IM Geo.2.3 Lesson: Congruent Triangles, Part 1
If triangle ABC is congruent to triangle A'B'C'...
What must be true?[br]
What could possibly be true?[br]
What definitely can’t be true?[br]
Player 1: You are the transformer. Take the transformer card.[br][br]Player 2: Select a triangle card. Do not show it to anyone. Study the diagram to figure out which sides and which angles correspond. Tell Player 1 what you have figured out.[br][br]Player 1: Take notes about what they tell you so that you know which parts of their triangles correspond. Think of a sequence of rigid motions you could tell your partner to get them to take one of their triangles onto the other. Be specific in your language. The notes on your card can help with this.[br][br]Player 2: Listen to the instructions from the transformer. Use tracing paper to follow their instructions. Draw the image after each step. Let them know when they have lined up 1, 2, or all 3 vertices on your triangles.
Player 2 use the applet to sketch the transformations while Player 1 is giving instructions.
Replay invisible triangles, but with a twist. This time, the transformer can only use reflections—the last 2 sentence frames on the transformer card. You may wish to include an additional sentence frame: Reflect _____ across the angle bisector of angle _____.
Noah and Priya were playing Invisible Triangles. For card 3, Priya told Noah that in triangles ABC and DEF:
[table][tr][td][list][*][math]\overline{AB}\cong\overline{DE}[/math][/*][*][math]\overline{AC}\cong\overline{DF}[/math][/*][*][math]\overline{BC}\cong\overline{EF}[/math][/*][*][math]\angle A\cong\angle D[/math][/*][*][math]\angle B\cong\angle E[/math][/*][*][math]\angle C\cong\angle F[/math][/*][/list][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br]Here are the steps Noah had to tell Priya to do before all 3 vertices coincided:[br][list][*]Translate triangle [math]ABC[/math] by the directed line segment from [math]A[/math] to [math]D[/math].[/*][*]Rotate the image, triangle [math]A'B'C'[/math], using D as the center, so that rays [math]A'B'[/math] and [math]DE[/math] line up.[/*][*]Reflect the image, triangle [math]A''B''C''[/math], across line [math]DE[/math].[/*][/list][br]After those steps, the triangles were lined up perfectly. Now Noah and Priya are working on explaining why their steps worked, and they need some help. Answer their questions.[br][br]First, we translate triangle [math]ABC[/math] by the directed line segment from [math]A[/math] to [math]D[/math]. Point [math]A'[/math] will coincide with [math]D[/math] because we defined our transformation that way. Then, rotate the image, triangle [math]A'B'C'[/math], by the angle [math]B'DE[/math], so that rays [math]A''B''[/math] and [math]DE[/math] line up.[br][br][br]We know that rays [math]A''B''[/math] and [math]DE[/math] line up because we said they had to, but why do points [math]B''[/math] and [math]E[/math] have to be in the exact same place?
Finally, reflect the image, triangle A''B''C'' across DE.
How do we know that now, the image of ray[math]A''C''[/math] and ray [math]DF[/math] will line up?[br]
How do we know that the image of point [math]C''[/math] and point [math]F[/math] will line up exactly?[br]
IM Geo.2.3 Practice: Congruent Triangles, Part 1
Triangle ABC is congruent to triangle EDF.
So, Kiran knows that there is a sequence of rigid motions that takes [math]ABC[/math] to [math]EDF[/math]. [br][img]data:image/png;base64,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[/img][br]Select [b]all[/b] true statements after the transformations:
A rotation by angle ACE using point C as the center takes triangle CBA onto triangle CDE.
Explain why the image of ray [math]CA[/math] lines up with ray [math]CE[/math].[br]
Explain why the image of [math]A[/math] coincides with [math]E[/math].[br]
Is triangle [math]CBA[/math] congruent to triangle [math]CDE[/math]? Explain your reasoning.[br]
The triangles are congruent.
