IM Geo.1.17 Lesson: Working with Rigid Transformations

Segment CD is the perpendicular bisector of segment AB.
[size=150]Find each transformation mentally.[/size][br][img]data:image/png;base64,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[/img][br]A transformation that takes [math]A[/math] to [math]B[/math].
A transformation that takes [math]B[/math] to [math]A[/math].
A transformation that takes [math]C[/math] to [math]D[/math].
A transformation that takes [math]D[/math] to [math]C[/math].
Sort the cards into categories of your choosing. Be prepared to explain the meaning of your categories.
Then sort the cards into categories in a different way. Be prepared to explain the meaning of your new categories.
For each card with a rigid transformation: write a sequence of rotations, translations, and reflections to get from the original figure to the image. Be precise.
[size=150]Diego observes that although it was often easier to use a sequence of reflections, rotations, and translations to describe the rigid transformations in the cards, each of them could be done with just a single reflection, rotation, or translation. However, Priya draws her own card, shown, which she claims can not be done as a single reflection, rotation, or translation.[/size][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAV0AAAB/CAYAAABMmxE+AAASVElEQVR4Ae2dX2gdVR7Hp6nRNjdpgsbWVthUC1ZrpaltahWbBARp3cVkV9CihP5BbOt2TbAvfRAbyr5Yawtd90WRFoviimyzWF9UqLBbqFoNPlUQbX3wQQpWEKUv9rd85+bcO3/O3EzunX9nzndgmDtn5p4/33Pmc7/3N/8c4UQFqAAVoAKZKeBkVhILogJUgApQASF0OQioABWgAhkqQOhmKDaLogJUgAoQuhwDVIAKUIEMFSB0MxSbRVEBKkAFCF2OASpABahAhgoQuhmKzaKoABWgAoQuxwAVoAJUIEMFCN0MxWZRVIAKUAFCl2OAClABKpChAoRuhmKzKCpABagAocsxQAWoABXIUAFCN0OxWRQVoAJUgNDlGKACVIAKzChw5coV2b59e6p6ELqpyqvP/MyZM3Lx4kX9RqZSASqQqgI4/gDW4eFhdx4dHRWkYTp+/Lj09fWlWj6hm6q84czRuY7jyMjISHgjU6gAFUhVgW3btrnH39DQkBw4cMCdkYbPmHBcqs9pVYTQTUvZiHzxK4oZnc6JClCB7BQYHx+X7u7umqvVlYztCDGkORG6aaobyBt/XdCpR48elZ6ensBWrlIBKpCWAuof5qlTpyKLwDa43rQnQjdthWfyx68nQIu/LmoAZFQ0i6EC1iuAsMGaNWsa6gAnnMW5FkK3YTcktxGwVQH66elpN66EJScqQAXSVQCGB+dR8A+z0ZTV8UjoNuqFhLYpl4vwgpowCNQZU5XGJRWgAskroP5ZFuV4I3ST7+NQjuqM6eTkpKg5zi9vKCMmUAEqMGcFCN05S2b2FxAjAmBxtYJ3xgm1tC9NMVs51p4KJKMAoZuMjsbkggC+7vIwBWBjGsKKUgFDFVDGpygmh+GFFAdSo19YDAAdjFOsDrOmAtYqgBAfrh7ynlfBuZasTp55hSd0vWok/LmRmwV0EXbgRAWoQPoKALD414ljzjvnYXx41KfU3+hkgDXqlxR/eYrydyclCZgtFSicAjju8A8Uc9SxmXalCd20FWb+VIAKUAGPAoSuRwx+pAJzUQCuiRMVmKsChO5cFWty/0uXLsmLL74oTz/9tLz99ttN5sKvZaUA/n5+8skn7oxQUXDC3U15xAOD9eC6yLFjx2RsbEyOHDki165dK7wkhG4GXfTtt99Kb2+vL4C/b9++DEpmEc0ooK468Z5wwZlv722kuI+fMflm1E32Ow8//LDvuBocHEy2gBRyI3RTEDWY5f79+30DQx3MP//8c3BXrhdAAcAVfaQmOF08DAVpOPmC9SweAajK51KvwIcffqg9rqampvRfKEhqfWQVpEJlrMZTTz1VHRxtbb5BcuHChTI21/g24ZpOXegA0IW7xbWeWTwC0HghE2zAd999J6dPn5ZDhw65b31YP7Beblhwve94Umbm1VdfTbDk5LMidJPXNJRj7S/Q3Q+IU+l2B8odd9wR2o8JxVAAoQM4W+8Eh4uDGqEHAJcn0bzqJPdZB9eOSocPrl23dsjNG7pk+WO9cvfErbLg5nbf9q+++iq5CqWQE6GbgqgqSzjZTYOD1QGxZac4/zwnzuhed73ov8aqDbYtEToAXNXDrgFX/F3t7++vudsgkG3TKIn2auHa2RiuG165XYb/dac8NLWqNq/ctbQG3Pb2djl8+HAS1Us1D0I3JXnfeustWVipyHXdN4mz61AVuIDuP866aY8//nhKJTPbVhSIcxKtlfxt+24IrhvWSyUI12V+5zqggasXtN7PnUs7ZPPmzfL555/Lr7/+aoS8hG4K3fT8889Xf30RTvj7f+rABXRdt/tXd/u5c+dSKJ1ZtqIAYrbqYfPIB2EFOFtcvZDXHUyttCer7+IfwQcffFCPuTaAa99jvbJq4lYZOBx2rl6gzvZZudyPP/44q2YmUg6hm4iM1Uy+/vpr2TQ4VAWuCico0HqXdLsJqp5sVrg/H3NwQpyXJ8/EjWUDri+//LLs2LFDBiLg2ruhS5KCaxR8O5culEceeSTYVYVfJ3QT6iJfOOEZTzjBC1vv51G63YSkTzSbqOcc606uJVpwwTJTztUP10otfoq4d9eyDvHD9bZQzDUKmK2mm+py0c2EbgKDfdZwghe26vOM233iiScSqAGzSEIBgEZdoeDNDyfVvCfXvNtM/xyG64BUOhvAdRxhgezgGgVnU10uxguh28JREzucoEAbXM643U8//bSFWvCrSSmg4DoxMVF7rdLo6KgLXNNDC6bCVQddk10uxiqh2+QR6w8nvBQ+WRYErG6dbrdJ9dP5Gm56UM9AxhKgxYk1XNFgyhQbrgNd0veXXllVEOeqg2tUWucyM2O5agwRukqJOSybCifooIs0ut05KM9dlQJauHZpwgIGw1UHXdNdLvqP0FWjOMbSH07Y0Zy7DcLXdbs3CmO7MTrAwl1CcL1vQCoWwFUHXKSZ7nIxhAndmAdyPZxwozjPNBlOCAJXrdPtxuwFM3b78ccf3bvYzp8/H7vCQbhuuG9AOi2Gqw66ZXC5GBCEbozDoh5OuF9/s4OCZ7NLut0YvWDGLq+//rrvsqqtW7f6Ku6F686dO2XDfRtCcMVdVr21sMCyQlwtoINg1mldhsdy1UAgdJUSmiXCCYO1mx0SCidEgZluV9MDZiVdvXpVKhV/XBWXmm3atEkL1y7CtfYMhdkAXhaXixFN6EYc19VwQqdc151COEEHXrrdiJ4wJ/ns2bM1l9t2ff0xnh1LbqBz9TykZjbA6raXxeUSuhHHc+rhBB10kUa3G9EjZiRfvny5Bl04XMw33NQuayf/ENvR6YBje1qZXC6hGziW3XDC0MyzEzanHE7QgZduN9Aj5q2+8MILPvCqKw1WjC0meJt0u7jd2MRnLESNXoYXZpTJPJyggy7dbtQ4NSodN1McPHhQTpw44dZ7z549LogX379IBk+uJHznAN+yuVwMCEJXRHILJ+jAS7drFGDjVhZXNbS1tUnnLQsZbpgDdMvmcq2Hbu7hBB106Xbjcsy4/b788ktZt36d63oZbqi//SEqZl1Gl2s1dBFO6KhkeHVCFGB16cfwdgnepWYcVWNWePfu3Qw3xHC7ZXS51kK3UOEEHXTpdmPiy9zdGG5o7HTL6nKtg25hwwk68NLtmkvUmDVnuCEavGV1uVZBt9DhBB106XZjosv83Rhu8MO3zC7XGugaEU7QgffY/xjbNZ+psVrgDzf0WX1ZWZldbumha1Q4QQddut1YwCrLTgw3rJKyu9xSQ7cWTliU0bMToqDZajrdblmYGrsdNocbyu5ySwtdY8MJUYAeqb45mO9Si80t43e0Mdxgg8stHXRLEU7QgZdu13iINtOAarjhXmtupoDL3bJlSzNSGfWd0twGXJpwgg66SKPbNerASrKytXDDA+V9doNyuR999FGS0hUyr1JAtxZOWJXSmx2iQJhlOt1uIQ+grCpV9nCDLS4X48Vo6JY2nBAFc7rdrBhXyHLKGm6wyeUaDd3ShxN04IXbXcRnMhSSiBlWqmzhBptcrrHQtSKcoIMu0uh2M8RbcYtCuGFe27yZR0WaezOFbS7XOOhaF07QgZdut7gkzLhmZQg32OZyjYKuleEEHXTpdjNGW/GLMzXcYKPLNQa6VocTdOCl2y0+CTOuoYnhBhtdbuGhy3DCOXF00HXd7rPuRfO8Sy1juhW4OIQb7l1vxs0UtrrcQkOX4YQGwAV06XYLjL98q2ZCuMFWl5sodI8ePSrDw8O1eXJyUqamppoafQwnzAJc5X5H6HabGmAWfMkNN8