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in Triangles by (34.5k points)
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Observe the given figures and name the criterion of similarity.

(A) AAA 

(B) ASA 

(C) SAS 

(D) No similarity

2 Answers

+1 vote
by (57.0k points)
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Best answer

Correct option is (D) No similarity

Given that : In \(\triangle PQR,\) PQ = 6, QR = 10 & \(\angle PQR=90^\circ\)

& In \(\triangle LMN,\) LM = 3, MN = 4 & \(\angle LMN=90^\circ\)

\(\because\) \(\frac{PQ}{LM}=\frac63=\frac21\)

\(\frac{QR}{MN}=\frac{10}4=2.5\)

\(\because2\neq2.5\)

\(\therefore\) \(\frac{PQ}{LM}\neq\frac{QR}{MN}\)

\(\therefore\) \(\triangle PQR\) is not similar to \(\triangle LMN.\)

Hence, there is no similarity between both triangles.

+1 vote
by (35.6k points)

Correct option is: (D) No similarity

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