Question

Given that NP/NQ=NM/NR, select the postulate or theorem that you can use to conclude that the triangles are similar?

Answer 1

In this question, the ratio of corresponding sides are in same proportion. That is

$\frac{NP}{NQ} = \frac{NM}{NR}$

Here the corresponding sides are NP , NQ and NM , NR and the included angle is angle N .

So the two triangles are similar by SAS and out of the 4 options, correct option is the second option .

Answer 2

given 2 sides are in same ratio plus a common angle, similarity is proven by SAS.