wr5tUNNrvcRKE7NDQkmA8cOODO27Ztc//+jo+Pxx7iDCfEhK2CLt1u7LFl445FDTfY7HITha7jOAK3650A3J6eHm9S5Gc3nNDZ6V787zzzUnQsUwGHy6pGdLuRY4obqgoUKdywcvdS14zZ8IyFqPGXyG3A09PTrpBnzpzxlQPXCxgHp/fff1/GxsbkySeflPfee0/27dvn7ueU+dkJaf1I0O0GhxfXNQoUJdxgu8tF14SJqOmw2ZKOHz8eguuVK1ekv79fEGbwTidPnqwC1nGqy3nzqsvNO+humwXzjNv97LPPvFLzMxXwKfDFF1/Ivevyu7qBLrfaHYlAF2Bdvny54OQZZpxQ6+vrE10898EHH6xDt61NnI5FwnDCHGO5QTjT7frgwpXGCuzatcs9Bhdn/KhIutwEobtmzRrfSTSsA8KnTp0K9f6KFSvq0FVu13Fk/oIOmX/b3eJs/KM4f94rzp5XxDn4b7rfIGCj1ul2Q2ONCdEKvPbaazIvw6sb6HLrfZGI00XcFiEG74STajiJhjCDd5qYmAhBF1c97N+/Xx599FFZHoByHcZ/IoyjgIv0Gbe7detWr9z8TAUiFcgy3ECXW++GlqGLk2eA7sWLF+u5iohKD55cu3btmgAM+A7m0dFR+eWXX3zf/e233+T8+fPy5ptv1mF8u98h+2H8NzpjgJdu1zeOuBJPgbTDDXS5/n5oGbpwtN3d3f5cRdzLxwDVoNNVO/70009y+fJltRprSRjPEvul2401jrhTWIE0ww10uX69W4buyMiIG89V2QKyJ06ccEMLwSsX1D5JL5uD8ZFyxozpdpMeXtbkVw03rHX/ga4YWywPTa1qeabLDQ+flqGLqxRUqEAt4XxxjW7eUywYL6zMnMBDzBhhCsNhTLeb97Azvvwkww10ueHh0DJ0EbP1zuEiipcSH8arxdk4A+NnAeNTZlxNQbdbvEFnWI2SCDfQ5eo7vWXo6rM1M3VOML6/wDCm2zVzABas1gg3rF3XfLiBLlffoYSuXhdfqg7GfcGrKdwwxWpxigJjul1fH3KleQWaCTfQ5UbrTehGazPrlkLDmG531v7jDvEVmGu4gS43WltCN1qbprcUBsZ0u033Ib8YViBuuOFOPkksLJ4nhdD1iJH2x8xhTLebdpdamf9s4Qa63MbDgtBtrE8mW1OF8YzbxYOIdM/CyKSBLKR0CiDc4MxzpPOWhbJ2sq92PS9d7uxdTejOrlFueyQC42P/rT7Jbea263vuuUd++OGH3NrEgsujgC7csGBxu1QqFfnmm2/K09CEW0LoJixoFtnNGcYzblfdvPLcc89lUU2WYYkCS5YscW+QwqMi1RjbuXOnJa2fezMJ3blrVthvBGG8ZcsWcebPrx0I6oDYuHFjYdvAipmlwO+//x4aXxhnq1evNqshGdaW0M1Q7DyKuuuuu0IHxd69e/OoCsssqQIDAwOhMbZ9+/aStrb1ZhG6rWtY6Bzeffdd3wGxcuVK+f777wtdZ1bOLAVOnz4t7e3ttXGG57FcuHDBrEZkWFtCN0Ox8yrq0qVLghcTvvPOO4LnGXOiAkkrgJOzb7zxhuCt3levXk06+1LlR+iWqjvZGCpABYquAKFb9B5i/agAFSiVAoRuqbqzcWPwHjv1xmYsp6enG3+BW6lAiwpgzAXfn9hilsZ/ndA1vgtnbwDgircz4+HyeAko3vaBNzbjhAcnKpCEArjbcXh4OPRDjjGGV3pxqitA6Na1KOUnHAy4bhKvTop6X10pG85GZaqAeoOM90W0eFktfug57vxdQej69SjVGgY7HC6cLScqkJYCcLKALv5FeV/ThfSs3pOYVtvSyJfQTUPVguSJQQ+XC8fBiQqkoQB+2Ht6ety4bRC6+LHn2AurTuiGNSlNCuK2dLml6c5CNgTOVp0bgKsFeDEBxupzISueY6UI3RzFT7touFzv3720y2P+dikAF6tcLlqOsaZAC+jS5erHA6Gr18X4VAx4QJfP0DW+KwvbADhb/JtSkwpnqXUu9QoQunpdjE+F0wB0eY2k8V1ZyAbgMkSML92MsccpWgFCN1ob47fggODZY+O7sZANQBgBMy4RUzN+4DHmvJeNFbLyOVeK0M25A9Isfnx8XHsQ0ImkqXr58wZUo+CKdIa0Go8BQrexPkZvBVzhRnAg9Pf3u3cMYYl1TlSgWQUaXRWDmyF48raxsjz6GutTiq1wJjgQMONkB5+5UIpuzaURKoQQdWUCfuTxD4tTtAKEbrQ23EIFqEBAAfxgN/rRnm17IDsrVwldK7udjaYCVCAvBQjdvJRnuVSAClipAKFrZbez0VSACuSlAKGbl/IslwpQASsVIHSt7HY2mgpQgbwUIHTzUp7lUgEqYKUChK6V3c5GUwEqkJcChG5eyrNcKkAFrFSA0LWy29loKkAF8lKA0M1LeZZLBaiAlQoQulZ2OxtNBahAXgoQunkpz3KpABWwUgFC18puZ6OpABXIS4H/A4qk+X4sjYNfAAAAAElFTkSuQmCC[/img][br]For each rigid transformation from the card sort, write the transformation as a single reflection, rotation, or translation.[br]
