Select the postulate or theorem that you can use to conclude that the triangles are similar. SSS Similarity Theorem AA Similarity Postulate SAS Similarity Theorem

Question

asked Apr 12, 2019 129k views

2 Answers

BlueFox · Answer 1 · 2019-04-15T18:13:20+0000

Answer: SSS Similarity Theorem

Explanation:

SSS Similarity Theorem says that the lengths of the corresponding sides of two triangles are proportional, then the triangles must be similar.

In the given picture , we have two triangles XYZ and KMN, where

(3)/(4.5)=(4)/(6)=(2)/(3)

$\Rightarrow\ (XZ)/(KN)=(ZY)/(MN)=(XY)/(KM)=(2)/(3)$

By SSS similarity theorem , we have

ΔXYZ ≅ ΔKMN