Use similarity transformations to establish the AA similarity criterion.
Use parallel lines to establish AA similarity
Problem
Given \(DE~\parallel~BC\), compare triangles \(ADE\) and \(ABC\). Name \(\text{two}~\text{corresponding}-\angle~\text{pairs}\) created by the parallel lines, map the vertices consistently, and write the ordered similarity statement using \(AA\).
Parallel lines create the needed angle relationships only through the relevant transversals. We’ll identify the shared vertex angle, use the parallel segments to justify a second corresponding pair, record the resulting vertex map, and write the smaller and larger triangles in matching AA order.
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.
