IM Geo.3.2 Lesson: Scale of the Solar System

NOT TO SCALE
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[/img][br][br]The diameter of the Sun is 1,391,000 km. The diameter of the Moon is 3,475 km. The distance from Earth to the Sun is 149,600,000 km.[br][br]How far would the Moon have to be from Earth for the Moon to appear the same size as the Sun?
[size=150]The class is going to make a scale drawing of the planets in the solar system and their distances from Earth. Your teacher will assign you a planet to draw and place on the scale drawing. A circle with a diameter of 2 cm represents Earth.[/size][br][br]What information do you need in order to draw your planet and place it accurately on the class’s scale drawing?[br]
Record the information here. Calculate any additional information you need.
Draw the scale drawing of your planet on a separate sheet of blank paper. Label it with measurements. When you’re finished, place it the correct distance from Earth on the class’s scale drawing.
You probably weren’t able to place your planet the correct scaled distance from Earth. Why not?[br]
What has the greater quotient: the radius of Earth compared to the Sun or the radius of the Sun compared to the radius of the star Betelgeuse? [br]
If a circle of radius 6 cm represents the star Betelgeuse, how large would the Sun be? How large would the earth be? [br]
Draw the scale drawing of the Sun and Earth below, or explain why you can't.[br]
Imagine that Earth is about the size of the period at the end of this sentence. That’s a diameter of 0.3 mm.
How big is the scaled version of your planet now?
How far from Earth is it?[br]
Can the scale drawing of the solar system fit in the classroom now?[br]

IM Geo.3.2 Practice: Scale of the Solar System

Figure G' is the image of figure G by a dilation with scale factor 2.
