Question

ame all the corresponding congruent angles and sides.
en, complete the triangle conguence statement.
(a) \\( \angle a \cong \angle \\) (b) \\( \overline { a b } \cong \\)
\\( \angle b \cong \angle \\) \\( \overline { a c } \cong \\)

Explanation:

Step1: Identify corresponding congruent angles

In congruent triangles, angles with the same markings and positions are congruent. In \(\triangle ABC\) and \(\triangle XYZ\), \(\angle A\) corresponds to \(\angle Y\) (both are the single - marked angles), \(\angle B\) corresponds to \(\angle X\) (both are the double - marked angles), and \(\angle C\) corresponds to \(\angle Z\) (both are the un - marked angles).

Step2: Identify corresponding congruent sides

In congruent triangles, sides with the same markings are congruent. \(\overline{AB}\) (with two marks) corresponds to \(\overline{XY}\) (with two marks), \(\overline{AC}\) (with three marks) corresponds to \(\overline{YZ}\) (with three marks).

Answer:

(a) \(\angle A\cong\angle Y\), \(\angle B\cong\angle X\), \(\angle C\cong\angle Z\)
(b) \(\overline{AB}\cong\overline{XY}\), \(\overline{AC}\cong\overline{YZ}\)