Question

the two triangles created by the diagonal of the parallelogram are congruent. recall that the opposite sides of a parallelogram are congruent which transformation(s) could map one triangle to the other? reflection translation reflection and translation rotation and translation

Explanation:

A reflection over the diagonal of the parallelogram can map one triangle to the other. A translation alone cannot do this as it just slides the figure. A rotation and translation would change the orientation and position in a way not applicable here. Since the two triangles are mirror - images across the diagonal (due to the properties of a parallelogram: opposite sides congruent), reflection is the correct transformation.

Answer:

reflection