Geometric Constructions

A line segment is a part of a line that is bounded by two distinct endpoints.

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

The purpose is to divide a line segment into two equal parts at a right angle.

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

To construct a perpendicular line to a point not on the line, use a compass to draw arcs from the point and intersect them with the line, then connect the point to the intersection.

Parallel lines are lines in a plane that never meet and are always the same distance apart.

To construct a square, draw a line segment, then use a compass to create right angles at each endpoint and equal lengths for the other sides.

Corresponding angles are equal when a transversal crosses parallel lines, which helps in proving lines are parallel.

To construct a parallel line to a point on a line, use a straightedge and a compass to replicate the distance from the point to the line.

A ray has one endpoint and extends infinitely in one direction, while a line segment has two endpoints and is finite.