Constructing Parallel Lines - Concept

Concept Concept (1)

Constructing parallel lines with a compass and straightedge uses the converse of the parallel lines theorem. Creating congruent corresponding angles (or congruent AIA or AEA) guarantees parallel lines. The first step in constructing parallel lines is to draw a transversal through the given point to intersect the given line. Last, duplicate an angle created by the transversal and the given line.

Sample Sample Problems (3)

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Constructing Parallel Lines - Problem 1
Problem 1
How to construct parallel lines using corresponding angles.
Constructing Parallel Lines - Problem 2
Problem 2
How to construct parallel lines using alternate interior angles.
Constructing Parallel Lines - Problem 3
Problem 3
How to construct parallel lines using alternate exterior angles.