Question

Can you prove only based on what is marked, that the triangles are congruent? If so, which triangle congruence theorem would you use? Explain how.

Answer 1

They are congruent by the HL congruence theorem

Explanation

Given:

• Triangles MPQ and NPQ are right triangles

,

• The hypotenuses of both triangles are congruent (MP is congruent to NP)

,

• The leg PQ in MPQ is congruent to the leg PQ in NPQ

Then, applying the hypotenuse-leg (HL) congruence theorem, triangles MPQ and NPQ are congruent