What is the sequence of transformations needed to mpve triangle ABC' to triangle EGH to

show that the triangles are congruent?

To show that triangles ABC' and EGH are congruent, you need to perform a sequence of transformations. The necessary transformations are:

1. Translation: Move point C' to point H by shifting it horizontally along the same line until it aligns with point H.

2. Rotation: Rotate the triangle such that side AB coincides with side EH. The rotation should be around the intersection point between AB and EH.

3. Reflection: Finally, reflect the triangle across the line formed by the intersection point of AB and EH. This would result in triangle EGH.

By following these three transformations in order, you would be able to map triangle ABC' to triangle EGH and demonstrate their congruence.