Question

from the given statement, select the definition, property, postulate, or theorem that justifies the prove statement.
given: \\( \triangle uks \\) and \\( \angle u \cong \angle s \\)
prove: \\( \overline { uk } \cong \overline { ks } \\)
a b c d e
angle - side - angle

Explanation:

The Isosceles Triangle Theorem states that if two angles of a triangle are congruent, then the sides opposite those angles are congruent. In \(\triangle UKS\), since \(\angle U\cong\angle S\), by the Isosceles Triangle Theorem, the sides opposite these angles (\(\overline{UK}\) and \(\overline{KS}\)) are congruent.

Answer:

Isosceles Triangle Theorem.