Prove theorems about lines and angles: vertical angles, parallel-line angle relationships, and perpendicular bisectors.
Complete a proof involving lines, angles, or perpendicular bisectors
Problem
A transversal forms congruent alternate interior angles with lines \(\ell~\) and \(m\). Name the converse theorem that justifies the parallel-line conclusion and state that conclusion.
The proof begins with angle congruence and must establish a line relationship, so a forward theorem would run in the wrong direction. We’ll verify that the marked angles are interior and on opposite transversal sides, then use the converse whose hypothesis exactly matches that position and congruence.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
