IM Geo.3.6 Practice: Connecting Similarity and Transformations

Find a sequence of rigid motions and dilations that takes square [math]ABCD[/math] to square [math]EFGH[/math].[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUAAAACsCAYAAAAKYXXnAAAUSElEQVR4Ae2db2he1R3H2w3RUSGxG7ULzoS60rIXS3zRLX1jorLXiXslMklkiINVE+oLS4dLYE6LK026tY4SR6JlA/FP6rBFx0YyNos2pWlEq8Jq1YmDBRc6us4X0zO+t56H58997rn3ec459/z5Hrg8f+6f8/t9f/f5POee373nrBMsVIAKUIFIFVgXqd90mwpQASogCECeBFSACkSrAAEYbejpOBWgAgQgzwEqQAWiVYAAjDb0dJwKUIHCAJyamhKzs7NULlIFFhYWxOTkZGU5duyYWFtbi1QNuu27AoUAiJN/3bp1YmBgwHe/aX+LCgwNDYnu7u7kHMB50NHRITo7O8X8/HyLR+RuVKA8BQoBECc8FpzwLHEqAPhNTExUnEfrD1DEOcGWYEUWvvFEgdwAxD88/u3xilYgS3wKAHCIPa4Eqov8Ht0jLFTAJwVyk0z+81+4cCH5ESwvL/vkJ23VoIDsAklr6cnzQ0M1PAQVsKZALgAi6YHWnzzx01oB1ixmRaUpgEvf3t7e1PrRNTI2Npa6jl9SAVcVUAIQ0EP/TvXlDf7tqz+76hzt0qsAIDcyMpJ6UPwpVvcNpm7EL6mAYwooAYiTGid3/cKT3bFIWjAHVwFpf3zoDuFVgYUAsArtCmQCULb+ADv0/8gFLQFk/ljiUSCr71feGhOPGvQ0FAUyAYjLHVzu1hcAERBkiUcB9AOjlVdfcI6w9VevCj/7okDjGf2F5fIfv/6WB6zGZRDvBfQlxHrsRIKjr69PLC4uJsvc3FzyWd4apacWHoUK2FWgKQDRwmvWypO3Q9g1lbWVqQDOBdkPDOjhM/4I8UfJQgV8VaApAH11iHZTASpABfIqQADmVYrbUQEqEJwCRgD4zjvviM8++yw4sUJ36Pz58+LSpUuhu0n/qEBFAa0AfOmll8SWLVuSvqINGzaIAwcOVCriG3cVOH36tLj55psrfXx79uxx11haRgU0KqAVgF1dXZUfkewwX1lZ0WguD2VCgZ07dzbE7cUXXzRRFY9JBZxSQBsA0YqQ0Kt+3Xbf18Xtx77FxVENbjm6LTVuDz74oFMnKo2hAiYU0AbA1dXV1B/S4WcOirOrp7g4rMHXrv9qQ+yeeOIJE+cbj0kFnFJAGwDh1d69e2t+SHfccYdTztKYdAUOHTpUE7f+/n7x+eefp2/Mb6lAQApoBSB0wU3SN929SRyYezwgmcJ3ZWlpSXxz9Hrxo1+kj/YSvgL0MEYFtAMQIqLPD5e9LH4pgLg99fYhv4ymtVSgDQUIwDbEC21XAjC0iNIflQIEoEqhiNYTgBEFm64mChCAPBEqChCAFSn4JhIFCMBIAp3HTQIwj0rcJiQFCMCQotmmLwRgmwJyd+8UIAC9C5k5gwlAc9ryyG4qQAC6GZdSrCIAS5GdlZaoAAFYoviuVU0AuhYR2mNaAQLQtMIeHZ8A9ChYNFWLAgSgFhnDOAgBGEYcXfUC88eMjo4mk2lhxChMsoXPmFe6rEIAlqW8g/USgA4GJRCT5LSqmEwL7zFmAF4xp3TazJO23CYAbSntQT0EoAdB8tDE+fn5ZLQhAM+1QgC6FpES7SEASxQ/4Kq7u7vFyIibowwRgAGfeEVdIwCLKsbtVQrI1p+r80cTgKoIRrSeAIwo2JZcRcuvt7e3pjYkPRYXFytLzUrLHwhAy4K7XB0B6HJ0/LQNSQ8kOqrL2NiYwPe4NK6HY/V2Nt4TgDZU9qQOAtCTQHlkJkAH4KWVrHVp25v4jgA0oaqnxyQAPQ2cw2YDcljSCu4FLDszTACmRSbS7wjASANv0O2pqankFpj6e/3QDwgAlnkTNNwmAA0G37dDE4C+RcwPe9HPB9iNj4+L6elpMTk5KYaHh0VHR0fpDhCApYfAHQMIQHdiEZol8qkPeUmMfsH6VmEZPhOAZajuaJ0EoKOBoVnGFCAAjUnr34