Answer:
Option D. Side Angle Side Postulate
Step-by-step explanation:
we know that
The Side Angle Side postulate (SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent
In this problem we have that
MP≅NP
m∠MPQ≅m∠NPQ=90°
QP≅QP
That means
two sides and the included angle of triangle MPQ are congruent to two sides and the included angle of triangle NPQ
therefore
Triangle MPQ≅ Triangle NPQ ----> by SAS postulate
