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. Eliminate 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

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

Answer 2

Answer : the triangles could have the same shape but not necessarily the same size.

Given two triangles with three corresponding angles that are congruent,

Two triangles are congruent when the corresponding sides and the corresponding angles are equal.

Given the three corresponding angles are congruent. There is no information about corresponding sides. So the size of triangles may vary.

Hence , the triangles could have the same shape but not necessarily the same size.