Question

congruent triangles (topic 5)
which theorem shows △qmp≅△rnp?
o sas
o aas
o none of the above
o asa

Explanation:

Step1: Identify equal - parts

We see that $\angle QMP=\angle RNP$ (vertically - opposite angles are equal), $\angle Q=\angle R$ (marked as equal in the figure), and $MP = NP$ (marked with one dash on each side).

Step2: Recall congruence theorems

The Angle - Angle - Side (AAS) congruence theorem states that if two angles and a non - included side of one triangle are congruent to two angles and the corresponding non - included side of another triangle, then the two triangles are congruent. Here, we have two angles ($\angle Q=\angle R$ and $\angle QMP=\angle RNP$) and a non - included side ($MP = NP$).

Answer:

B. AAS