Question

Are the two triangles similar?

A. NO
B. yes; by AA ~
C. yes; by SAS ~
D. yes; by SSS ~

Answer 1

Option B Yes by AAA

Explanation:

we know that

If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

so

`(HM)/(MK)=(GM)/(MJ)`

substitute the values and verify

`(8)/(12)=(6)/(9)`

simplify

`(2)/(3)=(2)/(3)` -------> is true

therefore

The triangles are similar by AAA------> the three angles are congruent