Question

If two triangles are congruent, which of the following statements must be

true?
A. The corresponding sides of the triangles are congruent.
B. The corresponding angles of the triangles are congruent.
C. The triangles have the same size and shape.
D. The triangles have the same size, but not the same shape.

Answer 1

If two triangles are congruent, the corresponding sides and angles of the triangles are congruent, and the triangles have the same size and shape.

Step-by-step explanation:

If two triangles are congruent, the following statements must be true:

1. The corresponding sides of the triangles are congruent. This means that the lengths of the corresponding sides of the triangles are equal.
2. The corresponding angles of the triangles are congruent. This means that the measures of the corresponding angles of the triangles are equal.
3. The triangles have the same size and shape. This means that the triangles are identical in shape and size.

Therefore, options A, B, and C are all true statements if two triangles are congruent.