11.2 Proving Figures Similar using Transformations Date: 1/23...

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  • 11.2 Proving Figures Similar using Transformations Date: A similarity transformation is a transformation in which an image has the same shape as its pre-image. Are congruent figures similar figures? Are all circles similar? Ex. 1 Determine whether the figures are similar using similarity transformations. (All parts are labeled pre-image and image) a) b) c)𝑃𝑄𝑅𝑆 π‘Žπ‘›π‘‘ π‘Šπ‘‹π‘Œπ‘ d) 𝐿𝑀𝑁𝑂and 𝐺𝐻𝐽𝐾 e)𝐢𝐷𝐸𝐹 π‘Žπ‘›π‘‘ π‘‡π‘ˆπ‘‰πΉ f) 𝐽𝐾𝐿𝑀𝑁 π‘Žπ‘›π‘‘ π½π‘ƒπ‘„π‘…π‘ˆ

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  • Ex. 2 For each pair of similar figures, find a sequence of similarity transformations that maps one figure to the other. Use coordinate notation to describe the transformations. a)𝐴𝐡𝐷𝐢 π‘‘π‘œ 𝐸𝐹𝐻𝐺 b) βˆ†π½πΎπΏ π‘‘π‘œ βˆ†π‘ƒπ‘„π‘… c)𝑃𝑄𝑅𝑆 π‘‘π‘œ π‘‡π‘ˆπ‘‰π‘Š c) d) 𝐽𝐾𝐿𝑀𝑁 π‘‘π‘œ π‘‰π‘Šπ‘‹π‘Œπ‘ e) βˆ†π΄π΅πΆ π‘‘π‘œ βˆ†π·πΈπΉ f) f) g) Map 𝐴𝐡𝐢𝐷 π‘‘π‘œ 𝐽𝐾𝐿𝑀 h) Map βˆ†π½πΎπΏ π‘‘π‘œ βˆ†π‘ƒπ‘„π‘…

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