Question

question 10 of 10
if two triangles are congruent, which of the following statements must be true? check all that apply.
a. the triangles have the same shape, but not the same size.
b. the corresponding sides of the triangles are congruent.
c. the corresponding angles of the triangles are congruent.
d. the triangles have the same shape and size.

Explanation:

• Congruent triangles have all corresponding parts (sides and angles) equal. This means they have the same shape and size.
• Option A is incorrect because congruent triangles must have the same size.
• Option B is correct as corresponding sides of congruent triangles are congruent.
• Option C is correct as corresponding angles of congruent triangles are congruent.
• Option D is correct as congruent triangles have the same shape and size.

Answer:

B. The corresponding sides of the triangles are congruent, C. The corresponding angles of the triangles are congruent, D. The triangles have the same shape and size.