what two transformations are shown to demonstrate that the triangles are congruent

Answer 1

In order to demonstrate that two triangles are congruent, we need to show that they have the same shape and size. Two transformations that can be used to demonstrate this are translation and reflection.

1. Translation: If we can move one of the triangles by shifting it horizontally or vertically, such that it perfectly aligns with the other triangle, then they are congruent. This translation transformation shows that the triangles have the same shape and size.

2. Reflection: If we can reflect one of the triangles across a line, creating a mirror image that perfectly overlaps with the other triangle, then they are congruent. This reflection transformation also shows that the triangles have the same shape and size.

By combining these two transformations, translation and reflection, we can demonstrate that the triangles are congruent.