Constructions using a right angle

Constructions using a right angle involve creating lines or figures where two lines meet at exactly 90 degrees. The most common constructions are: (1) constructing a perpendicular to a given line from a point on or off the line, and (2) constructing a square or rectangle using right angles.

Important properties

• A right angle measures exactly 90 degrees.

• Perpendicular lines intersect at a right angle.

• A compass and straightedge can be used to construct right angles without measuring.

• The perpendicular bisector of a segment creates two right angles at the midpoint.