Congruent Parts, Part 1: IM Geo.2.1
[url=https://im.kendallhunt.com/HS/teachers/2/2/1/preparation.html]“Congruent Parts, Part 1”[/url] from IM Geometry © 2019 [url=https://www.illustrativemathematics.org/]Illustrative Mathematics[/url]. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0[/url] license.
Table of Contents
- Geo.2.1 Lesson
- IM Geo.2.1 Lesson: Congruent Parts, Part 1
- Geo.2.1 Practice
- IM Geo.2.1 Practice: Congruent Parts, Part 1
IM Geo.2.1 Lesson: Congruent Parts, Part 1
What do you notice? What do you wonder?
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[/img]
Triangle ABC is congruent to triangle DEF.
[math]\triangle ABC\cong\triangle DEF[/math][br][br][img]data:image/png;base64,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[/img][br]Find a sequence of rigid motions that takes triangle [math]ABC[/math] to triangle[math]DEF[/math].
What is the image of segment [math]BC[/math] after that transformation?[br]
Explain how you know those segments are congruent.
Justify that angle[math]ABC[/math] is congruent to angle [math]DEF[/math]. You can use the applet below.[br]
For each figure, draw additional line segments to divide the figure into 2 congruent polygons. Label any new vertices and identify the corresponding vertices of the congruent polygons.
Use the applet below.
[list][size=150][*]Draw a triangle.[/*][*]Find the midpoint of the longest side of your triangle.[/*][*]Rotate your triangle [math]180^{\circ}[/math] using the midpoint of the longest side as the center of the rotation.[/*][*]Label the [b]corresponding [/b]parts and mark what must be congruent.[/*][/size][/list]
Make a conjecture and justify it.
What type of quadrilateral have you formed?
What is the definition of that quadrilateral type?[br]
Why must the quadrilateral you have fit the definition?[br]
IM Geo.2.1 Practice: Congruent Parts, Part 1
When rectangle ABCD is reflected across line EF, the image is DCBA.
[img]data:image/png;base64,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[/img][br]How do you know that segment [math]AB[/math] is congruent to segment [math]DC[/math]?
Triangle FGH is the image of isosceles triangle FEH after a reflection across line HF.
