Question

congruent triangles abc and def are given.
which side is congruent to (overline{bc})?
(overline{de})
(overline{df})
(overline{ef})
(overline{ab})

Explanation:

Step1: Analyze congruent triangles properties

Congruent triangles have corresponding sides equal. For \(\triangle ABC\) and \(\triangle DEF\), \(\angle B=\angle E = 90^{\circ}\), \(\angle A=\angle F\), \(\angle C=\angle D\). So \(A\) corresponds to \(F\), \(B\) corresponds to \(E\), \(C\) corresponds to \(D\).

Step2: Find corresponding side of \(BC\)

Side \(BC\) in \(\triangle ABC\) has \(B\) and \(C\) vertices. Corresponding vertices in \(\triangle DEF\) are \(E\) and \(D\). So the side is \(DE\).

Answer:

\(\overline{DE}\)