf7JS12z1tsc8lF74yj5JRt1ad1Mx8lNPRPjGpaeLIqNMmdoqVFK05LGpFva+OSd3tOnT/XwqfHpmnT+aWIiZL40ZdlEi5+lTY63vqNcqhXjkUAkEAlEAvtJoNgo5VccLW1LjTJ9R1dqfPIIVdZooyvNVz8yX9fo31XqsXS/plGSnTqt7flrclF7Zqr1Tl7q2vWe5pGP2hNDjVeyUdesnWUOualn4VvL0ZNFsVHmnusuNUp9l6dAVuPTvz/kI1NtetZ8raVNletSLU0x3dY0SrJTp7U9f00uas9Mtd7JS1273tM88lF7YqjxSjbqmrWzzCE39Sx8azl6srhKo5SGyMez2vxqGqWGJI1W//EOtR5P99Eo00TuvubNQ23PnmuUvNRzUe7rOvM6Us94TZeYyE29NH8v4z1ZFBvl+/fvF3Nc844ybYpSPB3LvaNUMzJHfhxE1koTTN/F6jzdr2mUZKfWmjPsyUU9A1uJgbzUpXUej5OP2iNLzjPZqHNrZjtGburZOFt5erIoNsqcmTWNUupJU2Nj03eYLe8o2Rxlna5d8rumUS7VivFIIBKIBCKB/SRQbJS/f/9eTEOaU/oPd9ImKIvTd4jp308+efJk1T/mWTRmHFjTKMlObZR3O0QuardADcbJS91Qws1U8lG7Aag0SjbqyuVTTCM39RRwHRA9WRQbZc9z3Q6mIZaSnXoIcxuZIBf1RuWHLkNe6qFNrzRHPuqV5YZdRjbqYQ2fwRi5qc9wKlcle7KIRpm51AyWOrPE3SFyUbsDWWGYvNQrSg2/hHzUwxtvNEg26sYyrqeTm9o11Abme7IoNspXr15tYNFnCbJT+6SxXZOL2p491yh5qeeivKMhH/VsrGSjno0zx0Nu6tyaPRzryaLYKPcQYDBGApFAJBAJRAJLCUSjXEomxiOBSCASiAQigcPhUGyUPW9XvSdMdmrvXPRPLmrOmVWTl3pGXvJRz8ZKNurZOHM85KbOrdnDsZ4sio2y5y9AvYdPdmrvXPRPLmrOmVWTl3pGXvJRz8ZKNurZOHM85KbOrdnDsZ4solFm7hAGS51Z4u4QuajdgawwTF7qFaWGX0I+6uGNNxokG3VjGdfTyU3tGmoD8z1ZFBtlzw9pbsB21RJkp76qqY1PTi7qjU8zZDnyUg9pttMU+ag7yw63nGzUwxk9oyFyU5/xlC5K92RRbJQuEgiTkUAkEAlEApHAmRIoNsqeD5I9k+eLlSU79cUMXOBE5KK+wKmvfgryUl/d2BkMkI/6DKe6akmyUV/V1IVPTm7qC9sY7nQ9WRQbZc9z3eGSajREdurGMkNPJxf10KY3Mkde6o3KD1WGfNRDmdzADNmoNyjtpgS5qd0AnMloTxbRKDMXhcFSZ5a4O0QuancgKwyTl3pFqeGXkI96eOONBslG3VjG9XRyU7uG2sB8TxbFRnl7e7uBRZ8lyE7tk8Z2TS5qe/Zco+SlnovyjoZ81LOxko16Ns4cD7mpc2v2cKwni2Kj3EOAwRgJRAKRQCQQCSwlUGyUX758WVo7/TjZqWcCJxf1TIxLLOSlXprveZx81J6ZLO9ko7bmzjpGbupZeWu5erIoNsqe57q1AKPOIzv1qH7X+CIX9Zpa3taQl9obR41f8lHXrPU0h2zUnhh6vZKbureu9/U9WUSjzFx9BkudWeLuELmo3YGsMExe6hWlhl9CPurhjTcaJBt1YxnX08lN7RpqA/M9WRQb5adPnzaw6LME2al90tiuyUVtz55rlLzUc1He0ZCPejZWslHPxpnjITd1bs0ejvVkUWyUewgwGCOBSCASiAQigaUEio3yx48fS2unHyc79Uzg5KKeiXGJhbzUS/M