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 𝑎𝑛𝑑 𝑊𝑋𝑌𝑍 d) 𝐿𝑀𝑁𝑂and
𝐺𝐻𝐽𝐾 e)𝐶𝐷𝐸𝐹 𝑎𝑛𝑑 𝑇𝑈𝑉𝐹 f) 𝐽𝐾𝐿𝑀𝑁 𝑎𝑛𝑑 𝐽𝑃𝑄𝑅𝑈
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Center :F center :J
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)𝐴𝐵𝐷𝐶 𝑡𝑜 𝐸𝐹𝐻𝐺
b) ∆𝐽𝐾𝐿 𝑡𝑜 ∆𝑃𝑄𝑅 c)𝑃𝑄𝑅𝑆 𝑡𝑜 𝑇𝑈𝑉𝑊 c) d) 𝐽𝐾𝐿𝑀𝑁 𝑡𝑜 𝑉𝑊𝑋𝑌𝑍 e) ∆𝐴𝐵𝐶 𝑡𝑜 ∆𝐷𝐸𝐹
f) f) g) Map 𝐴𝐵𝐶𝐷 𝑡𝑜 𝐽𝐾𝐿𝑀 h) Map ∆𝐽𝐾𝐿 𝑡𝑜 ∆𝑃𝑄𝑅
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lxtty . 2)CD=r5LM=32t6T M¥=@ Ktb
,6)→f42)→f2,2)
