Question

in the diagram, \\( \triangle pmn \cong \triangle qsr \\).
if \\( qr = 20 \\) in., \\( rs = 7 \\) in., and \\( sq = 24 \\) in., what is
pn?
\\( \bigcirc 3 \\) in.
\\( \bigcirc 7 \\) in.
\\( \bigcirc 20 \\) in.
\\( \bigcirc 24 \\) in.
figure may not be drawn to scale.

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle PMN\cong\triangle QSR\), corresponding sides are equal.

Step2: Identify corresponding sides

In congruent triangles \(\triangle PMN\) and \(\triangle QSR\), \(PN\) corresponds to \(RS\).

Answer:

\(7\) in.