Geometric Constructions

A construction that creates a line parallel to a given line through a specified point that does not lie on the line.

A line that divides an angle into two equal parts.

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

To create a line that intersects the given line at a right angle through the specified point.

To draw a line that divides the angle into two equal angles.

The point that divides a line segment into two equal lengths.

By finding the midpoint of the segment and drawing a line perpendicular to the segment at that midpoint.

They are angles that are in the same position on different parallel lines cut by a transversal, and they are equal.

A perpendicular line drawn 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 segments at a right angle.