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMsAAAENCAYAAAChPZEuAAAc7ElEQVR4Ae1dB8zWVBvFX0REFMQJKmI0boOJ0Rg14MYNLsCJiyEgH7JkDycCstyi4ojRaBTjTJy4t+DeoqCAbEEcrPvnVJ7369u37dv2a3tv23OT5rb3Pr3jPPf09GnfUU8xEQEiEAiBeoGsaEQEiIAiWbgIiEBABEiWgEDRjAiQLFwDRCAgAiRLQKBoRgRIFq4BIhAQAZIlIFA0IwIkC9cAEQiIgCdZNmzYoObPn1+2zZs3T7399tvq+++/j2X77rvv1DvvvFPWh/QZcPx1Nlu/fr3COOzbZ599pmbMmKE++uij2LdXX31VzZ49u6w/9L1u3bo6z4UNJIuAL1mmTp2qJk+eXNpuvvlm1bVrVzVmzJhYthEjRqiamppS++hr0qRJaubMmcnO2tY6yHLfffepe++9t7TdcccdavDgweqmm26KfevXr5+6/fbbS32h37vvvptksfnE1F1PsrgNGGqTxObWF8uIgGkIhCKLaYPneIhAmgiQLGmizb4yjUAosowcOVIF3V555ZUyYBCfBD0XdroSbjOHDx9eGus999yjhg4dqi655BL1+eefK8Q4znlgbtgWLFhQGjYCdqed1zHOXbJkSelc7piJQGiywLH16tWzNuw7F8DZZ59t1eGpmT2NGjXKWlCNGzeuOFfaOeuss6y6G2+80X6q5z4WLra406OPPqowBpnnc889p1544QUrXkNfqBccDj74YAVCocw+Fjz1EmzQDuYvx8hBSLRx8sknq6222ooBftxOTKC9UGRB/4sWLbIW0S677FK2OGRsv/32m+V82DnTM888Y5174oknup67Zs0adeSRR6rHHnvMeWrFMR7v9uzZU5166qlq4MCB1rgqjDYWPPXUU8qpdF62Uv7ss89aY23Xrl2JJFKHfMCAAVY9nt55JahUnz59KuzWrl1bOgVE3G+//VzxKBlxxwgEQpPlgQcesJwPBcFicCZcXdu2bet6pcTCwlW2V69eZadJO8hbtmypPv3007J65wHqDzjgAOtq/dBDD6mOHTuqQw891HoH5LTFMeoXL17sVuVZduutt1pjBSGdCXM844wzrPpvvvnGWV06hl3r1q0r7KA6kkCco48+mmQRQAzOQ5EFixn37ljwEyZMKE0LiwKLC/XYRz1ye0Jdp06drDq8W5CEe3vY28/1e0GHdnElfvLJJ6UJ69znn39e7bPPPtY7C3vfWIwtWrSoGE/pZJcdjAUkwbhwe+VMGF+rVq3Urrvu6tsuSI029txzz7KLx+jRo0vHGCsuLuiTyWwEQpFFFioWAN5uS8L9OF5YSnK75Vm1apVq1KiRtXh+/PFHMbXUAYtFktu5UoccCxX2dkJIPW7NcJU+4YQT1Pjx4y0CN2vWzHoJKDZBcrQNIoAQIJsQGTk2xGPAAOT3W+R33XWXZQclFTuM/5hjjimRBePBgwMm8xEIRRa5UuLKjkUtQSwWlZ08btN++OGHrYVzyCGHWDEG7vnlVuaWW25xO8W1DAu5b9++rnUoRD0C6M6dO6sLL7xQTZs2zZVYng0oZQXzIAPiMgTi48aNswg3bNgwa+wSh+ATB14J4xAVlsC+R48e6qSTTlK777576DF59cPy9BAIRRa5UsLpWERdunSxruJbbLGFdQX2GzZssQBxC/Lyyy9bZJMnSvhsVNwJV3Is2CgJH8HBWKFOuChgkzG/8cYb1m0V6j/44APP5tE3Liqwe/zxx9WLL75obTvuuKO69NJLI4/Ns0NWJI5AYLJg8cmVEkG1JCyiAw880Nf5OHePPfawFo79lgMfmtxrr71KtyirV6+2rurStlf+0ksvWYsXfQfdghIHYz3ssMOsseJDns60dOlSq2677bbznbOoMB5E2Pvu37+/Gjt2rNUs+oLqfPjhh85ueGwgAoHJYr9S/vTTT6WpYOHiw4F+CZ9SxhV23333LVs4iDGwWJCwcC677DI1a9Ysv6asOjyJwzuZMNvChQurtguDX375xRrr/vvvXzZWORkLG3PBLSTG7JVEhbt3715mhw9p4vE6El5ENm3aVCGeYzIfgcBkkSsl4hPn0yq/RQMI8OQKCwxksF9l7fDgY+uIZ7zq7bZJ7j/44IPWWLt161a2