Question

problem 14. (first taught in lesson 23) from this given statement, select the definition, property, postulate, or theorem that justifies the prove statement. given: $overline{mn}paralleloverline{lo}$ prove: $angle{omn}congangle{lom}$ a b c d e if two parallel lines are cut by a transversal, then their corresponding angles are congruent.

Explanation:

Given $\overline{MN}\parallel\overline{LO}$, $\angle OMN$ and $\angle LOM$ are alternate - interior angles. The statement in option A (corresponding - angles postulate for parallel lines cut by a transversal) is relevant as it is a fundamental property in geometry for parallel lines and transversals which helps in proving angle - congruence relationships.

Answer:

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