Question

in the diagram, δpmn ≅ δqsr. if qr = 20 in., rs = 7 in., and sq = 24 in., what is pn?
○ 3 in.
○ 7 in.
○ 20 in.
○ 24 in.
figure may not be drawn to scale.

Explanation:

Step1: Recall congruent triangles property

If two triangles are congruent, their corresponding sides are equal. So, in $\triangle PMN \cong \triangle QSR$, the corresponding sides $PN$ and $QR$ should be equal.

Step2: Identify the length of QR

Given $QR = 20$ in. Since $PN$ corresponds to $QR$ (from congruent triangles), $PN = QR$.

Answer:

20 in.