Question

4-6: lesson quiz (exit when all vertices coincide, there exists a rigid transformation that maps one triangle to the other. by definition, the triangles are choose... choose... congruent. isosceles. not congruent. dilated.

Explanation:

To determine the correct term, we recall the definition of congruent triangles: Triangles are congruent if there exists a rigid transformation (translation, rotation, reflection) that maps one triangle onto the other. The problem states "when all vertices coincide" and a rigid transformation exists to map one to the other, so by definition, they are congruent. "Isosceles" refers to a triangle with two equal sides, not related to the mapping here. "Not congruent" contradicts the existence of a rigid transformation. "Dilated" involves a non - rigid transformation (scaling), so it's not applicable.

Answer:

congruent.