In the diagram, ΔPMN ≅ ΔQSR.
If QR = 20 in., RS = 7 in., and SQ = 24 in., what is PN?

Answer: PN = 20 in.
Step-by-step explanation:
In the diagram two congruent triangles are given ΔPMN ≅ ΔQSR.
So by CPCTC (corresponding parts of congruent triangles are congruent)
In ΔPMN and ΔQSR
PN=QR=20 in.
PM=SQ=24 in.
MN=RS= 7 in.
Congruent triangles are the triangles of which all the sides and all the angles are congruent.