Question

Use the drop-down menus to choose the responses that make each statement true. The two triangles are ______. This can be proved because segment BE is created by dilating segment CD, which means that ______. This fact can be used to prove ______ angles are congruent.

1) similar
2) congruent
3) parallel
4) perpendicular
5) the triangles have equal areas
6) the triangles have equal perimeters
7) the triangles have equal side lengths
8) the triangles have equal angles

Answer 1

The two triangles are similar and have equal side lengths. This can be proved by dilating one segment to create another segment of equal length. The fact that the triangles have equal side lengths can be used to prove that they have equal angles.

Step-by-step explanation:

The two triangles are similar. This can be proved because segment BE is created by dilating segment CD, which means that the triangles have equal side lengths. This fact can be used to prove the triangles have equal angles.