Question

mark constructed $overleftrightarrow{ce}$ parallel to $overleftrightarrow{ab}$ through point $c$. which of the following statements best justifies why $overleftrightarrow{ce}$ is parallel to $overleftrightarrow{ab}$? choose 1 answer a lines perpendicular to the same transversal are parallel. b lines with congruent same - side interior angles are parallel. c lines with congruent alternate interior angles are parallel. d lines with congruent corresponding angles are parallel.

Explanation:

When constructing a parallel line, we use the property that when a transversal intersects two lines, if the alternate - interior angles are congruent, the two lines are parallel. In the construction of a line parallel to another through a point, we create congruent alternate - interior angles.

Answer:

C. Lines with congruent alternate interior angles are parallel.