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATAAAACqCAYAAAAqcRNiAAAb5ElEQVR4Ae2dB7QUtdvGpUjvSJOOBVG6KGABRCxI7yp4wEKTKsJRwUYXEJAuqIBUpYqAYKMISC8CgoAiRXoHpYiY7zz5f7nOnd29d3dndmcy8+Sce3Z3diaT/DL73OR9kzc3CSYSIAES0JTATZqWm8UmARIgAUEB40NAAiSgLQEKmLZNx4KTAAlQwPgMkAAJaEuAAqZt07HgJEACFDA+AyRAAtoSoIBp23QsOAmQAAWMzwAJkIC2BChg2jYdC04CJEAB4zNAAiSgLQEKmLZNx4KTAAloIWBbt24V7777rvj999/ZYiRAAiSQQEALAatataq46aabxPLlyxMKzjckQAIk4HoBmzRpkihcuLCAiA0fPpwtRgIkQAIJBFwvYBAvCBcE7J133kkoON+QAAmQgKsFDMIFAUNq2bKlqFevHluMBEiABBIIuFbAzp07J7JlyyYwhERC7wu9MCYSIAESUARcK2AQLNX7QmEhZBA0JhIgARJQBFwpYJguAbGC59H8pwrOVxIgARJwpYDB3oXhIqZNqD/0wCBmmBPGRAIkQAIg4DoBg0CFmvMV6jibkgRIwJ8EXCdg6HmFMtZnzZqVc8H8+Zyy1iQQlICrBAy2LzV0DFbaLl26JHglg33PYyRAAv4i4CoB8xd61pYESMAqAQqYVYK8ngRIwDECjgnY6tWrxa+//upYxXljEiAB/QnEXcC+/fZbkT9//oT5XS+99JL+FFkDEiABRwjEXcDKli2bIF5qkurMmTMdqTxvSgIkoDeBuArYqVOnAsQLIta5c2e9KbL0JEACjhCIq4ChhsWKFQsQsY8//tiRyvOmJEACehOIu4BNmzYtQMCmTJmiN0WWngRIIFkCWGVTrVq1gPMQeQbH58+fH/BdcgfiLmAo0MGDB6WIPffcc+LFF1+U79esWZNcWfk9CZCAxgQgVMGWAyLOX5kyZaKqmSMChpKiItio48KFC+KJJ56Qnsljx45FVQleRAIkoAcBCJUxsjJ6XdCCaIM0OC5gwL5z505xzz33iIcffliPVmApSYAEEhHAMsDmzZuLggULitq1a4tQIypjYFL0yIoUKZJI0BJlGsYHVwgYyrl06VKRJUsW0apVqzCKzVNIgATcRKBChQqyJ4XeFP5y5swpzp8/H1BEhMfC90hY2xzt0FFl7BoBQ4HgjUTl+vTpo8rHVxIgARcS+Ouvv8SuXbtkx6Nnz56JxEuJ2IwZM4KWHN+jJ4boMlb3enWVgKG2sIuhgtOnTw9aeR4kARKILYEbN26I/fv3y2CikydPFr1795bOtho1aog77rhDpE2bNqhgKeFSr/PmzQtaUEScwTl2bJPoOgFDjZVncu3atUEB8CAJkED0BI4ePSrw2/rss8/EoEGDxMsvvyxq1aolSpYsGTKUOwQH9q0HH3xQPPvss+KNN94QH374oXxNlSqVSJMmTSJRu/vuu0MWEL0vq0NHlbkrBUx5JgHsxIkTqqx8JQESSIbA2bNnpUfviy++ECNGjBDdunUTjRo1Evfdd5/Ily9fIpFRPSW85sqVS5QrV07Ur19f2qaGDRsm5s6dKzZt2iSwgsacJkyYIG6//XaZ32uvvSbQa4MwoZeGex45csR8ScJn9MBg/7IjuVLAUDHlmQwVndWOyjMPEtCJgNHuNH78eAHbEzx/VapUkStczL0gJVCwNZUoUUI8/vjjonXr1qJfv35i6tSp4ocffhAHDhyICME333wjRQp5N2jQQOzduzei63EyrlXbJUZ8sekC1woYyqk8ky+88IKp2PxIAt4iEMruhDmSmGIEEVKCZHxNly6duO2226SIQcwgahC3JUuWSCM7RM+OtG/fPil+uDfKs2jRoqiyVXteRDvvy3xTVwsYCqs8k/ivwUQCuhIw2506duwoh2uYfpA3b96g4pQyZUppd6pUqZJo2LCh6Nq1qzR8JzW0s5vP9evXRf/+/aVtDD08DC2tJEyjsHNU5XoBAyzlmWTYHSuPDq+NFQGz3alHjx7imWeekROzEbwg1NAud+7c0u6EiZ9t27ZNNLTDcjunE6ZBqPBXKF+weV1Ol1ELAQMk5Zlcv36908x4/2QIYIY1/sviv60x4TiMxNEs2jXmE8/3RrsTDNdvv/22gEkD9qSkhnbYmBnf47znn39e9OrVSw7tYBbZvXu3uHz5cjyrEdG94KGEfQvDxUceeURs2LAhouvjebI2Anbp0iW5ZrJw4cL0TMbzCYnyXligiw2KjQmihuNuSUa7E4zaAwcOFB06dEh2aJchQwY5Hwr1wZQC9Lg++OADgXlPmzdvFqdPn3ZLFSMqB9Yiv/LKK1K4EDUZkWPcnrQRMIBUnkn8V2ByNwH0stALUUktG0EvLF4Jdqd169aJOXPmSIHp3r17wtCuaNGi4uabbw6wPaVOnVoUKlRIVK5cWTRu3Fi6+wcPHix/zKtWrRKHDh2KV/Hjep+RI0eKAgUKSB5vvfVWXO9t5WZaCRgqqjyTjKVvpdnjcy08Z3CXQ8zwPpTnCfskPPXUU+LOO++UPaBwPGewO/30009i8eLFcmhmHNphEiXW1Rq9deo9DOb33nuvqFu3rmjXrp3o27evmDhxovj666/FL7/84uqhXSxabeHChdJWBz7NmjWLeFpFLMoUSZ7aCRgqpzyTAwYMiKSuPDfOBNDrghEYPbFQdi/sTJUiRYpEYoNZ4ZhftGzZMoFgl2poh+EnxCdPnjyJzlfilCNHDlGqVClpaoCdCj0JzBbHj3TLli3aDu1i0Ww7duwQiMcHdpjAivldOiYtBQyglWfy888/15G7L8qs5vwkNesabnklQEm9ZsyYUfbQYD5o0aKFwOxvzDTH8BBGZ68O7ex+UP7880/piMBQOXPmzGL06NF23yKu+WkrYKCkPJMbN26MKzTeLDwCWO+GoaPZmG+8etSoUUEFDAuI4cZfuXKl3D/0ypUrxsv4PgoCGM7fddddknenTp08MVzWWsBgK8FMZRhkjx8/HkWT8pJYEVBGe2XMD2W8h+cLQz9j7wtDGyb7CGA6S82aNSVj/F62bdtmX+YO56S1gIGd8kxiESmTOwgoo72K9aSM+aFKp3ph6LHBqM5kDwGsc0SkCfxzwITaWbNm2ZOxi3LRXsDAUnkm27Rp4yK0/iwK7F5moz2GkEnN/8ICY4RyYbKPwJAhQ2Q7QLy8/E/BEwKGZleeyffee8++p4A5RUQAw0R4Hc1Ge/TI8ENSPTJjpmfOnBFYUoNQLEzWCcyePVuGzgFvDMUxF87LyTMChkZSnkk0IlP8CcBIHKqnhVnrwaZSYA4Wfmxw6zNFTwBxu5o2bSpZVqxYUaxYsSL6zDS60lMCBu7wTGJeERqUyf0EIHjVq1d3f0FdWkIsW8KUEvwTQFBChNLxU/KcgMHdDk8LYiTRM+nuRxmLmhGOeOzYse4uqEtLN27cuITlP6+++qr4559/XFrS2BXLcwIGVPhhqEgAsUPHnK0SgL0SG0ScPHnSala+uh5OK0zoRa+rTp06MnChrwAYKutJAUP9lGcS692Y3EkAC6YRN4spPAJYq6kmb2O9