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Select the postulate or theorem that you can use to conclude that the triangles are similar.

Select the postulate or theorem that you can use to conclude that the triangles are-example-1
User Ssynhtn
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1 Answer

4 votes

Answer: SAS similarity postulate

Explanation:

According to SAS postulate of similarity, two triangles are called similar if two sides in one triangle are in the same proportion to the corresponding sides in the other, and the included angle are congruent.

In triangles, QNR and MNP,


(QN)/(MN) = (QM+MN)/(MN) = (10+8)/(8) = (18)/(8) = (9)/(4)


(NR)/(NP) = (NP+NR)/(NP) = (10+8)/(8) = (18)/(8) = (9)/(4)


\implies (QN)/(MN) = (NR)/(NP)

Also,


\angle QNR\cong \angle MNP (Reflexive)

Thus, By SAS similarity postulate,


\triangle QNR\sim\triangle MNP

Option first is correct.

User Maryam Bahrami
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