We can use a straightedge and compass to construct geometric figures, such as angles, triangles, regular n-gon, and others. In this case, measuring instruments such as a ruler and a protractor are not permitted.
A ruler can be used if and only if its markings are not used. Below, find a variety of important constructions in geometry.
Bisecting and copying angles
Bisecting an angle
Learn how to bisect a given angle. Nice and fully illustrated demonstration.
Copying an angle
Learn how to copy any angle. In other words, you will construct an angle congruent to a given angle. Learn to do this with ease using step by step guidelines.
Constructing perpendiculars and midpoint of a segment
Constructing perpendiculars
Learn how construct a line perpendicular to another line through a point on the line or not on line.
Constructing the midpoint of a segment
Learn how to use only a ruler and a compass to get the midpoint of a segment.
Constructing triangles
Constructing an equilateral triangle
Learn how construct an equilateral triangle given the length of any segment.
Constructing an isosceles triangle
Learn how construct an isosceles triangle given the lengths of two congruent segments.
Constructing quadrilaterals
How to construct a square
Learn how to construct a square using a straightedge and a compass.
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Basic math formulas
Algebra word problems