J+Le+z15VsDQsMozCZcyk7sIIB47ehCILsqUNIFr167JqRBY/oMQ0thJiOl/BDwtYKii8kzyh+KuRx42G+w6xZQ0AcTkwoYcEHv0vnSNNZZ0LaP/1vMCBjRoeBiLuWYy+gfFzisRZx0bpCLGO1NwAqtXr5YhfyBcmILy448/Bj/R50d9IWDogsMziR8NPZPOP/GIIIEfJn6kTIkJYD9FTAQGH/RQ7dp+LPFdvPPJFwKG5tqzZ4/0TD755JPeaT1Na4IZ4ojrxZSYAMJSYxkWxAs7XzMlT8A3AgYUyjOJBa5MzhDA0pacOXPKIIXOlMB9d4U3ETtnQ7iwizaCPDKFR8BXAgYkyjM5dOjQ8AjxLFsJYPIlfqjR7Ohsa0FckBlCYmNTEPAoX768+Oqrr1xQKr2K4DsBQ/Moz2SwtXl6NZ9+pcUQHvHv/ZwuXLgg3nzzTSlcGDIOHz7czzgs1d2XAgZi8ExiVxp6Ji09PxFdjEB6WKf6ySefRHSdl07GCADGefS62rdvLy5evOil6sW9Lr4VMKwbg2eyePHiAlFBmWJPAGGi0eNAD8Rv6fvvv5eL1iFc2OyWwQbseQJ8K2DAt2/fPumZ9PuQxp5HKflcYKhu1apV8id66IzffvtNtG3bVva4MI1n+vTpHqqd81XxtYABP7aTwh6CHTt2dL41PFwC7P2I3seiRYs8XMv/qvbvv/8KLFbH8h9MombAxv/Y2PnO9wIGmMozSWOqnY9W4rzwDwIb1/ohYas/tfynefPm3PItho1OAft/uMozOW/evBji9mfW2IsQ8dkQeM/Laf369QnLfxBp47vvvvNydV1RNwqYoRngmUR8KnomDVBseAu7D4aPXuWKeGZYnI46YtfwMWPG2ECNWYRDgAJmoAS7BTyTiLVEz6QBjMW3zZo1Ew899JDFXNx5OcQqe/bsUrywOP3q1avuLKhHS0UBMzUsvEaI5lq7dm3TN/wYDQHsRIQf+LBhw6K53LXXLF68WNx///1SuOrWrSu2b9/u2rJ6uWAUsCCtC9sFPJOdO3cO8i0PRUIAC5ThhTt06FAkl7n23F27dgkY5jFcxF6W3AHL2aaigIXgrzyTI0aMCHEGD4dD4LHHHpMLlMM5183nYLMY5ejJkCGD6N+/v5uL65uyUcCSaGr1wNIzmQSkJL6CVw49Fd0nb3766acJy3/g6GFMuSQaPc5fUcCSAY4HNn369GLDhg3JnMmvzQR69uwp8uXLp61hG3H7sWclRBi7AK1cudJcRX52mAAFLIwGgGcS9g56JsOAZTgFQQuxYFm3dPjw4YTlP4ULFxYfffSRblXwTXkpYGE0NTxp8EzC28QUHgEsGULPBUuIdErvv/++jFKCsr/++usCU2uY3EuAAhZm2yxbtkx6JrkRRXjAsIC5TJky4Z3sgrNg58T8PwhX06ZNBfZgZHI/AQpYBG00ceJE+YCPHDkygqv8d+qZM2dE0aJFtVjAvHXrVlGvXj3ZrhUqVBALFizwX4NpXGMKWISNR89k8sCU0Lt5cue5c+dE9+7dpXDlyJFDYOjIpB8BClgUbQbPZMaMGemZDMGuSZMmAvO/3JrGjx+fsPynQ4cO4uzZs24tKsuVDAEKWDKAQn0Nz2Tp0qUFdtlh+o/A7t27RdasWV25oBmx39Tyn5o1a4q1a9f+V3C+05IABSzKZjt48KD0TNavXz/KHLx52aBBg0SmTJnEiRMnXFNBRN5Vy38QQhwTU5m8QYACZqEdMbERayYRSoXpfwQeffRR0aJFC1fgwL4HymaJDVwYFdUVzWJrIShgFnFOnjxZGoK5ZlIIzFzHNIQ5c+ZYpGr9cixfKlSokCwPdgLfv3+/9UyZg+sIUMBsaBL1X37u3Lk25KZvFoi4WqxYMUcrALsWeoEQUsQgW7JkiaPl4c1jS4ACZhNfeCYzZ87sW8/k9evXRbly5US3bt1sIhpZNlhg3a5dOylct956qxg9enRkGfBsLQlQwGxsNngmy5Yt60vPJIaN6PWsWrXKRqLhZWVc/gMBRQx+Jn8QoIDZ2M5YBIw1kw0bNrQxVz2yat26tahUqVJcC4tZ82r5D7zBmzdvjuv9eTPnCdgmYJMmTRLVqlVL9AcDd6iE/9awHXktoQcCz2SPHj28VrWQ9cFcOERtwD6I8Ug7d+5MWP6D9ZbYxozJnwRsE7CWLVvKxbvLly8XELMuXbrICY14DZa8KmCo65QpU+Rwyi+eyQkTJsj67tmzJ1hT23YMQ0O1/Af2xoEDB9qWNzPSk4BtAob/hOZ5NhCvIkWKBCXjZQFDhXv37i1/1H7wTDZq1CjmoYaw/AdrFvHcYLj6xx9/BH2ueNBfBGwRMCyMxYOF3pcxQcDMIVUuX74s2rRpI88vUKCAmDFjhvEST72HZzJbtmwCoZW9mrZt2yZn3mMBdywSwhhVrFhRPi+YHoHPTCSgCNgiYBAuCBiETCUcw493/vz56pB8RawlnGv88/KaNHgmy5cv71nPJIZxuXLlEufPn0/UzlY/HDhwQM7ox3OC0DzYZIWJBMwEbBEwDB2NgoT3VatWDeiR/fXXXwHn4dxevXqZy+WZzzBwwzPZuHFjz9TJWBHEiseQzs6kJgbj2UBc/b///tvO7JmXhwjYImAICIc/9LrwByM+IhIEM+CnS5cuQMQwNPBy6N41a9ZIzyQM0F5K2D8TIoPw0XYk4/Kfp59+WuzYscOObJmHhwnYImAQq+HDhyfChKEjHm7EkzcmTDTEcfWXNm1akTt3bpEiRQpp+PaqkE2bNk3WGRu9eiVhqgh6l1YTdnxSy38Q7oZRUa0S9c/1lgUMAgUxQs/LmPA5mIDhnLFjxwpMPEQwOUTtPHLkiJwThiUgKVOmlEJ248YNY3aeeN+vXz/JxAueSUxpgIPGyvAfoafV8p9bbrkl4J+gJxqdlYgpAcsCpnpa5lJiSImeWSTJLGR9+vQRXhMyeCYxHUB3z+SsWbOkGG/cuDGSJk44d+jQoSJNmjQyj06dOrkqflhCIfnG9QQsCxgM+JjrBcOr+sNniBc2TIgmGYUsVapUom/fvgKxnbyS4JnEBhKop64JQgwDfqTpyy+/lMNO9M5r1aolYB9kIoFoCVgWMBjq4XFUfxA02MOMUyqiLZxRyFKnTu0ZIUPkBNiOMKVExwSzAebwRbLSAKGmYTaAcJUoUUJMnTpVx6qzzC4jYFnA4lEfs5DBloTwLTonzH3DmkkdPZPjxo0T8CYjrHZy6dq1awnLf+CwgVmAiQTsIqCFgKnKGoUMIYL79++vtZBhFQJ6JLp5Jhs0aCCaNWummiXkq3H5T6tWrcTevXtDnssvSCAaAloJmKqgUchgCIaQ6TrZccCAAVLE3BCGWfFN6nXTpk0iQ4YMYubMmSFPMy7/qVKlili6dGnIc/kFCVghoKWAqQqbhQxioKOQYSY7phHo4JnEPwvEmr9y5YpqhoRXxEPDhh7oVcJGhukyTCQQSwJaC5gCYxQy2FkgZLC96JTgmcQkTtTFzQnOms6dOwcUUUXfgHhhgqsdTpyAm/AACZgIeELAVJ3MQoaFxroI2cmTJ6VnMhzbkqpvvF+xMSwEyhgRAnY8BDPEcYTVYVTUeLeKv+/nKQFTTWkUMnjLECn06tWr