Question

ngruence in Right Triangles 1. Explain why the following pair of triangles cannot be proven congruent even though they have three pairs of corresponding = parts. (AD = AB, AC = AC, m_B = m2D) (2 pts)

Answer 1

Two triangles are congruent if they have the same 3 sides and the same 3 angles.

Another way to prove that two triangles are congruent is if they have 2 equal sides and the angle between those sides is equal too.

In this case, we have 2 equal sides and equal angles but the angles are not the angles formed by those sides. So, we can't prove that they are congruent.

Answer: The angle B is not the angles formed by sides AB and AC and the angle D is not the angle formed by sides AD and AC.