Question

Triangle DEF is congruent to GHJ by the SSS theorem. Which rigid transformation is required to map DEF onto GHJ?

Answer 1

Answer: Translation.

Explanation:

Given: Triangle DEF is congruent to triangle GHJ by the SSS theorem.

We know that the corresponding parts of congruent triangles are congruent.

Thus, Vertex D in ΔDEF is corresponds vertex G in ΔGHJ.

Vertex E in ΔDEF is corresponds vertex H in ΔGHJ.

Vertex F in ΔDEF is corresponds vertex J in ΔGHJ.

We can see that there is equal distance between the corresponding points.

The rigid motion which moves a shape in a particular distance in same direction is known as translation .

Hence, the rigid transformation is required to map DEF onto GHJ is translation.

Answer 2

Hello!

The rigid transformation required to map triangle DEF onto triangle GHJ is achieved by using translations. Translations do not alter the shape of the triangle, but moves its location on the graph.