Question

Are the two figures congruent?

No, because all of the corresponding sides are unequal.
Yes, because AB = A’B’.
No, because the reflection of ABC is not congruent to A’B’C’.
Yes, because they are reflections of each other.

Answer 1

No, because the reflection of ABC is not congruent to A’B’C’.

Explanation:

we know that

The rule of the reflection across the line y=x is equal to

(x,y) -------> (y,x)

so

A(-6,6) -------> A'(6,-6) ----> is ok

B(-3,3) ------> B'(3,-3) ----> is ok

C(-8,2) ------> C'(8,-2) ----> is not ok ( is not a reflection acros the line y=x)

therefore

The triangles are no t congruent, because the reflection of ABC is not congruent to A’B’C’