9j5OP2jOT5Z1s1NbcWcfITT0rby1XTxbFRtnzXLcWYNR5ZKce1e8aX+SiXlPL2xryUnvjqPFLPuqatZ7mkI3aE0OvV3JT99b1vr4ni2iUmavPYKkzS9wdIhe1O5AVhslLvaLU8EvIRz288UaDZKNuLON6OrmpXUNtYL4ni2KjfPv27QYWfZYgO7VPGts1uajt2XONkpd6Lso7GvJRz8ZKNurZOHM85KbOrdnDsZ4sio1yDwEGYyQQCUQCkUAksJRANMqlZGI8EogEIoFIIBI4HA7FRtnzXNd7wmSn9s5F/+Si5pxZNXmpZ+QlH/VsrGSjno0zx0Nu6tyaPRzrySIaZeYOYbDUmSXuDpGL2h3ICsPkpV5Ravgl5KMe3nijQbJRN5ZxPZ3c1K6hNjDfk0VVo5QT8CQvX748fi1jf/78OSK8fv36NPbr16/jmPzlqa7Vn2GR3zKtY/prTz5+/Hga+/r163Ht58+fT2OiZZNjulbWyCY1dEx/g7WcS8fevXt3nCeedEy8yibedUyYdNMx2etmjb158+a0/ufPn8epFovlW+ZrTamjm47x3Jc6T3puKzMrb+taWdfZukdGOKdkn/qw7g0rj+/fv5/W6r327du309iHDx+Ol1Y+kFnPoZ8QInsd0w9slvk6JnVkk7o6JueTzcrSel3qOtnrlo5ZXBaD5dfylvqwsrRyszKy8rDYUyZhjbHIYOk+0NdC7b7YKGsLxbxIIBKIBCKBSGDGBKJRznhVgykSiAQigUhgswSKjdJ6fJE+WhE31uOQePR69xg5Hr3eHm9Y6x5J7y/rMeC5H/eKudSH9bjQ8mY9QrQeW1qPFa1HmdajRuvxppWl9bpMuSxWi8tisPxa3lIfVpZWblZGVh4Wew2nxR5jksA/7//Zx+6o6/9b1Sjry801U158ulHr2Ax7clHPwFZiIC91aZ3H4+Sj9siS80w26tya2Y6Rm3o2zlaeniyiUWbSZrDUmSXuDpGL2h3ICsPkpV5Ravgl5KMe3nijQbJRN5ZxPZ3c1K6hNjDfk0WxUW7gL0pEApFAJBAJRAJuE4hG6fbShfFIIBKIBCKBSyRQbJQ9HyR7CYBznoPs1Oc856Vrk4v60j6ucT7yUl/Dy7nPST7qc5/30vXJRn1pH9c8H7mpr+lphHP3ZFFslD3PdUcIp8cD2al7ao62llzUo/k8hx/yUp/jXNeuST7qa/va+vxko976PCPXIzf1yJ4v4a0ni2iUmSvEYKkzS9wdIhe1O5AVhslLvaLU8EvIRz288UaDZKNuLON6OrmpXUNtYL4ni2Kj1I+e28CnuxJkp3YHkjFMLurMkmkOkZd6GkCAkI8aU6aQZKOeAq4SgtzUlcunndaTRbFRbpHaixcvDvfu3Ts8f/68qpzMv3///kH2sUUCkUAkEAlEAtdMoNgo5dM4uD1+/Phwc3Nj/pFmaDW3czbKZ8+eHeSPbLJnM5ZP/3j48OHfvOpcMi1pslMvzfc4Ti5qjyytnslL3VrHw3zyUXvw3uKRbNQtNbzPJTe1d65e/z1ZFBtl7rmuNB1pRNKQttxa3lFK45bmKB4ePXr0t0Yt42ycrQ2b7NRbsl67Frmor+3rEucnL/Ulzn3pc5CP+tI+zn0+slGf+7wj1Sc39Uger+GlJwvXjZLNUb5bkKZd+q5BGqv8qdkYLHXNWi9zyEXtxX+PT/JS99QcdS35qEf1u9YX2ajX1vO4jtzUHlm29NyTRbFR6u/Jswxb7yi1EcleHtHKHOsdoozzEa58rZs1X4/JXt8Zcj117l2u+mO9JU126qX5HsfJRe2RpdUzealb63iYTz5qD95bPJKNuqWG97nkpvbO1eu/J