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.

Question

Mathematics

Martha Clay

19 January, 09:54

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.

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Answers (1)

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Arthur Decker · 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.