Justify why Priya’s transformation cannot be written as a single reflection, rotation, or translation.[br]
[size=150]Diego says, “I see why a reflection could take [math]RSTU[/math] to [math]R'S'T'U'[/math], but I’m not sure where the line of reflection is. I’ll just guess.”[/size][br][br]How could Diego see that a reflection could work without knowing where the line of reflection is?[br]
How could Diego find an exact line of reflection that would work?[br]

IM Geo.1.17 Practice: Working with Rigid Transformations

[size=150]Quadrilateral [math]ABCD[/math] is congruent to quadrilateral [math]A'B'C'D'[/math]. Describe a sequence of rigid motions that takes [math]A[/math] to [math]A'[/math], [math]B[/math] to [math]B'[/math], [math]C[/math] to [math]C'[/math], and [math]D[/math] to [math]D'[/math].[/size][br][img]data:image/png;base64,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[/img]
[size=150]Select [b]all[/b] transformations that must take any point [math]A[/math] to any point [math]B[/math].[/size]
[size=150]Triangle [math]ABC[/math] is congruent to triangle [math]A'B'C'[/math]. Describe a sequence of rigid motions that takes [math]A[/math] to [math]A'[/math], [math]B[/math] to [math]B'[/math], and [math]C[/math] to [math]C'[/math].[/size][br][img]data:image/png;base64,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[/img]
[size=150]A triangle has rotation symmetry that can take any of its vertices to any of its other vertices. [/size][br][br]Select [b]all[/b] conclusions that we can reach from this.
[size=150][img]data:image/png;base64,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[/img][br][/size]Select [b]all[/b] the angles of rotation that produce symmetry for this flower.
[size=150]A right triangle has a line of symmetry. [/size][br][br]Select [b]all[/b] conclusions that [i]must[/i] be true.
In quadrilateral BADC, AB=AD and BC=DC.
[size=150]The line [math]AC[/math] is a line of symmetry for this quadrilateral.[/size][br] Based on the line of symmetry, explain why angles [math]ACB[/math] and [math]ACD[/math] have the same measure.
Which of these constructions would construct a line of reflection that takes the point [math]A[/math] to point [math]B[/math]?
[size=150]Here is triangle [math]POG[/math]. 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[/img]
Match the description of the rotation with the image of POG under that rotation.

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