Geometric Constructions

A perpendicular bisector is a line that divides a line segment into two equal parts at a 90-degree angle.

An angle bisector is a line that divides an angle into two equal angles.

To construct a perpendicular line to a point on a line, use a compass to draw arcs from the point, then use the intersection points to draw a line through the original point.

To construct a parallel line to a point not on a line, use a straightedge to draw a line through the point that maintains the same angle as the given line.

Corresponding angles are angles that are in the same position on two parallel lines cut by a transversal.

A midpoint is the point that divides a line segment into two equal parts.

To construct the bisector of a given segment, draw arcs from both endpoints of the segment, then connect the intersection points of the arcs.

To construct the altitude of a triangle, draw a perpendicular line from a vertex to the opposite side.

An angle bisector divides an angle into two equal angles, while a perpendicular bisector divides a line segment into two equal parts at a right angle.

A straightedge and compass are used to create precise geometric figures and constructions without measuring tools.