Geometric Constructions

Construct geometric figures step by step with a compass and straightedge.

Perpendicular Bisector

Construct the perpendicular bisector of a segment and use it to find a point equidistant from two points.

Construct an angle bisector and use it to find a point equidistant from two sides.

Construct a perpendicular through a point on a line and from a point outside the line.

Use an equilateral triangle and an angle bisector to construct a 30° angle.

Construct a tangent to a circle at a point on the circumference.

Construct point P on line ℓ so that AP + PB is as short as possible.