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Construct Shapes

Videos and lessons to help High School students learn how to construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

Common Core: HSG-CO.D.13

Constructing an Equilateral Triangle
Using compass and straightedge to construct an equilateral triangle.

Constructing an equilateral triangle inscribed in a circle
How to construct an equilateral triangle inscribed in a circle using a safety compass.

Geometric Constructions - The Square
How to construct a square inscribed in a circle using only a compass and straightedge.

Regular Hexagon Construction
How to use a compass and straightedge to construct a regular hexagon inscribed in a circle.

Square From Diagonal Using Compass and Straight-edge
Given a line segment as the diagonal of a square, construct the square.
Let A-C be the given diagonal.
Step - 1 With A-C as radius and with centers as A & C respectively draw two circles.
Step - 2 Find the points of Intersection of these two circles. Line connecting these is perpendicular bisector of A-C.
Step - 3 with center as center point of A-C draw a circle passing through A & C. Find points of inter-section of this circle with perpendicular bisector of A -C. These are the vertices of square namely B &
Step - 4 Complete the square A-B-C-D and hide all construction lines.

Regular Hexagon Construction

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