Question

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

Answer 1

Answer:

The correct option is D.

Step-by-step explanation:

In triangle △JKL,

$\frac{JK}{KL}=\frac{30}{50}=\frac{3}{5}$

In triangle △MKN,

$\frac{MK}{KN}=\frac{15}{25}=\frac{3}{5}$

In triangle △JKL and △MKN

$\frac{JK}{KL}=\frac{MK}{KN}$

$\angle JKL=\angle MKN$                       (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.

Answer 2

D) or SAS theorom hope this helps!