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Two triangles with corresponding congruent angles are congruent. Is this statement true or false?

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Answer:

FALSE

Explanation:

For two triangles to be considered congruent to each other, their corresponding angles and their corresponding side lengths must be congruent to each other. That is all the sides and angles of one triangle must be equal to all the corresponding sides and corresponding angles of the other.

Therefore, knowing that two traingles have corresponding angles that are equal is not enough to conclude that they are congruent. It simply means they have the same shape, but may not have the same size, as their corresponding sides may vary.

Thus, the statement, "Two triangles with corresponding congruent angles are congruent" is FALSE.

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