6mvXvmII6WbPJPa/xPw1JExgrVGjhhQubOYxe/Zs13JlwbxLwJMCpprLKGTp06eXQhbMdqPOd8MrwiOjN+MmzyR224ZIZcyYUUbVUMt/MFkZ3zGRgFMEPC1gCqpZyPCjc7OQoccIEXODZxLztlAW81/btm3FoUOHFGK+koAjBHwhYIqsUcgwFWDw4MECEWLdmCAQiNKxbt06R4tXvHjxAPGqXr26o2XizUlAEfCVgKlKG4UMwyK3Chk8k9iqDOV1Kqlty4w9sObNmztVHN6XBBIR8KWAKQJmIRsyZIhA1Fi3pNOnTzvumcRw2yheeG9XAEO3cGY59CXgawFTzWYUskyZMgk3CRm8ffBMwgPoVBozZowMOFi3bl3hhVhmTnHkfe0nQAEzMDULGbasd8M29ZiigJ6POeqtoeh8SwK+JEABC9LsRiHDBqoIvue0kMFOBxFzg2cyCDIeIgFHCFDAksBuFDIM4yBkly5dSuKK2H7Vvn17kTdv3rh6JhH7SwWqNL+aw4jHtvbMnQQCCVDAApkEHHGTkNWsWVM88MADcduZGiHDVbBK9aqWDkUbcTcAMA+QQJQEKGARgDMKGWaho0d28eLFCHKwfurZs2cd9UxikXbZsmVFy5YtrVeGOZCARQIUsCgAGoUMu4/D2B9PIduyZYtjnkls1oLdiBhtIooHh5fYToACZgFpMCG7cOGChRzDvxTTGeLtmcR+B+h5mvf6DL/UPJME7CVAAbOBp1HIsmfPLueRxUPI0PODiMUjEoTaPo+GexseGGZhGwEKmG0oRaINepWQnT9/3sY7BGaFzYGxIXAs10yix4WhMuehBfLnEWcJUMBiwN/YI8MmtpjDFUshw/6KsfJMKqM9bF9MJOA2AhSwGLaIUchy5swphSwWxm+IY6z2mYS3kUb7GD4kzNoSAQqYJXzhXWwWMiyQtlvItm3bJj2T3bp1C69QYZyFIaOVHdbDuAVPIQFLBChglvBFdrFRyLALEYQM87rsSsrQboetCsZ6OAi6du0qVqxYkeiPXki7Woz5WCVAAbNKMIrrjUKWK1cuGer6zJkzUeQUeMmwYcNs8Uxi1j0ELNgfhJKJBNxAgALmYCvESsiw7Rn2ZVy7dq2DteOtSSD2BChgsWec7B2MQoYw0tgODsEMraQ6derEzDNppVy8lgTsJEABs5OmxbzsFDJEzShZsqRo2rSpxVLxchJwLwEKmAvbxihkefLkkTuNnzp1KuKSbt++3XbPZMSF4AUkEEMCFLAYwrWatVHIEAesf//+IlIhW7BggTTEw7jPRAJeI0AB06BFgwnZyZMnwy45NsmN15rJsAvFE0nABgIUMBsgxisLo5Dly5dP9OvXT4QrZJjPVbBgQXom49VYvE9cCFDA4oLZ3psYhQwLuSFkJ06cSPYmWM9YuXJlcfjw4WTP5QkkoAMBCpgOrRSijGYh69u3b5JChj0vS5cuTc9kCJ48rB8BCph+bRZQYqOQ5c+fX0DIjh8/HnAeDuzcuZOeyaBkeFBHAhQwHVstRJmNQoaZ+H369AkqZAsXLqRnMgRDHtaLAAVMr/YKq7TBhOzYsWOJrh01apQUsVmzZiU6zg8koBMBCphOrRVhWc1C1rt3b2EUMoTeidYzqfaLxA5FmKKBiK3169cX3Gotwkbi6ZYIUMAs4dPjYqOQwUYGITt69KgsfIMGDSL2TEKkIFgIdDhp0iSB0Dv4Q/BDu+Oc6UGYpXSKAAXMKfIO3NcsZNhpG0JWrlw50aRJk7BKBIGCeHFfyLBw8aQYE6CAxRiwG7M3ChnmkUHIsmTJIooXLy4yZcokSpUqJXtWwcoO4cLO3OxpBaPDY/EmQAGLN3EX3c8oZOnSpZO2LGMAQ3M8MYgWvrcj4quLMLAoGhOggGnceHYV/eeffw4QLwgVNrI1JhVmmiGljVT43kkCFDAn6bvk3tevXxepU6cOEDFzTwuCBmFjIgG3EODT6JaWcLgc3bt3TyRg8FaaQ/dQwBxuJN4+gAAFLACJfw9gSkSLFi1Ez549xcGDBwNA4Hv0wGjAD0DDAw4RoIA5BF7H28L2hX0iEZqHiQTcQIAC5oZW0KgMsIuhF1atWjU5/QJTMDgDX6MG9FhRKWAea9B4VAfeyC5dugjsHYk/2MY4rIwHed7DTIACZibCzyRAAtoQoIBp01QsKAmQgJkABcxMhJ9JgAS0IUAB06apWFASIAEzAQqYmQg/kwAJaEOAAqZNU7GgJEACZgIUMDMRfiYBEtCGAAVMm6ZiQUmABMwEKGBmIvxMAiSgDQEKmDZNxYKSAAmYCVDAzET4mQRIQBsCFDBtmooFJQESMBP4P2dcpH2k+9nqAAAAAElFTkSuQmCC[/img][br] Which sequence of rigid motions will take triangle[math]XYZ[/math] onto triangle [math]BCA[/math]?
Triangle HEF is the image of triangle FGH after a 180 degree rotation around point K.
[img]data:image/png;base64,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[/img][br]Select [b]all[/b] statements that must be true.
Line SD is a line of symmetry for figure ASMHZDPX.
[size=150]Tyler says that [math]ASDPX[/math] is congruent to [math]SMDZH[/math] because sides [math]AS[/math] and [math]MS[/math] are corresponding.[/size][br][br]Why is Tyler's congruence statement incorrect?[br]
Write a correct congruence statement for the pentagons.[br]
Triangle ABC is congruent to triangle DEF.
[img]data:image/png;base64,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[/img][br]Select [b]all[/b] the statements that are a result of corresponding parts of congruent triangles being congruent.
When triangle ABC is reflected across line AB, the image is triangle ABD.
[img]data:image/png;base64,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[/img][br][br]Why is angle [math]ACD[/math] congruent to angle [math]ADB[/math]?
Line DE is parallel to line BC.
What is the measure of angle [math]EAC[/math]?[br]
What is the measure of angle[math]DAB[/math]?[br]