Question

the diagram shows the construction of $overleftrightarrow{ab}$ by copying an angle at point $p$. which statement explains why $overleftrightarrow{ab}$ is parallel to $overleftrightarrow{cd}$? a) the copied angles are congruent vertical angles, so the lines are parallel. b) the copied angles are congruent alternate interior angles, so the lines are parallel. c) the copied angles are congruent corresponding angles, so the lines are parallel. d) the copied angles are congruent supplementary angles, so the lines are parallel.

Explanation:

When an angle is copied to construct a line parallel to another, the copied angles are corresponding angles. If corresponding angles are congruent, then the two lines are parallel according to the corresponding - angles postulate.

Answer:

C. The copied angles are congruent corresponding angles, so the lines are parallel.