4tio8yZW2qU0rTSR578xznyru/p06en0tr4dE2pUepCma/vDkWz2eoc7uW8Dx48+Js3Hg8dCUQCkUAkEAmkCRQbpfyKo6VtqVGm7+hKjU//0Y02utJ89SPzdY00TG20epx7PUfqjXNSTXbqdJ7nr8lF7Zmp1jt5qWvXe5pHPmpPDDVeyUZds3aWOeSmnoVvLUdPFsVGmXuuu9Qo9V2eAlmNT9/d8ZGpNj1rvtbShsd1qU4bptSTf5Gb+tKaS3uyUy/N9zhOLmqPLK2eyUvdWsfDfPJRe/De4pFs1C01vM8lN7V3rl7/PVlcpVFKQ+TjWW1+NY1Sw5JGq/94h1qP616aJs+l4zV7Bktds9bLHHJRe/Hf45O81D01R11LPupR/a71RTbqtfU8riM3tUeWLT33ZFFslO/fv1/0uuYdZdoUpXg6lntHqWZkjvw4iKyVZmi9W5TxpZ/t1Dq5Pdmpc2u8HSMXtTeONX7JS72m1uhryEc9uu9Wf2Sjbq3jeT65qT0zbeG9J4tio8wZXNMopZ40NTY2fYfZ8o6SzVHW6Vr6lXNY45wTOhKIBCKBSCASyCVQbJS/f/9eXC9NKP3HMWkTlMXpO8T07yefPHlyrKNNLZ2/aCBzQN+lpn9/KV/XvsskO3XmtO4OkYvaHcgKw+SlXlFq+CXkox7eeKNBslE3lnE9ndzUrqE2MN+TRbFR9jzX3YDtqiXITn1VUxufnFzUG59myHLkpR7SbKcp8lF3lh1uOdmohzN6RkPkpj7jKV2U7skiGmXmEjNY6swSd4fIRe0OZIVh8lKvKDX8EvJRD2+80SDZqBvLuJ5ObmrXUBuY78mi2ChfvXq1gUWfJchO7ZPGdk0uanv2XKPkpZ6L8o6GfNSzsZKNejbOHA+5qXNr9nCsJ4tio9xDgMEYCUQCkUAkEAksJRCNcimZGI8EIoFIIBKIBA6HQ7FR9rxd9Z4w2am9c9E/uag5Z1ZNXuoZeclHPRsr2ahn48zxkJs6t2YPx3qyKDbKnr8A9R4+2am9c9E/uag5Z1ZNXuoZeclHPRsr2ahn48zxkJs6t2YPx3qyiEaZuUMYLHVmibtD5KJ2B7LCMHmpV5Qafgn5qIc33miQbNSNZVxPJze1a6gNzPdkUWyUPT+kuQHbVUuQnfqqpjY+ObmoNz7NkOXISz2k2U5T5KPuLDvccrJRD2f0jIbITX3GU7oo3ZNFsVG6SCBMRgKRQCQQCUQCZ0qg2Ch7Pkj2TJ4vVpbs1BczcIETkYv6Aqe++inIS311Y2cwQD7qM5zqqiXJRn1VUxc+ObmpL2xjuNP1ZFFslD3PdYdLqtEQ2akbyww9nVzUQ5veyBx5qTcqP1QZ8lEPZXIDM2Sj3qC0mxLkpnYDcCajPVlEo8xcFAZLnVni7hC5qN2BrDBMXuoVpYZfQj7q4Y03GiQbdWMZ19PJTe0aagPzPVkUG+Xt7e0GFn2WIDu1TxrbNbmo7dlzjZKXei7KOxryUc/GSjbq2ThzPOSmzq3Zw7GeLIqNcg8BBmMkEAlEApFAJLCUQLFRfvnyZWnt9ONkp54JnFzUMzEusZCXemm+53HyUXtmsryTjdqaO+sYualn5a3l6smi2Ch7nuvWAow6j+zUo/pd44tc1GtqeVtDXmpvHDV+yUdds9bTHLJRe2Lo9Upu6t663tf3ZBGNMnP1GSx1Zom7Q+SidgeywjB5qVeUGn4J+aiHN95okGzUjWVcTyc3tWuoDcz3ZFFslJ8+fdrAos8SZKf2SWO7Jhe1PXuuUfJSz0V5R0M+6tlYyUY9G2eOh9zUuTV7ONaTRbFR7iHAYIwEIoFIIBKIBJYSKDbKHz9+LK2dfpzs1DOBk4t6JsYlFvJSL833PE4+as9MlneyUVtzZx0jN/WsvLVcPVkUG2XPc91agFHnkZ16VL9rfJGLek0tb2vIS+2No8Yv+ahr1nqaQzZqTwy9XslN3VvX+/qeLKJRZq4+g6XOLHF3iFzU7kBWGCYv9YpSwy8hH/XwxhsNko26sYzr6eSmdg21gfmeLIqN8u3btxtY9FmC7NQ+aWzX5KK2Z881Sl7quSjvaMhHPRsr2ahn48zxkJs6t2YPx3qyKDbKPQQYjJFAJBAJRAKRwFIC0SiXkonxSCASiAQigUjgcDgUG2XPc13vCZOd2jsX/ZOLmnNm1eSlnpGXfNSzsZKNejbOHA+5qXNr9nCsJ4tolJk7hMFSZ5a4O0QuancgKwyTl3pFqeGXkI96eOONBslG3VjG9XRyU7uG2sB8TxZVjVJOwJO8fPny+LWM/fnz54jw+vXr09ivX7+OY/KXp7pWf4ZFfsu0jumvPfn48eNp7OvXr8e1nz9/Po2Jlk2O6VpZI5vU0DH9DdZyLh179+7dcZ540jHxKpt41zFh0k3HZK+bNfbmzZvT+p8/fx6nWiyWb5mvNaWObjrGc1/qPOm5rcysvK1rZV1n6x4Z4ZySferDujesPL5//35aq/fat2/fTmMfPnw4Xlr5QGY9h35CiOx1TD+wWebrmNSRTerqmJxPNitL63Wp62SvWzpmcVkMll/LW+rDytLKzcrIysNiT5mENcYig6X7QF8Ltftio6wtFPMigUggEogEIoEZE4hGOeNVDaZIIBKIBCKBzRIoNkrr8UX6aEXcWI9D4tHr3WPkePR6e7xhrXskvb+sx4Dnftwr5lIf1uNCy5v1CNF6bGk9VrQeZVqPGq3Hm1aW1usy5bJYLS6LwfJreUt9WFlauVkZWXlY7DWcFnuMSQL/vP9nH7ujrv9vVaOsLzfXTHnx6UatYzPsyUU9A1uJgbzUpXUej5OP2iNLzjPZqHNrZjtGburZOFt5erKIRplJm8FSZ5a4O0QuancgKwyTl3pFqeGXkI96eOONBslG3VjG9XRyU7uG2rfYipEAAAr4SURBVMB8TxbFRrmBvygRCUQCkUAkEAm4TSAapdtLF8YjgUggEogELpFAsVH2fJDsJQDOeQ6yU5/znJeuTS7qS/u4xvnIS30NL+c+J/moz33eS9cnG/WlfVzzfOSmvqanEc7dk0WxUfY81x0hnB4PZKfuqTnaWnJRj+bzHH7IS32Oc127Jvmor+1r6/OTjXrr84xcj9zUI3u+hLeeLKJRZq4Qg6XOLHF3iFzU7kBWGCYv9YpSwy8hH/XwxhsNko26sYzr6eSmdg21gfmeLIqNUj96bgOf7kqQndodSMYwuagzS6Y5RF7qaQABQj5qTJlCko16CrhKCHJTVy6fdlpPFsVGuUVqL168ONy7d+/w/PnzqnIy//79+wfZxxYJRAKRQCQQCVwzgWKjlE/j4Pb48ePDzc2N+UeaodXcztkonz17dpA/ssmezVi8P3jw4OR1yR/5qMlOzTneNbmovXPV+Ccvdc1ab3PIR+2No+SXbNSldTMdJzf1TIxrWHqyKDbK3HNdaUwPHz486G80WGPeWtPyjlIatzRH8fDo0aO/NWqp8+9///t0CvHb0izJTn0qOIEgF/UEaEUE8lIXFzqcQD5qhyhZy2Sjzi6a7CC5qSfDbMbpycJ1o2RzlO8WpGnnvmuQY/IOk+86c2kzWOrcGm/HyEXtjWONX/JSr6k1+hryUY/uu9Uf2ahb63ieT25qz0xbeO/Jotgo9ffkWUatd5TyDk//yCNamWO9Q5RxPsKVr3Wz5usx2ctxeWfI9dRL73JbGyXZqenFuyYXtXeuGv