Question

Which postulate or theorem can be used to prove that △JKL is similar to △MKN?

A. SSS ​Similarity Theorem ​

B. ASA ​Similarity Theorem ​

C. AA ​Similarity Postulate ​

D. SAS ​Similarity Theorem

Answer 1

D) or SAS theorom hope this helps!

Answer 2

The correct option is D.

Explanation:

In triangle △JKL,

`(JK)/(KL)=(30)/(50)=(3)/(5)`

In triangle △MKN,

`(MK)/(KN)=(15)/(25)=(3)/(5)`

In triangle △JKL and △MKN

`(JK)/(KL)=(MK)/(KN)`

`\angle JKL=\angle MKN` (Vertically opposite angles)

Since two sides are proportional and an inclined angle is congruent, so by SAS theorem of similarity we get

`\triangle JKL=\triangle MKN`

Therefore option D is correct.