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lv/DksF2PByyZY3zOK66E959mr9cOlSAyKkjXJ9jCqayiSxXzKCRTrnX//612JdDmtzeCxdulQSI1nJdQQQqPrO3VH0jq/80dnhJTBt2jSRveCBBx6gnTt3XjdEpVcvuaTSSFf5TlMlV8Tx7FWlsdVCs/l12WL8z2YdkcQcyQh2yZIl3cgVBHv33XdLYiQruY7A1oRiMXvFbE5uGTduXI8x9fHxkbvZPvWfyaoUs1i5+v9tzFKevfY5ArZ/8bPQObQoeKYkHZWMYHFCyzBzNTz/8pe/lMRIVnIdgYeOJRCCVMstjY2NPcYT47p4sbonmto7OumWoePoN7fdTvfddx9t2bJFMijSq5J49ioZmvpVdCHPWXwPMqpTrO6EZATr7e3d4wc5Y8YMqw1kBdcRwKwNcVNDZcxIcL01Eie0DH+Whue1a9d2LaL461mzZvX4np0+fVoSO366uJNe9xwuiS5Wom8Exrn/k/akbLa6E5IRLCw5cOAAPfbYY/TnP/+Z5s6da7VxrKA7AnDNQrxUpeSLL77oRmZ//OMfqaCgQKnmjbbz+9//vptNIP6ZM6W5nfs4eBZ9HbPEaLv8oX0h8F3CGnrDdQSFhIRQfb3lYT8lJVj7GgLle/vU6SR600s5Z3v08OjRo4LAsMYupV+rJejFlTXQrf/+nz0IdsGCBZao61antLFY3BYiqDYLI7B242r6xc03ie/azTffTN99951FoDDBWgSb8pUQjBouSkrk1VK+d323iMhaC4JyxfLInVMWdCPYX/3qVxQfH9+3AhOuGrIVXG4sNqE0F7FlBHCXZlgS6/qcl2d+wB8mWJ18U05mVtAvfwwnJDK0F4FLGlKNI/0NkiN+EppHubXNdOrUKTGrXrhwISUkJEgCB5zLpT4mKYlhrERxBAzpq7qSK15bstbPBKv48FnW4KrIAvr7MWnIxDILlK2FjLP/cyROzFpn+2YRlgfkkk7qpNFuj9OhtG1yNcF6dYJAXWstrXNbanQGm5SUZHYvmGDNhkz5CqWlpfTc2r300gFf5RtXuEXM1LHWDG+JCecvko8CYQpjSkPF+mtSRYzCveXmtIQAUshM9RxOk84/RyNnDu9GsvPnz7fIVCZYi2BTrtLWrVu7DfSyZcuUa1zBlkCko9zSBbEOc0ql05cqFGv9x8T1NMbtCcXa44a0hQD8Xuf4vkYjXf5B25O+pqKrwdXDw8Np+/bthGdLhQnWUuQUqFdeXt6NXA1rQlJs6ihgvklNIBrYDO9LglgfOZFIu1NKTaonZSFEs/8y0npPBCltYl3yIxBW4k+Lg98Wdy/fxCwlHDSRWphgpUZUQn1eXl5GCba3GKwSNi27qoL6FkIqGCwF3Hsolr6JLSLkFlNakHPrhbMPkLtMOZmU7g+31z8CKZVxtCpygRh3BFWPKg3pv5KFJZhgLQROiWolJSVGCTY6WrnDBlL3s6m9g9ZGF9LtuyLF4/OwPMVTjHftk3e+q/ihXapJ7/oxv7ZBBBDIZXPcSjHeC4Kmk1/BOdl7yQQrO8SWN5BQ3kA3j/2gG8nCNUmvsiPpMt131TNgjl8WoX9qCzwHMINtam9U2xRuXyYEalqqxLFXrLG+4zOWXLKPy9RST7VMsD0x0cQnda3tIh3MMz8nU0hiKh0/fpwSExM1YZu5RpzKrBB5tbAcMMkjg/wLlU/Q2JvNX8V8LrLG9nadP9cvAnC/O5m5nyZ7PEdTPJ6nny7uovrWOkU7xASrKNymNzbCJY3uORhLEZctPwdtemvylEQmWINnwIvOqYRQg1qTuf5TCLeLLLaFwPncM/SOjwO96voo7Uz6loob1ImhwQSrwe/V+/7Z9H+2hWuSkEyBC7f+b131DHjsZCLtTVXeM8AUO1HmFZdHCDvILLaBQEixDy0ImiGWfTbEfkFShBy0BhkmWGvQk6EudtNxK/19QokM2uVVWVjfQouuegb896FY2hBXRDjuqlVpaW8WP8TD6du1aiLbZSICieXRtCLcUYznighHiikNM7GmvMWYYOXF1yztcK4HuX4Wan5QCbMakrhwc3snrYsuFIkY4R2wNCyfQLZal+zaDPGD9C1w17qpbF8vCOTUZhJmqtioXBT0FvkXevRSUp2PmWDVwb1HqzGl9YJclQ5H2MMQMz/YmXxZrBXjjwFLG0kV+tiN/+qrr+i+h/6H7vjfW2j1lpVm9pqLq41AZXMZ7UzeQC87D6J3fceTW85JtU0y2j4TrFFYlP2wqrmNcEv9vFMKlTe1Kdu4ha1htv3EqSsxA6Z4ZlBgkXY8A/rr0po1a7q5vuGE3JEj0iS5669tvm4dAm0dbXTs4m6acP5fNNVzmHjd2Ka+u19vvWKC7Q0ZBT8f7pwq/ENxbFTr4ldYQ6Pdr8QMeNkljZyytecZ0B+Gf/vb33oQrIODQ3/V+LrKCGCWOtN7FI1yfZx2JW+ky41FKlvUf/NMsP1jJGsJhOK7dWckuedWydqOtcoTKxroLZ8rMQPgGbA/TZq88dbaZUn9wYMH9yDYiRMnWqKK6yiAQGDRBXIMnCbWWTfFraDMavnStkvdHSZYqRE1Qx82hrB2uSv5shm1lC1a1NBKi696BvzlUCxtiismbGrpWT5e2z0rApYInJw4VYzWxjSuLIKWhX0giPXLiPkUV2Z5VCu1+sYEqxLyxzLKBbmuiMhXyYK+m23p6KT10YX0ix/D6I7dkfRFeD4hbY3epag+n5Ax9NUlQ2nEyJdp/PjxdPbsWb13y6bsR1wIJJ+EZwCiXWEGq1dhglVh5MIv1wlyneWbpULr/TeJGfV/7I8WNs4NyKaUSn14BvTXs47ODnrPbwLN9h1HBXU5/RXn6wojUNZYIuKxvuj0kBgn91xp0rEr3I1uzTHBdoND/jelja0i9TaOwiLegJbk50sVNPh4oiDW1y9kUnCxfjwDTMERjujjzz1DuPVk0Q4Cze1NdCR9hxibaZ4v0omMvTYTfIcJVuHv2bNnkumhYwmUVtWkcMu9N4fgK/AIwHowiN8lR9sbbr33pPcr2xK/ErecXvmuvRfiK4oj4Jx9jKZ7jRQZJfakbKayJv2dYOwLNCbYvtCR+BrO5//bnijyzq+RWLNl6nAowJBN4PGTSXRQx54BfSFw+tIhQa7HM/b0VYyvKYgAYrEi0A7WWTfHf0kIfG6LwgSr0Kh+GVkgZogHNEBi2KxaHHIlm8BfDsfRlvhiau3Qt2dAb8MYVOQtfsQ/JK7rrQh/riAC0aUh9HnoHDEmqyMXUnx5pIKtK98UE6wCmB9KLxPkikj+agpI9KuYK65h8AxYEVFAlxv17xnQG6YZ1ak0wnkQwcWHRV0ELlan0LroTwSxfhLyDgUXe6trkEKtM8HKDHRQca0g1w8CsmVuqW/1SCZ4954oYYtjYI6m1oD7ttyyq7WtNfTmhRH0UcDrVNakXT9jy3qnn1olDYX0Q8JaGub0N3rffxIhTqs9CROsjKONiFK/2R5BDu7pqt2CI8j1A0fjBbFOu5BJoSXKRnSXEd4+VcN/8nXP4ZRWpc8sEH12TgcXG9rq6WDajzTW/Wl648LLIrNAS0ezDiyX1kQmWGnx7KZt0PEEeuxkEmXXKv/FCiiqpefPpghihWeAuw16BnQDu8ubb2OXiVvRoCKvLp/yS6UQOJN1RJCqg/tTtC91K1U0aTfgutyYMMHKhDAiTP1pf4ziUaaSKxoJbcPl6vFTSXQ4Xb8xAywZGkMSQ6esnyypznWsQAAZet/3myj+3LbGrybEarV3YYKV4RuAY6UgOByHVUpKGlppXlCOaBeeAd8llFBHp216BvSGqWeek/hxw5+SRTkEIi4HEjau4HK1JmoxJVboN6281KgxwUqM6L7UUkFySJeihLRdjRkAQr9zdxTBHaxMJzFlpcQH7j74gX8d87mUallXHwikVSbQ6shFAvfPQt+l0GLfPkrb5yUmWAnHHbFSQXQLgnIl1Nq7qj0ppSLUIdqEZ8DFau2cDuvdaumvYKd6wvkh9HHwLKprta3jvdKjZb3Gwvpc2hq/ShDrXP/JhDsHFuMIMMEax8XsT3NrWwS5TvLIMLuuuRXOZlXSXw/HifbgGYDgMfYsH/hPopneoymnVn7s7RlnuL5h02qM2xPieOvpSweprcN2/ailGGsmWClQJCKsez77c7Ksyf6QluWfPycLYh3pmkbnc6slsl6/anCI4CXnhyiqNFi/ndCB5acyD9Drni+KUI8HUr+nymbl9hd0AE+vJjLB9gqN6RdedU0TObUiLtebXsmMkggXOO7cRUGsyIP100X+cgO+HUnfiNtUe3NeN+OrY3VR3P7P8X2Nhjk9SN8nrKW8Om2G2LS6ozIpYIK1EthFwbn06+3hBId+qQXHWJGpFWusWBL4IdG2Ig1Zg9fZrCOCXBHmjkV6BEJL/GhR8EyBMY64JlfESt+IHWhkgrVikJGyGuT3vcTE197ZSSuvBocxeAZUNMufbXbMmDE0dOhQ8Zg3bx5t3ryZqqq0F7oQu9XwGNgSv8qK0eOqxhAAka6MmC/wXRL6HoWV+Bsrxp+ZiAATrIlA3VjsQn61INfPQvNuvGTV+x1Jl+lX28KF7nmBOZRZo8wpsOzsbJEIcPr06bR8+XLC8+2330733HMP4ZpWBOlERrs9Tl+Ef0hI4cwiDQK49UdCQfxxfRgwlbzyXaRRbOdamGAt+AKA9DBzfdNLupMq8Az4zwMxQu8bXpkUKdN6bm/dPXPmjCDYrtcxex04cKCY0Xb9XK3X9W11Im0zTgsVNxSoZYZNtVvVXEG7kzfRKNfHaIbXK3Tm0mHq6NRWpg09A84Ea+boIWzq/90bTcOcUqlcAof+oKJaevTklTQt8AzwzFPHMwCz1ocffrgHGvv27RPEq4WlApwWGu36OCVVxPSwkz8wDwGQKFKzTPF4QaRqQWCW6hbp9xHMs8r2SjPBmjmmQ84k0//+FE/x5Q1m1uxePLWykV51u5KmBZ4BSh6r7W7JlXdDhgwRywI3XvP19RUEi2c1ZWPccnH76ld4Xk0zbKLtc7mnabbvWHrR6e/0Y+J6yucEkLKNKxOsGdC+65dFt+2KJPdcyzd+kPTwbZ9LYikAngE/SrxBZkZ3uhUdMGAAYbZ6oxgINjZWvV1keApgbfB05sEbzeP3ZiCA7A4LgmYILL+K/oxSK+PNqM1FLUGACdZE1DbFFwtSREprSwRLC0vC8oSOu3ZH0arIAqpu0cZaF8gTBGuMRA1LBJb0WYo62GwBue5I+lYKdXapI6E8ipaHfyRwXBr2ASE4C4syCDDBmoDzudwqQYxIsWKJbE0oEfWxMYaIV1kKeQaYamtfJArXLSwfqCGIyoRTWmujFqvRvO7bzK7NIENsXMeAaeSd76b7PumtA0yw/YwY0muDGN/xNf8Ey4mMCrEhhvrwDIguleekVz9d6Peyo6OjURI1LA/Aw0BpKW0spqmew2h+4JuEnW4W0xEobyoVM/5XXB4RXheIjdtJ9hW60nS05C3JBNsHvi3tnfTbHRH0imsa1bWafjvvX1hLDx1LEMQMzwCvfHU8A/roWrdL8B6AF0FXAbnecccdhBmsGoJcWq+de5Yyq1PVaF6XbbZ2tNDRi7toksdzNOHcv+hw+naqbdH2d0+XQJthNBNsH2D940QiIe0LZrGmCMoNd04VxPrkqSQ6rmDAbVPs660M1l8dHBxoxYoV4oHTXPgMM1s1BOmcse7Kp4hMR981+wTN8hlDLzk/TNsSv6bCemkPwJhuCZfsigATbFc0urye6plBf9gbTd4FNV0+Nf4SAa6xBIClgP+nIc8A49Z2/xQbW1hjNTxwgmvTpk2qnd7albxBkKtbzsnuhvI7owj4F3rQvMA3BGbfxCzhJI9GUVLvQyZYI9gjKwDI8mBa3/mskJEFwV5QVngGRBVQrUY8A4x0S/MfOWcdFUSBcHgsfSMQWxZGy8LmCry+CJ9LUZc5XGPfiKlzlQn2BtxPZFYIwlwXXXjDle5vv40tEuVArvAMyFEhc9kZLsoAABALSURBVGx3i/T9LrzEX5DFhtgv9N0Rma3PrE6jr2I+F1hh5upbcE7mFlm9NQgwwXZBL7GiQZDmhwG9Bzc5lF5Gd+yOFOUQiyC2zLoTXV2al+1lYGAgHTx4kDIzpYudIKWxcCcaf+4ZkTivqb1RStU2owteFTh1NcJ5EL3tM5qcs4/ZTN9suSNMsFdHt76tQ5AmAlu34lTADYIYAfcduZKmBV4FXvn9r83eoEKVt1OnThUbVti0wuP777V1+93Y1kDv+o6n1z2HUwEf2ezxHcEfDrwBkHNs4vmh9FP6Ts471gMl7X7ABHt1bHBsFTEBsm+41U8ob6AhZ1IE+V7xDNCPT6azs3M3cgXB3nrrrdTebrrLmdxfXcQchcdAXFmE3E3pTr9T1lHhxzrCebDI3sARxHQ3hMQES0Sj3NLpzwdiKKj4ekZSZBOY6JEhiBWeAduS9JdNYO3atT0IFiSblJSkiW/q5riVgly98l