yKXP2267zaqv9n5FVBjteSXchuLTzUzZQCAwWeRKedFFF7kuIr/pTpw40Vpg+Ci8WwL5cH8vKuNmk1YZ5gdi33///RVd4qIgn1Co9n5F4hW7CtsbxKNuxC9QMqZsIFCVLLjSv/nmm9abciwi3Eb88MMPFeriNl2QAN9NwS0NzkWQK+fikSwCZ3ysBIumYcOG6uuvv3ZrpqJMni6Fyf0UCyTAWPEJAjyWxlhxe4kxIqF+2bJlVnyEOmwI9J1twg5x2COPPGLZSDtoF+3jdhQkvPzyy616PEjAOUzZQMCXLLinxuK57rrrrLxNmzbqvPPOs66uuML6JSwOLBa8WUcb2BDsNmnSpLSQjjjiiFIdHscGXThYjPbt6aefVtU258K2jx11GKuM88wzz1TnnHOOtaEODxEQ0KPejgFs7Am3VStXriy1g/nhEwloG5u0If1Ue9xub5v7+hHwJQuGhwWMhY8cC8eeVxs+bJ2btOEsx7HuhLE55ypjwvhQL+OXXOqRy5ykzutYyu3nct98BKqSxfwpcIREIB0ESJZ0cGYvOUCAZMmBEzmFdBAgWdLBmb3kAAGSJQdO5BTSQYBkSQdn9pIDBEiWHDiRU0gHAZIlHZzZSw4QIFly4EROIR0ESJZ0cDayF3wdAp/dc27Lly83cry6B0Wy6PaAxv7tn9OTz68hZ3JHgMi445L70jlz5lgf7nzttddyP9e4JkiyxIWkQe3gKxVPPPGE72+lTZ8+3SKLQcM2figki/EuCjdA/IKm3FLVr19f4Vd13BK+S4MfAGQKjgDJEhwr4y3x50tCFMmbN2/uOm58p+aoo44qC+6D/P6Ba2MFKSRZcuToDh06VJAFpPnyyy8rZilksuft27evsGNBLQIkSy0Wmd/DjwDaFz/23X7TDUE96qgk4VxOsoTDy2jr33//vexr2yDEkCFDKsYsP9BeUcECXwRIFl94slWJX5IBQfbee+/Sj2LgJ5mcCb8OipiFKRwCJEs4vIy2lp9xkncnCOBBHufPLeEpGJ6GMYVDgGQJh5ex1vhnAhADBJEksYldXfBRFtjhxxJhKxuDe0HNOydZvLHJVI1TVWTwTnXBm3v8RYhzw0tKJn8ESBZ/fDJR66YqMnBRF/xyP1PdECBZ6oafEWfjf2hwayWxinNQoi5z5851VvE4BAIkSwiwTDTFz+E6YxXnOKkuTkSiHZMs0XAz5qxqqiIDpboIEtFzkiU6dtrPDKIqMkhRF/ztB1M0BEiWaLgZcdYFF1zgG6s4BynqMm/ePGcVjwMgQLIEAMlEE/k3NRAgaBJ1wV9eMIVHgGQJj5kRZ5x//vmhVEUGLery66+/ShHzgAiQLAGBMskM/+5c7QmY13ipLl7IVC8nWapjZJxFVFWRiVBdBIlwOckSDi/t1nVRFRm8qEvXrl2liHkABEiWACCZZIK/KfR7Wx90rKIu8jfjQc8rsh3JkiHvf/vtt5FjFec0qS5ORKofkyzVMTLGIi5VkQlRXQSJYDnJEgwn7VZxqopMRtSlW7duUsTcBwGSxQcck6rOPffcWGIV55xEXebPn++s4rEDAZLFAYiJh998801ssYpzfqIu3bt3d1bx2IEAyeIAxMTDzp07J6IqMldRlwULFkgRcxcESBYXUEwq+vrrrxNTFZkn1UWQ8M9JFn98tNcmrSoyQaqLIOGdkyze2GivSUNVZJKiLj169JAi5g4ESBYHICYddurUKdFYxTlXUZeFCxc6q3islCJZDF0GX331VeKxinPqVBcnIuXHJEs5HsYcpa0qMnGqiyBRmZMslZhoL9GhKjJpUZcrrrhCiphvRIBkMXApdOzYMdVYxQmBqAt+lZ+pFgGSpRYLI/bwx0NRvwUZ1wREXXr27BlXk7loh2QxzI3nnHOOVlUROERdFi1aJEWFz0kWg5bAF198oV1VBA6qiyBRm5MstVho3zNFVQQIqosg8V9OspTjoe3IJFUREERdevXqJUWFzkkWQ9x/9tlnGxGrOOEQdVm8eLGzqnDHJIsBLv/888+NiVWccFBdahEhWWqx0LZ31llnGakqAgjV5T8kSBZZEZpyk1VFIBF16d27txQVMidZNLvddFUReERdlixZIkWFy0kWjS7/7LPPjI1VnLCIulx55ZXOqsIckywaXX3mmWcaHas4oRF1Wbp0qbOqEMckiyY3f/rpp5lRFYGo6OpCsshKSDnPmqoIPEVWF5JFVkGKeRZVReARdenTp48UFSYnWTS4+owzzshUrOKESNRl2bJlzqpcH5MsCbh3woQJasOGDa4tz549O3OxinMioi41NTXOqtLxzJkzVd6+PEaylNwbz87y5cvVlltuqVq0aKHGjx+v1q9fX9Zwhw4dMq0qMhkvdQFJTjvtNGuOV199tZjnIidZEnDjW2+9peRlY/PmzUukyYOqCFxOdcGxkKRly5Zq8uTJYpqbnGRJ0JVvv/12GWkOOOCAXKiKQCbqcuKJJ1rz2m233dSUKVOkOnc5yZKCS0Ga4447zlpQDRo0UOPGjau4PUthGLF2ASU5/PDDrTltvfXWuSaJAEeyCBIJ5+3bt7cWVps2bax8p512yiRp7LdbUJI999zTms+KFSsSRlB/8yRLCj745JNPrAWF2xakd955R8mXvYQ069atS2Ek0btwkkRut1COX6Pp27dv9MYzcibJkoKjRFWwsOzJThqTFxseAdevX1+1atVKTZ061T4Fa19il7yrC8lS4fp4C5yq4tY6SDN37ly3KmPK3EgigxN1ueqqq6QolznJkrBbTz/9dOs2xakqCXebevOiLn/88UfqfafVIcmSINIff/xxWaySYFfamxZ16devn/axJDUAkiUpZJUqvaTLu6oIhHlXF5JFPB1zXiRVEejyri4ki3g65lw++lEUVRH4RF1WrlwpRbnJSZYEXPnRRx8VJlZxwifq0r9/f2dV5o9JlgRceOqppxbiCZgXdKIuq1at8jLJZDnJErPbPvzww8KqikCZV3UhWcTDMeVFVxWBMY/qQrKId2PIqSq1IIq6DBgwoLYw43skS4wOPOWUUwodqzihFHX5888/nVWZPCZZYnLbBx98UPhYxQmlqMvAgQOdVZk8JllictvJJ59MVXHBMk/qQrK4ODhsEVXFG7E8qQvJ4u3nwDVUFX+oRF1Wr17tb2h4LclSRwe9//77jFWqYCjqMmjQoCqWZleTLHX0z0knncRYJQCGoi5//fVXAGszTUiWOvjlvffeo6oExC8P6kKyBHS2mxlVxQ0V77KsqwvJ4u1b3xqqii88rpWiLln9WVeSxdWt1QvlVxixAJiCIyDq8vfffwc/yRBLkiWCI959913GKhFwwymiLoMHD47Ygr7TSJYI2Ldr145PwCLgJqdkVV1IFvFgwJyqEhAoH7OsqgvJ4uNUtyqqihsq4ctEXf7555/wJ2s6g2QJATx+ORK/6wtHM9UNAVGXIUOG1K2hFM8mWUKAfcIJJzBWCYFXNVNRl3///beaqRH1JEtAN+A/VqgqAcEKaJY1dSFZAjqWqhIQqJBmWVIXkiWAc6kqAUCKaCLqMnTo0IgtpHdarsgyadIk66WXEz78g/Do0aPVnDlznFWBjo8//njGKoGQimYk6rJmzZpoDdjOmj59uuVr+Nu+RfW9rWmVK7IgppgxY4Z9fta+XL1AmrAJ/zzMWCUsauHsxT/Dhg0Ld6KLNf66D1vbtm3LNpLFBpYA7gbKqFGjLABt5oF35Y9T0T5TcgjEoS64GHpdMOMYeW6UBYRo0qSJKya4yuCv6sImqkpYxKLby8WuLuoibbhdMKOPrPbM3JAFZAAp3BJIhHgmbKKqhEWsbvaiLmvXro3UkN8FM1KDjpNyQxbcp1588cVq5syZZdtTTz0VKTh/8803Gas4FkvSh6IMw4cPj9QVLphR7iCCdpYLssi9Ku5XvbaggIjdscceG4lkcj7zaAiIukT5q3PcQeAfldGGbDU1NdEG4nJWLsiCJ2AgidvTLoDVunVrl6l7F73xxhtUFW94Eq2Jqi6IU7AGunTponA7Jpvb09GoE8gFWQAMbsPcEuIYABgmUVXCoBW/bRR18btgxjXCXJDFjxC42uBFVdBEVQmKVHJ2oi4jRowI3InfBTNwI1UMc0EWr6dds2bNsqQZedB0zDHHWOfAYUz6EBB1Wb9+faBB+F0wAzUQwCjzZBFCuC1uKAqUJWh6/fXXLXs4ikkvAqIuI0eODDQQ+DnK64FAjW80Cr6SwrSaoi0CO0iwWwLgYW7Bjj76aKqKG5CayoKqCx7sYA0k9TJSpp95sshE6ppTVeqKYPznh1WX+EdQ3iLJshEPqkr5wjDlSNRlw4YN2odUaLLgI+HTpk2z3vzjnpexivb1WDEAURf8BeG1116r8DsIulJhybJs2