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
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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