Geometry - 5.5 Using Auxiliary Lines in Proofs

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Draw a segment between 2 points (ex. Construct AB)

Two points determine a line

Create a midpoint (e. Construct M, the midpoint of AB)

A segment has exactly one midpoint

Draw a line parallel to another line that already exists (ex. Construct a line through A that is parallel to BC)

Parallel Postulate

Draw a line perpendicular to another line that already exists (ex. Construct a line through A that is perpendicular to BC)

Perpendicular Postulate

Label a point of intersection (ex. Construct X, the intersection of AB and the line that bisects angleXYZ)

Two lines intersect as a point