TK1//77WzEKiILtkksu0eUH9uuBwM8//6waNmxY5qeJEyd6WCdbXFiyjBkzpswBQpgHH3xQPfbYY9wMwUD+Kl38g7xp06bJssKj9cKSpVOnTq5ksTuF+96ftdONzY8//uixpJMrLixZpkyZUkEWXLF++OEHbgZh0Ldv3wo/7bHHHskxwqflwpIFmHTo0KHMEVn6wTcfn+aqCm/wt9lmm5KfGjdurJ588kktcyw0WYA4/hMST8RwW8GnYVrWoG+n8jQMv/7yzDPPqJUrV/raJ1lZeLIIuHgSBsLAOUzmIIALmNcnytMeJcmyEfFffvmF6pL26qvSn6jKfffdV8UynWqSxYYz1cUGhgG7UJWWLVsaMJL/hkCy2FxBdbGBoXlXVOXee+/VPJLa7kmWWiysvUsvvZSxiwMTHYemqQowIFkcK2Hu3LmMXRyYpH1ooqqQLB6r4LLLLqO6eGCTRjFUZdddd02jq1B9UFlc4KK6uICSUpGoyj333JNSj8G7IVk8sKK6eACTcDFUZZdddkm4l2jNkyweuM2bN4+xiwc2SRWbrCqYM8ni4/nLL7+csYsPPnFXmawqJEsVb//6669UlyoYxVUtqoLP6ZmaqCxVPEN1qQJQTNVQlZ133jmm1pJphmSpgivVpQpAMVSLqtx9990xtJZcEyRLAGy7du3K2CUATlFNsqAqmBvJEsDDv/32G2OXADhFMcmKqpAsIbzbrVs3qksIvIKaQlVatGgR1FyrHZUlIPxUl4BAhTATVbnrrrtCnKXPlGQJgT3VJQRYAUyhKs2bNw9gaYYJyRLCD/Pnz2fsEgIvP1NRlTvvvNPPzKg6kiWkO7p3787YJSRmbuZZUxXMgWRx86RP2YIFC6guPvgEqcqiqmBeJEsQ7zpsqC4OQEIeQlV22mmnkGfpNydZIviA6hIBtI2niKrccccd0RvRdCbJEhH4Hj16MHaJgB1UZccdd4xwpv5TSJaIPli4cCFjl5DYZVlVMFWSJaTD7eZXXHEF1cUOSJX9LKsKpkayVHGwXzXVxQ+d8jpRldtvv728IkNHJEsdnUV1CQYgVGWHHXYIZmyoFclSR8f8/vvvjF2qYCiqctttt1WxNLuaZInBPz179mTs4oNjHlQF0yNZfJwctGrRokVUFw+w8qIqJIuHg6MUU13cUYOqbL/99u6VGSulssTkMKpLJZCiKrfeemtlZQZLSJYYndarVy/GLjY8oSrbbbedrSTbuyRLjP5bvHgxY5eNeOZNVTAtkiVGsqCp3r17U12Usv7MNk+qQrLETBQ0R3VR1p/Y4s9sb7nllgQQ1tcklSUB7IuuLohVtt122wSQ1dskyZIA/kuWLCls7CKxytSpUxNAVm+TJEtC+F955ZWFjF3yqipYJiRLQmRZunRp4dQlz6pCsiREFGm2aOoCVWnWrJlMP3c5lSVBlxZJXURVpkyZkiCiepsmWRLGv0+fPoWIXaAq22yzTcJo6m2eZEkY/2XLluU+dimCqmCZkCwJkwXN19TU5FpdiqAqJEsKREEXeVYXUZXJkyenhKa+bqgsKWGfV3WBqjRt2jQlFPV2Q7KkhP/y5ctzF7uIqkyaNCklFPV2Q7KkiH/fvn1zFbsUSVWwTEiWFMmyYsWK3KhL0VSFZEmRKNLVVVddlQt1gao0adJEplWInMqSspvzoC6iKhMnTkwZPb3dkSwa8M+6ukBVtt56aw3I6e2SZNGA/x9//JHZ2KWoqoJlQrJoIAu67NevXyZjl6KqCsmiiSjoNovqIqpy8803a0ROX9dUFn3YZ05doCpbbbWVRsT0dk2yaMR/5cqVmYldRFUmTJigETG9XZMsevFX/fv3z0TsUnRVwTIhWTSTZdWqVcarC1Xlv0VCsmgmC7ofMGCA0eoCVWncuLEBSOkdAsmiF3+rd5PVRVRl/PjxBiCldwgki178S72bqi5QlS233LI0ziLvkCyGeP/PP/80LnahqpQvDpKlHA+tRwMHDjQqdqGqlC8HkqUcD61HJqmLqMq4ceO0YmJS5ySLSd5QSpmiLlCVRo0aGYaO3uGQLHrxr+h99erV2mMXUZWbbrqpYnxFLiBZDPT+oEGDtMYuVBX3RUGyuOOitfSvv/7Spi5UFW/Xkyze2Gitufrqq7WoC1Rliy220Dp3UzsnWQz1jA51EVUZO3asoajoHRbJohd/397TVheoSsOGDX3HVORKksVg7//999+pxS5UleoLgWSpjpFWi8GDB6cSu1BVqruZZKmOkVaLNNRFVOXGG2/UOlfTOydZTPeQUippdYGqbL755hlAQu8QSRa9+Afq/Z9//kksdhFVueGGGwKNpchGJEtGvD9kyJBEYheqSvAFQLIEx0qr5b///hu7ulBVwrmUZAmHl1broUOHxqouUJUGDRponVOWOidZMuStONVFVOX666/PEAJ6h0qy6MU/dO9xqQtUZbPNNgvdf5FPIFky5v01a9bUOXahqkRzOskSDTetZw0bNqxOsQtVJZr7SJZouGk9qy7qIqpy3XXXaZ1DFjsnWbLoNaVUVHWBqtSvXz+js9Y7bJJFL/6Re1+7dm3o2EVU5dprr43cb5FPJFky7P3hw4eHil2gKptuummGZ6x36CSLXvzr1Pu6desCqwtVpU5QWyeTLHXHUGsLI0aMCKQuVJW6u4lkqTuGWlsIoi6iKtdcc43WsWa9c5Il6x5USlVTF6jK//73vxzMVO8USBa9+MfS+/r16z1jF6pKLBBbjZAs8WGptaWRI0e6xi5BVGX69OkKdrJdfPHF6v7779c6HxM7J1lM9EqEMbmpi6jKmDFjXFucNWuWatWqlWrSpImqqalRo0aNsrb27durtm3bup5T5EKSJUfed6oLlGKTTTZxneHy5ctV06ZNVevWrRX2maojQLJUxygzFhs2bLBuxXbeeWdLGerVq6dGjx7tOn6ox2677UaiuKLjXkiyuOOSyVLcVuGpF0giW+/evSvmMmfOHKsesQpTcARIluBYGW/Zp0+fEkmELMidt1mTJk2y7Jzlxk9Q8wBJFs0OiLP7jh07upLl+++/L+umS5cuVqxiLxQCCclmzJhhr+a+UopkydEymDZtWgVZEMA7E550OZ924dYMT8+ENFQdJ2okSyUiGS+x34qBKO+++27FjBDcH3TQQRXlKMDjYwT+TJUIUFkqMcl8yYoVK5Tz1ss+KRACt1tQE2eC4oBMTJUIkCyVmOS+BLdYeBEJdbETBuV494JbMaZKBEiWSkwKUYLHzLhNg8KAIBLYg0SoY6pEgGSpxKRQJSAGAntsJIm/60kWf3xYSwRKCJAsJSi4QwT8ESBZ/PFhLREoIUCylKDgDhHwR4Bk8ceHtUSghADJUoKCO0TAH4H/A9oYoEfvCxiRAAAAAElFTkSuQmCC[/img][br]Select [b]all[/b] the statements that are a result of corresponding parts of congruent triangles being congruent.
Reflect right triangle ABC across line BC.
[img]data:image/png;base64,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[/img][br]Classify triangle [math]ACA'[/math] according to its side lengths. Explain how you know.[br]
Triangles FAD and DCE are translations of triangle ABC
[img]data:image/png;base64,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[/img][br]Select [b]all[/b] the statements that [i]must[/i] be true.
Triangle ABC is congruent to triangles BAD and CEA.
Explain why points [math]D,A,[/math] and [math]E[/math] are collinear.
Explain why line [math]DE[/math] is parallel to line [math]BC[/math].[br]
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[/img][br]Identify a figure that is the result of a rigid transformation of quadrilateral [math]ABCD[/math].
Describe a rigid transformation that would take [math]ABCD[/math] to that figure.[br]