If two of the three pairs of corresponding angles of a triangle have the same measure, then the triangles are:
A)similar.
B)congruent.
C)equivalent.
D)identical.

Question

Quizplus · Accepted Answer

If two pairs of corresponding angles in two triangles are equal, then the third pair of corresponding angles must also be equal (as angles in a triangle add up to 180 degrees). Therefore, the two triangles have all three pairs of corresponding angles equal, making them similar. Congruent triangles require all sides and angles to be equal, while equivalent triangles have the same area but may not have equal angles or sides. Identical triangles are the exact same triangle.

If Two of the Three Pairs of Corresponding Angles of a Triangle