Would my answer be correct?

Question

Triangle ABC maps to A′B′C′ as shown.

Is triangle ABC congruent to triangle A′B′C′? Why, or why not?

 1.Yes, because a reflection is a rigid transformation 

2.No, because a reflection is not a rigid transformation 

3.Yes, because a translation is a rigid transformation

4. No, because a translation is not a rigid transformation

I say option 3 but I am not sure

Answer 1

Reflections, rotations, and translations are all rigid transformations, so the image is congruent to the original. Dilations are not rigid transformations; their image is similar to the original but not congruent to it.

Brenda's advice in her comment above is very good. Another approach is to verify that each point in the image has been translated by exactly the same amount. In the above figure, A' is translated down 8 units. If B' and C' are also translated down exactly 8 units from B and C, respectively, then A'B'C' is a translation of ABC down 8 units, and translations are rigid transformations. Check them out to verify.