EJQP9iRovbU4AAbE+/oPYmAIMKpxVnPv74Y3HqlL9zgBOAVk4TPyohAP2IkytW7t69O0luIMHR1dUljh8/7oppue0gAHNLFf6GBGD4Mdbl4YkTJyrwAwCxbN26VdfhrR2HALQmtfsVEYDux8gVCx9++OEGAAKC58+fd8XEXHYQgLlkimMjAjCOOOvw8jdHf9sAwM7rrtNxaKvHIACtyu12ZQSg2/Fxxbrl1f+IzieXxFV9t9RA8IYf/kSsffo/V8zMZQcBmEumODYiAOOIcztezr/3rwR+vc+8IS78+1PxyiuviJmZGTF/cll0zCyJ0T/xEljgh3R21d/UeDsniM/7EoA+R8+87dMr/xDrDr8mhk68m9rSm337n8n6iVN/N2+MphrYAtQkZAiHIQBDiKIZH9CyA/zG/vJ+ZgWAH7YDDH0oBKAPUbJkIwFoSWiPqkGfXt8zbxSC2sgf/5Zsj75C1wsB6HqELNpHAFoUO0dVGE6+fjRl7Ib5NXDLiemhpACwnqev9O0VgRmgiT5CJErQT+hyIQBdjo5l2whAy4IrqsOQ8RMTEw1bYWQVANBkqU92FK0LEOx+ejlpPbqcGTaiIn5ITIIUPWXK354ALD8G0oK1tbUEcmlDRsk5NeS2ul9VyY689aHViMzw8Il38+5ifTsC0Lrk7lZIALoTG4APrTyAsL5gTL20lmH9dq18lskO9OPpKGhJ5kme6KirlWMQgK2oFug+BKA7gQXgms2YBjBivl2dBZepg8fOFUp25K1/6uyV22dMZYbRJ4pRpuuXtNZzvc0EYL0iEX8mAN0JPlp5AF2zRedE47hURaYXl6sLH100IoLMDJs4PuYdwfD6crRp+UoAGglluAclAN2JLX7Q+GHXF3yH5IiuAiAhW4usbZFMbyv1y8yw7nqQKU/LluexkS3APCpFsg0B6Eags25zaXZrTCuWyyc3BubPpT7Z0coxs/aRt8egtakzM9wsW55li1xHAEol+Jo8wvjU24eoRMkKoH8Pl75pBf2COhIgupMdabamfSczw+hv1FGysuV5jp+ucp49M7ZBS4K3wWQI5OgqtgDdCEyz21za/bHDO5PJjrzq4bIbmWEdAyfIP4u0bHkeewjAPCpFsg0B6Eag0YkPCNaXrFtj6rdN+2wj2ZFWb9p38vIbGeJ2ClrDaYmivMckAPMqFcF2BKAbQcaPOi2Die/SEiN5rLaZ7MhjD7aRmWHcK9hqwZ8FEiDQRi5FHhFUAjCNrqg0q/ASOEsdd9cRgO7Gph3LZGsLWVidyYd2bJL7IgGDLHSrmeFm2XJ5fNVrLgDiX0fSFa8qwhKAKtndXE8AuhmXdqwa/+v7SX+bric72rElbV+ZGcagC0XhnJUtT6sr7btMAMpO16IdjARgmtTuf0cAuh+jLAvPnTsn9u7dK3bt2iWe/f3x5BlcJBva7WfLqlPHOowYg5uwcXtMkaJjUIhMAKK11ywdn2UoAZiljrvrCEB3Y6OybGVlRVxzzTU1CYGv/GCPaKd/TVWnzvW4BC6aGW6WLS9iVy4AVj9jByiqCgGoUsjN9QSgm3HJY9UDDzxQAz80XLZs255nV2e2kX2VNofUzwQgrrGRYUFWCgveQ9jR0dFM0QjATHmcXUkAOhsapWF33XVXAwA3btyo3M+1DTDkPlqCgKGNkgnANAOQAAEEcf3drBCAzZRx+3sC0O34ZFl39OjRBgB+/+57snZxdh0mXZKZ4YsXL4rLly8bs7UwAGGJ6nEcAtBYvIwemAA0Kq/xgz/yyCOiq6tLXH311WLj4JDoPPJa4cyqcSNzVIBs8Ld/d0ZcteN7Fajfe++9OfYsvgkBWFyzYPcgAMMJLSAiM6tFby9xQYX7fryrAj9ccWLZt2+fdtMyAZh2+4tMPWeNR8YWoPY4WTkgAWhFZmuVyIEHdDxza83oLyraunVrAwBvvfVW7WZkAhCJj56eniTpMT4+Lvr6+pKBB7P6/2AhAag9TlYOSABakdlqJWVkVnU4uHPw9gYA3nOP/j7NTADCEcBOZoHxPqvlJx0nAKUSfr0SgH7FK6+1vk1WDmhvGJuuAeC1114rTp8+ndfl3NspAZj7SFUbEoBVYnj0lgD0KFgFTZUDD7T6zG3B6lrefPLUR5VH906eWRGPPvqo2L9/v/jggw9aPmbWjgRgljqRrSMAww04EiFySHpXJyuXg7TiXkBbhQC0pbQH9RCAHgSpDRMBQRcnK4ddeA7Y5g3QUkYCUCrBVw6JH8E5IDPDrkxWDnswEgxu2Snj8pwAjOCkz+siW4B5lfJ7OzlZedm3x8AOOSNdWZflBKDf57JW6wlArXI6fTDTk5WrnJ9euTJZOh57K/NGbQJQFamI1hOAEQW7akh6E5OVZylZRrKjmT0EYDNlIvyeAIwv6O0OSV9EsTKTHc3sJACbKRPh9wRgfEEHlHB7jO7JyuuVLDvZUW+P/EwASiX4yixwpOeAzAzrmqy8XkYXZ6STNhKAUgm+EoARnwM6JyuvllE+i4xL7TKTHdU2Vb8nAKvViPw9L4HjPgEkrHRNoiSTHa7OSIdoE4Bxn/M13hOANXJE+UE+M9zOZEpo6eFyuownO4oGjQAsqljA2xOAAQe3gGvVQ9IX2C3ZFP2JSKjgyQ7bt9cUtRXbE4CtqBboPgRgoIEt6JbMDBedrNzlZEczCQjAZspE+D0BGGHQm7hcdLJy2X/YbrID0+4uLi4KTL5moxCANlT2pA4C0JNAWTITl7N5JivXkeyYmpoSnZ2dyYRrAwMDycjzg4ODxj0lAI1L7E8FBKA/sbJlqWzZpU1WrjPZgVHn0fqTBSPPd3R0CIDRZCEATarr2bEJQM8CZslcOVn5T5/9QzIzG6bGeO/ifyvJjnYyxlkujIyMCLQGTRYC0KS6nh2bAPQsYBbN7R//Wc0cHV++cZu48cnXjI7hB/gBgiYLAWhSXc+OTQB6FjCL5t7wjRtrAIh5en/++H5jFuASGHVUXxabqIwANKGqp8ckAD0NnGGzL1261AA/wOn+++83UjPmI8cUvKZbfzCeADQSQj8PSgD6GTcbVt92220NEHzuueeMVA3w9fb2CoDQdCEATSvs0fEJQI+CZdnUN998U/T39ycQXL9+vXjooYeMWGATfnCAADQSRj8PSgD6GTebVn/44Yfi8uXLRqq0DT84QQAaCaWfByUA/YxbCFaXAT/oRgCGcPZo8oEA1CQkD1NIAWR6kVRptpjMBBOAhUIV9sYEYNjxbebd0NCQwGNn1QtaZLYKkh2AXLPFZDKEALQVZQ/qIQA9CJJmEwEXtLzwyFk1gGwNRqDZncKHIwALSxbuDgRguLFt5hmgBwDGWox4jh/S2dVTsWrqrd8EoLeha9lwDEKAe+5iLQRgrJFP8ZsATBEl8K9sPG/rsoQEoMvRsWwbAWhZcAeqw5BT9dlXtApjKQRgLJHO4ScBmEOkgDaRAw7UJ0DwfSyFAIwl0jn8JABziBTQJvPz81EnQBBKAjCgE7pdVwjAdhX0a/+xsTHjA466rggB6HqELNpHAFoU24GqkAABBGMuBGDM0a/znQCsEyTwj0h+9PT01DwBEhsQCcDAT/Ii7hGARdTye1s8AYJsb/2CfsGYCgEYU7QVvhKACoG4OjgFCMDgQtq6QwRg69pxTz8VIAD9jJsRqwlAI7LyoA4rQAA6HBzbphGAthVnfWUrQACWHQGH6icAHQoGTbGiAAFoRWY/KiEA/YgTrdSngBEAfmdqizj5/p/1WckjWVHgu7+8SRw6uc9KXayECriggFYAYp7QzZs3J88Xrv/SevHYY4+54CNtUCjw6quviu3bt1dGBRkfH1fswdVUIAwFtAJw06ZNlR+RHGLnzJkzYSgVsBc7duxoiNvzzz8fsMd0jQpcUUAbAJeWlhp+RIDgtvs2C/QtcXFTg1ue3pYat927d/M3QgWCV0AbAD/55JPUH9Kvn/1VMjw+hsjn4qYG13c1ttyPHDkS/MlPB6mANgBCysnJyRoI3nnnnVTYAwVmZmZq4oZRQlioQAwKaAUgBHv99dfFwYMHxcsvvxyDfsH4+NZbb4nDhw+LF154IRif6AgVUCmgHYCqCrmeClABKuCKAgSgK5GgHVSAClhXIBcAZ2dnk/499PHJJaaJU6xHxYMKMZ7c9PR05XyYm5vzwGqaSAVqFcgFwO7u7mTuADl4Ij7jFpfl5eXao/FTFArgPED8MaH20NBQcm5gekX8UbJQAZ8UUAIQ//Q42RcWFmr8AgRjGz67RoBIPyDmgF39+RCpHHTbcwWUAMSJDgAChNWFE6pUqxHHe3kuEH5xxDsGL5UAxOUOLnWqi5xPlD+EalXCfy8vd8P3lB7GooASgGjpdXZ2VmaO6uvrS/p9CL9YTpErfsquEPbzxRX30