Question

Given two triangles with three corresponding angles that are congruent, why can't the two triangles be proved congruent? A) Given three congruent angles, only the longest side can be congruent. B) Given three congruent angles, only the shortest side can be congruent. C) The triangles could have the same shape but not necessarily the same size. D) The triangles could have the same size but not necessarily the same shape.

Answer 1

The answer is the triangles  could have the same shape( that is all the angles are equal) but the sides  may not be the same length . Thay are similar but not necessarily congruent.

C is the correct choice.

Answer 2

Answer:

C) The triangles could have the same shape but not necessarily the same size.

Step-by-step explanation:

If the three angles of one triangle are congruent to the three corresponding angles of another triangle, then the two triangles are similar.

Similar triangles are triangles with the same shape but not necessarily the same size.

This means the correct answer is that the triangles could have the same shape but not necessarily the same size.