Question

Are the two triangles similar? How do you know?

A. Yes, by SSS~
B. The triangles are not similar.
C. Yes, by SAS~
D. Yes, by AA~

Answer 1

D. Yes, by AA~   :):):):)

Answer 2

Option D

Yes. By AA~

Explanation:

Given are two lines JMG and HMK intersecting at M.

To check whether two triangles are similar

Consider the two triangles HMG and JMK

We are going to compare the angles of the two triangles

We have

Angle H = angle K =39 (given)

Angle HMG = Angle JMK (Vertically opposite angles)

Since two angles of a triangle are congruent the third angle also will be congruent

Thus we find that the two triangles have AAA congruence

Hence the two triangles are similar by AA~.