L1VAhD9PfjnlwmQkZERgf4/JkBCPzVq/ePlb60e/BSGApkAxK0uadleQBAtQZZ4FJAAjMdjehqDApkAlH199UKgNYhWIEs8CkgAsuUfT8xj8DQTgLjlIe3BeHn/VwwC0ccrCsirAfz5sVCBUBTIBCDgNzw8LBYXF5MFT4EMDg4m94HxSZBQToH8fuAPEQkxPAEib4tCyxALCxXwUQElAAHB6mVqaqpy8vvoMG1uTwG0ANEvXL0wM9yepty7PAUyAVieWazZdQVwBcCrANejRPtUChCAKoW4ngpQgWAVIACDDS0dowJUQKUAAahSiOupABUIVgECMNjQ0jEqQAVUChCAKoW4ngpQgWAVIACDDS0dowJUQKUAAahSiOupABUIVgECMNjQ0jEqQAVUChCAKoW4ngpQgWAVIACDDS0dowJUQKUAAahSiOupABUIVgECMNjQ0jEqQAVUChCAKoW4ngpQgWAVIACDDS0dowJUQKUAAahSiOupABUIVgECMNjQ0jEqQAVUChCAKoW4ngpQgWAVIACDDS0dowJUQKUAAahSiOupABUIVgECMNjQ0jEqQAVUCvwfDmKDUH7SqOQAAAAASUVORK5CYII=[/img]
Quadrilaterals Q and P are similar.
[img]data:image/png;base64,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[/img][br][br]What is the scale factor of the dilation that takes [math]P[/math] to [math]Q[/math]?[br]
What is the scale factor of the dilation that takes [math]Q[/math] to [math]P[/math]?[br]
What is our definition of similarity?
Triangle [math]DEF[/math] is formed by connecting the midpoints of the sides of triangle [math]ABC[/math]. 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[/img][br][br]The lengths of the sides of [math]DEF[/math] are shown. What is the length of [math]BC[/math]?
If [math]AB[/math] is 12, what is the length of [math]A'B'[/math]? 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[/img]
[size=150]Right angle [math]ABC[/math] is taken by a dilation with center [math]P[/math] and scale factor [math]\frac{1}{2}[/math] to angle [math]A'B'C'[/math]. What is the measure of angle [math]A'B'C'[/math]?[/size]
Use the applet below:
[list][*][size=150]Dilate point [math]C[/math] using center [math]D[/math] and scale factor [math]\frac{3}{4}[/math].[br][/size][/*][*][size=150][size=150]Dilate segment [math]AB[/math] using center [math]D[/math] and scale factor [math]\frac{1}{2}[/math].[/size][/size][/*][/list]
A polygon has perimeter 12. It is dilated with a scale factor of [math]k[/math] and the resulting image has a perimeter of 8. What is the scale factor? 
[size=150]Select [b]all [/b]the statements that [i]must[/i] be true.[/size]
Chiudi

Informazioni: IM Geo.3.6 Practice: Connecting Similarity and Transformations