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In Each of the Given Pairs of Triangles, Find Which Pair of Triangles Are Similar. State the Similarity Criterion and Write the Similarity Relation in Symbolic Form:

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Question

In each of the given pairs of triangles, find which pair of triangles are similar. State the similarity criterion and write the similarity relation in symbolic form: 

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Solution

We have: 

`CA/QR=8/6=4/3` and `6/4.5=4/3` 

⟹ `(CA)/(QR)=(CB)/(PQ)`
Also, ∠ACB = ∠PQR = 80°
Therefore, by SAS similarity theorem, Δ ACB - Δ RQP. 

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