/kpa5Z620O+ai9cZT8ko26tG6m4+SmnolxDUtPFsVGmTO01CilafFdW9r4pGE9ffr0VFobn65J558mJkLmS1OWTTSbbTL1+KXMXWqi1vwYiwQigUggEogEio1SfsXR0rbUKNNmVGp88ghV1mijK81XPzJf10gT1Earx2Uvx/Xdps7l8ZwmO3Vujbdj5KL2xrHGL3mp19QafQ35qEf33eqPbNStdTzPJze1Z6YtvPdkUWyUuee60njSpqiPXQlmNT59DKpNTPbayKz5Wk+bKtel2mqYsl6b5tJxPYfuyU6tx2fYk4t6BrYSA3mpS+s8HicftUeWnGeyUefWzHaM3NSzcbby9GRxlUaZNixtfjWNUsORRitNWvbUenxpbzXypbkMlnppvsdxclF7ZGn1TF7q1joe5pOP2oP3Fo9ko26p4X0uuam9c/X678mi2Cjfv3+/6E8aW+s7yrQpSvF0LPeOUs3IHPlxEFkr7xClAdZsLY2S7NQ15/Eyh1zUXvz3+CQvdU/NUdeSj3pUv2t9kY16bT2P68hN7ZFlS889WRQbZc7omkYp9dJmpe8wW95RsjnKOl1Lv/IPhuTdpm6yRh7T1j561XWxjwQigUggEthvAsVG+fv378V0pDm1vqOUYtK8+Ik5T548OdbRZlfzjnLRFA5IPf79ZcuHDUgZslPjFO4luajdg1UAkJe6Yqm7KeSjdgdSMEw26sKyqQ6Tm3oqyBUwPVkUG2XPc90VLEMtITv1UCY7zZCLurOsi+XkpXZhvtEk+agbyww/nWzUwxvf0CC5qTc8hctSPVlEo8xccgZLnVni7hC5qN2BrDBMXuoVpYZfQj7q4Y03GiQbdWMZ19PJTe0aagPzPVkUG+WrV682sOizBNmpfdLYrslFbc+ea5S81HNR3tGQj3o2VrJRz8aZ4yE3dW7NHo71ZFFslHsIMBgjgUggEogEIoGlBKJRLiUT45FAJBAJRAKRwOFwKDbKnrer3hMmO7V3LvonFzXnzKrJSz0jL/moZ2MlG/VsnDkeclPn1uzhWE8WxUbZ8xeg3sMnO7V3LvonFzXnzKrJSz0jL/moZ2MlG/VsnDkeclPn1uzhWE8W0SgzdwiDpc4scXeIXNTuQFYYJi/1ilLDLyEf9fDGGw2SjbqxjOvp5KZ2DbWB+Z4sio2y54c0N2C7agmyU1/V1MYnJxf1xqcZshx5qYc022mKfNSdZYdbTjbq4Yye0RC5qc94Shele7IoNkoXCYTJSCASiAQigUjgTAkUG2XPB8meyfPFypKd+mIGLnAiclFf4NRXPwV5qa9u7AwGyEd9hlNdtSTZqK9q6sInJzf1hW0Md7qeLIqNsue57nBJNRoiO3VjmaGnk4t6aNMbmSMv9UblhypDPuqhTG5ghmzUG5R2U4Lc1G4AzmS0J4tolJmLwmCpM0vcHSIXtTuQFYbJS72i1PBLyEc9vPFGg2Sjbizjejq5qV1DbWC+J4tio7y9vd3Aos8SZKf2SWO7Jhe1PXuuUfJSz0V5R0M+6tlYyUY9G2eOh9zUuTV7ONaTRbFR7iHAYIwEIoFIIBKIBJYSKDbKL1++LK2dfpzs1DOBk4t6JsYlFvJSL833PE4+as9MlneyUVtzZx0jN/WsvLVcPVkUG2XPc91agFHnkZ16VL9rfJGLek0tb2vIS+2No8Yv+ahr1nqaQzZqTwy9XslN3VvX+/qeLKJRZq4+g6XOLHF3iFzU7kBWGCYv9YpSwy8hH/XwxhsNko26sYzr6eSmdg21gfmeLIqN8tOnTxtY9FmC7NQ+aWzX5KK2Z881Sl7quSjvaMhHPRsr2ahn48zxkJs6t2YPx3qyKDbKPQQYjJFAJBAJRAKRwFICxUb548ePpbXTj5OdeiZwclHPxLjEQl7qpfmex8lH7ZnJ8k42amvurGPkpp6Vt5arJ4tio+x5rlsLMOo8slOP6neNL3JRr6nlbQ15qb1x1PglH3XNWk9zyEbtiaHXK7mpe+t6X9+TRTTKzNVnsNSZJe4OkYvaHcgKw+SlXlFq+CXkox7eeKNBslE3lnE9ndzUrqE2MN+TRbFRvn37dgOLPkuQndonje2aXNT27LlGyUs9F+UdDfmoZ2MlG/VsnDkeclPn1uzhWE8WxUa5hwCDMRKIBCKBSCASWEogGuVSMjEeCUQCkUAkEAkcDodio+x5rus9YbJTe+eif3JRc86smrzUM/KSj3o2VrJRz8aZ4yE3dW7NHo71ZBGNMnOHMFjqzBJ3h8hF7Q5khWHyUq8oNfwS8lEPb7zRINmoG8u4nk5uatdQG5jvyaKqUcoJeJKXL18ev5axP3/+HBFev359Gvv169dxTP7yVNfqz7DIb5nWMf21Jx8/fjyNff369bj28+fPpzHRsskxXStrZJMaOqa/wVrOpWPv3r07zhNPOiZeZRPvOiZMuumY7HWzxt68eXNa//Pnz+NUi8XyLfO1ptTRTcd47kudJz23lZmVt3WtrOts3SMjnFOyT31Y94aVx/fv309r9V779u3baezDhw/HSysfyKzn0E8Ikb2O6Qc2y3wdkzqySV0dk/PJZmVpvS51nex1S8csLovB8mt5S31YWVq5WRlZeVjsKZOwxlhksHQf6Guhdl9slLWFYl4kEAlEApFAJDBjAtEoZ7yqwRQJRAKRQCSwWQLRKDeLMgpFApFAJBAJzJhANMoZr2owRQKRQCQQCWyWQDTKzaKMQpFAJBAJRAIzJhCNcsarGkyRQCQQCUQCmyUQjXKzKKNQJBAJRAKRwIwJRKOc8aoGUyQQCUQCkcBmCUSj3CzKKBQJRAKRQCQwYwLRKGe8qsEUCUQCkUAksFkC0Sg3izIKRQKRQCQQCcyYQDTKGa9qMEUCkUAkEAlslsANPzg49N2Hv0cOkUPcA3EPxD0Q94DeAzebtdwoFAlEApFAJBAJTJhANMoJL2ogRQKRQCQQCWyXwP8AzulCMv/UMKwAAAAASUVORK5CYII=[/img]
After filling in the table above with the segment lengths, calculate the ratios identified below. (Click the ratio button in the applet for the ratios in the first and third columns.) [br][br][br][br][img]data:image/png;base64,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[/img]
Using the information found above, list the pairs of ratios that would make a proportion (i.e. they are equal).
For those you ratios listed above, how are the segments in each ratio related to each other?[br]
Drag two points together (A and B, or F and D) to make a triangle. Generalize what you discovered about the ratios to find a shortcut to solving for the length (or a portion of the length) of the side of a triangle.