Answer
They are congruent by the HL congruence theorem
Step-by-step 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
