Show whether or not each pair of triangles is similar. Show: Are angles ≅ and sides proportional. Justify...

Question

Show whether or not each pair of triangles is similar.
Show: Are angles ≅ and sides proportional.
Justify your answer and complete a similarity statement when the triangles are similar.
[Diagram: AB = 15, AC = 20, BC = 8, BD = 6, DC = 3.2.]
Are Δ's Similar? Similarity Ratio = ___ Δ ACB ~ Δ ___ by: ___

SnapAndSolve AI · Accepted Answer

Yes, the triangles are similar. AC/BC = 20/8 = 5/2, CB/CD = 8/3.2 = 5/2, and AB/BD = 15/6 = 5/2. All three pairs of corresponding sides are proportional, so ΔACB ∼ ΔBCD by SSS similarity. The similarity ratio is 5:2. Corresponding angles are congruent: ∠CAB ≅ ∠CBD, ∠ACB ≅ ∠BCD, and ∠ABC ≅ ∠BDC.

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Show whether or not each pair of triangles is similar. Show: Are angles ≅ and sides proportional. Justify...

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