Question

from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: \\( l _ { 1 } \parallel l _ { 2 } \\) prove: \\( \angle 1 \cong \angle 5 \\) a if two parallel lines are cut by a trans - versal, then their corresponding angles are congruent.

Explanation:

The problem involves parallel lines \( l_1\parallel l_2 \) cut by a transversal. We need to justify \( \angle1\cong\angle5 \).

• Corresponding Angles: When two parallel lines are cut by a transversal, corresponding angles are congruent. \( \angle1 \) and \( \angle5 \) are corresponding angles.

Answer:

A. If two parallel lines are cut by a trans - versal, then their corresponding angles are congruent.