Geometric Constructions

An angle bisector is a line or ray that divides an angle into two equal parts.

Two lines are parallel if they are in the same plane and do not intersect, no matter how far they are extended.

A perpendicular line is a line that intersects another line at a right angle (90 degrees).

A perpendicular bisector is a line that divides a line segment into two equal parts at a right angle.

Congruent angles are angles that have the same measure.

The purpose of constructing an angle bisector is to create two angles that are equal in measure.

The midpoint of a line segment is the point that divides the segment into two equal lengths.

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

To construct a parallel line to a point not on a given line, use a compass and straightedge to create a line that never intersects the original line.

Corresponding angles are formed when a transversal crosses two parallel lines; they are equal in measure.