01YY9WjPApcCf4AeOPByexLlYla8U0tsNMBOyeYBeH5NJNP4bR8YzrM9MPA3MEsd61J4pWRxVQfWuHmbBqo7i3t3cPgv3Tn/6kCePgEA8COZ6xRxP2aMEIJG40zOgROyC6NFQLZrENViBg1wS7J6VUEOnGuGIB4ZqoQvEengHzg3Ior67FCmi1UXXRokXXSPbOO++kkyfV9y/1KXAT5PpD4jptgKSyFelVSYS8V/jDWRA0nfw5JKPKIyJd83ZLsCHFdYJM4ce6O6VUHIkFserFM8Ccr0BBQQEFBQVRW5v6KVaQ8+lV10cJvpv2LsUN+SJTKwLavOPjQK45J+wdEpvrv10R7JIlS+jJJ5+kSVNfpwGf7Kcpnhl076FYQbTwDPDWiWeAXr+F5U2XaYbXSHrL+1Uqa7Is7KNe+97V7vrWOsJhCrimIW7A0Yu7qaFNm4GAutrNr81HwG4IdsKECddulbHR88tbbqUBa13pqVNJhMMFLPIjsDDoLRru9KBdH+f8+dIhkftqpMs/CMeCSxr7PtAi/6hwC3IiYBcEW1xc3I1cQbB4TF6yXk5sWXcXBAxrjEFFXl0+tZ+XCBw+13+KWGfdGLuco4TZydDbBcEWFRUZJdjvvvvOToZZ3W7uSdksiAVxSe1NwksC6LPQd0X/V0TMo9iycHuDwK77axcEixEeO3ZsN5L93e9+R/n5+XY9+Ep0HmH0sDsOkrUnSamMpzVRi0XfsTQSUORpT93nvl5FwG4IFjvocFkaPHgwTZw4kUJCQvhLIDMCkZeDxJrr6shFMrekHfUF9Tm0NX6V6Pds33HknnNKO8axJYojYDcEqziydt5gXl0WTfZ4nub4vmYXZ+drWqpob8pWGuv+NE3xeIGOZ+wlDlxj5z8CIj4qy18B6RFobm+muf6T6RXXRymnNkP6BjSkEbmuTmbupzcvvCz8e3enbCJEvmJhBICATc1gs7Ozyc/Pj0dWZQRWRDiKtUcc/bRl8cg9Q+/7TRR93RS3grJq0m25u9w3CxDQPcFWVVWJPFJI0Gdwv8IzUp+wKI/AdwlrBOGcz1U+E61SvQ0p9hGxa7F592XEfIovj1SqaW5HZwjommBBroMGDaKBAwfSvn37CO8hyDOFrKgsyiKAdUeQzpH0Hco2rFBriRUxtOpqQsbFwTPJXn16FYLbJprRNcFilgpyNRCrTYyITjvhV3hekCsS79ma5NZeIkNoxTm+4+l87s+21kXuj0wI6JZgMUvFUgDPVGX6ZpihNrUyQeyeI4ZpW4f6AWXMML3PopXN5YRNqzFuT9JUz+FiM6ulvbnPOnyREeiKgG4J1tHRUcxeu3aGXyuPAEgIkaDGuf+TbCXifntnm4hTO83zRRrl+jjtTdlCCFTDwgiYi4BuCXbIkCEEkmVRF4FPQ64cA02qiFHXEIlax8GAOX6vieWOLfFfEhIysjACliKgW4LF8sDy5cst7TfXkwABpDPBphbWX/UugUUXCBtX6A82shLLo/XeJbZfAwgwwWpgEPRowv7U7wQZnc48qEfzr9mMZIsrI+aLvnwcMovggsXCCEiFgG4JFksE7Osq1dfAPD24jcZMb0v8KvMqaqg0DgUgbCD68Z7fBPLIO6sh69gUW0FAtwS7adMm4UUA/1cW5RCILg0hBIteHPy2co1K2BIyKexM3kCjXB8jbGKdyjxArR2tErbAqhiB6wjolmDRBcxgsRaLwwZDhw4Vz5jZssiDQEFdjjhzP8Xjeapq1lcWCLhXIZPtVI9hNMbtCdqXupUqm8vkAYq1MgJXEdA1waIP8IfFbBYbXpjNIh4Bi/QItHW00vzAN8UtdWZ1qvQNyKjRJfs4IXQglgO2xq8mHBxgYQSUQED3BKsESNwGXQseHVbirxs44N2wMGiGIFYEv06qiNWN7WyobSDABGsb4yhrL3YkfSNIyjXnpKztSKU8pjSUlod/JGz+NGQ2hZVwhDWpsGU95iHABGseXnZXGptAuLXenvS15vueUZ1C38YuFfZ+4D+JLuQ5a95mNtC2EWCCte3xtap3AYWegqyWhr1vlR65K5c0FNL2pG/oFZdH6I0LLxNSY7d3tsvdLOtnBPpFgAm2X4jss0B6VRJNPD+UpnuN1Gzqk8a2ehEacbLHc+Tg/hQdSP1ed94N9vntsp9eM8Haz1ib3NPqlsprkfrhmqVFcco6SrN8xogZNoJ859ex94gWx8nebWKCtfdvgJH+fxE+VxAXjpFqTXwK3K65i62N+piQHpuFEdAqAkywWh0ZlezC8VdsamltgwgpwJeFXSH+z0LfpfCSAJUQ4mYZAdMRYII1HSubL4lULyBXnHLSiqRVJdLXMZ8Lu5Cp1ivfVSumsR2MQL8IMMH2C5F9FECGVJDrl5ELNNHhwvo8+jFxPY1wGSw22s5cOkKdnZ2asI2NYARMRYAJ1lSkbLhcbFmYSIsy23es6r2sa62hQ2nbaOL5ISJLwsG0H6mm5UoyS9WNYwMYATMRYII1EzBbK15Un0dve48WM0VEmlJTzmQdoZneo2iY04P0Q8I6KqjPVdMcbpsRsBoBJlirIdSvgo7OdkKQaSwNYK1TLfHKdyHHgNeFHeujP1XVFrUw4HZtEwEmWNscV5N69XXMEkFqAYUeJpWXuhACxywJe1/YsCT0PYKnAAsjYEsIMMHa0mia0RdkSsXMFZ4DSktyRRxhpor2PwyYSvBtZWEEbBEBJlhbHNV++oRTUCC3r6I/66ektJdx2ur7hLX0kvNDNMPrFXLK+knaBlgbI6AxBJhgNTYgcpsTXOxNLzs/THP9p8jd1DX9OHqLOAHjzz1L4889Q4fTtxG8BVgYAVtHgAnW1ke4S/8Qzg95qBzcnqK61touV+R52dHZQacvHRSz1Red/i78Wosa8uVpjLUyAhpEgAlWg4Mih0m1rdXkGDhNLA3k1GbI0UQ3nZ55TvSh/5QrSxExnxOic7EwAvaGABOsnYz4qsgFguzkTvkSUuxLiBWANd6lYR8QstCyMAL2igATrB2M/LbErwThITuBXJJYHk2IbgVidQyYRr4F5+RqivUyArpBgAlWN0NlmaEnMvYJ0tsUt9IyBf3UwnIDMrUOd3pQnMJyzj7WTw2+zAjYDwJMsDY81vAvxYwSmVWlloqmMhF1a6z70zTh3L+EP21DW53UzbA+RkDXCDDB6nr4ejc+oTyKXjv3L5p0fii1dbT1XtDMK60drXQycz+9eWEEveT8sEiGiJxYLIwAI9ATASbYnpjo/pOShgKa4/eamL0WNxRI1p/zuT8TsrViVvxNzBKC2xcLI8AI9I4AE2zv2Oj2CrLAggQRhlAKCSrypk9C3hE6kU4mpjRUCrWsgxGweQSYYG1siDfFrRBEKMVmU3x5JK2OXCj0zQt8g/xVCgpjY0PE3bEjBJhgbWiwEagaM1dkArBGLtWk0+a4lULX2z6jyTX7hDXquC4jYLcIMMHayNCfyz0tCPHz0DkW96i0sZj2pGwW2Q0mnh9KP13cRY1tDRbr44qMgL0jwARrA9+AiMuBNMr1MXrjwssW9aapvZGOZ+wVcQpGOA+mHUnfEsiWhRFgBKxDgAnWOvxUr51Vc5He8npVzF6rmivMtsc959Q1j4NvY5fRpZo0s3VwBUaAETCOABOscVx08Wl9ax0tCp4pyDW5Ms4smwMKPWlx8Nui7vLwjyi2LNys+lyYEWAE+keACbZ/jDRbwpAVwCPvrMk2wnXry4j5glgXBE0nEC0LI8AIyIMAE6w8uMqudXfyJkGSe1I2mdRWRnUqbYxbLuq84+NAbjknTarHhRgBRsByBJhgLcdOtZpIbw13rBURjv3agGOsu5I30CjXx2mSx3N07OJuam5v6rceF2AEGAHrEWCCtR5DRTUEFl0gZAeY5TOmz3YReOXoxd001XMYjXT5hyDZsqbLfdbhi4wAIyAtAkyw0uIpq7bUynia6jFMBFmBa1VvgoMBs33HiVnuxtjlBE8DFkaAEVAeASZY5TG3qMWyxhKR4hpLA5nVqUZ1+BWeF6EJrywfzCMcdWVhBBgB9RBgglUPe7NaXhkxT8xI/YxkCkBalhXhjuL6wqC3KKjIyyzdXJgRYATkQYAJVh5cJdX6Q8JaQZ6INdBVkEgQhwMwY8WSAI7LsjACjIB2EGCC1c5YGLXkWMYeQaDroj65dr2oPp92JH1Dr7g8QlM8XhDHXFs7Wq5d5xeMACOgDQSYYLUxDkat8Mp3EeT6vv8kcb22tUakZpns8Ty96voo7U7ZRBVNpUbr8oeMACOgPgJMsOqPgVEL4srCaZz7P2m02+PiunP2UZrl4yAIFzFfkWyQhRFgBLSNABOsBscnvy7nmpuVT4E7zQ98UxArjrgi1xYLI8AI6AMBJliNjNOBAwfomWeeofvvv4+emfmIINRl4XPF8+LgmRRc7KMRS9kMRoARMBUBJlhTkZKxnIuLCw0YMKDbY6DD3TTHdzydzz0jY8usmhFgBOREgAlWTnRN1D1z5sxu5Aqyve2u30uabttEU7gYI8AISIgAE6yEYFqqas6cOT0I9t5777VUHddjBBgBjSDABKuBgQgICOhBsGvWrNGAZWwCI8AIWIMAE6w16ElY19vbm6ZNm0ajRo2inTt3SqiZVTECjIBaCDDBqoU8t8sIMAI2jwATrM0PMXeQEWAE1EKACVYt5LldRoARsHkEmGBtfoi5g4wAI6AWAkywaiHP7TICjIDNI8AEa/NDzB1kBBgBtRBgglULeW6XEWAEbB4BJlibH2LuICPACKiFABOsWshzu4wAI2DzCDDB2vwQcwcZAUZALQSYYNVCnttlBBgBm0eACdbmh5g7yAgwAmohwASrFvLcLiPACNg8AkywNj/E3EFGgBFQCwEmWLWQ53YZAUbA5hFggrX5IeYOMgKMgFoIMMGqhTy3ywgwAjaPABOszQ8xd5ARYATUQoAJVi3kuV1GgBGweQSYYG1+iLmDjAAjoBYCTLBqIc/tMgKMgM0j8P8BB4EOjl3/gtcAAAAASUVORK5CYII=[/img][br][br]Where is the center of this dilation?
Here is a quadrilateral.
Dilate quadrilateral [math]ABCD[/math] using center [math]A[/math] and scale factor [math]\frac{1}{2}[/math].
Triangle ABC is dilated.
The image is [math]A'B'C'[/math], find the value of [math]x[/math]. [br][br][img]data:image/png;base64,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[/img]
Polygon Q is a scaled copy of Polygon P.
[img]data:image/png;base64,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[/img][br][br]The value of [math]x[/math] is 6, what is the value of [math]y[/math]?
Solve the equation.
[math]\frac{2}{5}=\frac{x}{20}[/math]
[math]\frac{2}{3}=\frac{x}{10}[/math]
WXYZ is a kite.
[img]data:image/png;base64,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[/img][br][br]Angle [math]WXY[/math] has a measure of 94 degrees and angle [math]ZYX[/math] has a measure of 60 degrees. Find the measure of angle [math]ZWY[/math].
The semaphore alphabet is a way to use flags to signal messages.
Here's how to signal the letter U. Describe a transformation that would take the right hand flag to the left hand flag.[br][br][img]data:image/png;base64,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[/img]

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