Question

2

If two triangles are congruent, which of the following statements must be
true? Check all that apply.
A. The corresponding sides of the triangles are congruent.
B. The corresponding angles of the triangles are congruent.
C. The triangles have the same shape and size.
D. The triangles have the same shape, but not the same size.
SUBMIT

Answer 1

Answer: A, B, C

Explanation:

Congruence of any shape by definition means that the two shapes have the same shape and size. This applies even if the shapes are in different orientations, or if the two shapes are reflected versions of each other, as long as the points are named the same respective to their different orientations. If the two triangles are congruent, their corresponding sides and angles are also congruent, because they are the same shapes, they have the same corresponding sides and angles. If any of these are not true, this means that the shapes are not congruent.