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Benchmark 37 I can identify two triangles as similar using SSS, SAS, or AA triangle proportionality theorem.

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Review Similar figures must have: _________ angles. ___________ sides. Congruent Proportionate

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Angle-Angle Similarity Postulate If two <‘s of a Δ are to two <‘s of another Δ, then the Δ’s are ~. A Z Y XC B If <A <X and<C <Z, then ΔABC~ΔXYZ

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Are the triangles similar? If so, write a similarity statement. 39 72 41 No 61 60 59 60 Yes A D C B F E R Z Y X T S ΔRST ΔXYZ

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Side-Angle-Side Similarity Thm. If an < of one Δ is to an < of another Δ, and the sides including the <‘s are proportionate, then the Δ’s are ~. A F E D C B If <A <D and AB DE AC DF = Then ΔABC~ΔDEF.

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Side-Side-Side Similarity Thm. If all corresponding sides of two Δ’s are in proportion, then the Δ’s are ~. A F E D C B If AB DE AC DF = Then ΔABC~ΔDEF. BC EF =

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