Question

complete each congruence statement:
a) \\( \triangle d e f \cong \triangle y x z \\) \\( \overline{e f} \cong \\)
b) \\( \triangle l m n \cong \triangle p q r \\) \\( \angle m \cong \\)
c) \\( \triangle a b c \cong \triangle f g h \\) \\( \angle f \cong \\)
d) \\( \triangle s t u \cong \triangle x y z \\) \\( \overline{s t} \cong \\)

Explanation:

Step1: Analyze congruent triangles for part A

In \(\triangle DEF\cong\triangle YXZ\), corresponding sides: \(EF\) corresponds to \(XZ\). So \(\overline{EF}\cong\overline{XZ}\).

Step2: Analyze congruent triangles for part B

In \(\triangle LMN\cong\triangle PQR\), corresponding angles: \(\angle M\) corresponds to \(\angle Q\). So \(\angle M\cong\angle Q\).

Step3: Analyze congruent triangles for part C

In \(\triangle ABC\cong\triangle FGH\), corresponding angles: \(\angle F\) corresponds to \(\angle A\). So \(\angle F\cong\angle A\).

Step4: Analyze congruent triangles for part D

In \(\triangle STU\cong\triangle XYZ\), corresponding sides: \(ST\) corresponds to \(XY\). So \(\overline{ST}\cong\overline{XY}\).

Answer:

A. \(\overline{XZ}\)
B. \(\angle Q\)
C. \(\angle A\)
D. \(\overline{XY}\)