Geometric Constructions
Grade 9β’45 minutesβ’Make formal geometric constructions with a variety of tools and methods, e.g., compass and straightedge, string, reflective devices, paper folding, or dynamic geometric software. Examples: Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
Learning Objective
I can construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle using geometric tools.
Practice Questions
This lesson includes 7 practice questions to reinforce learning.
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1. Describe the steps to inscribe a square inside a circle using a compass and straightedge.
2. Explain why the side length of an equilateral triangle inscribed in a circle is related to the radius of the circle.
3. Demonstrate how to construct a regular hexagon inscribed in a circle. Explain why this construction works (hint: think about the central angles).
...and 4 more questions
Educational Video
Geometry Constructions (15 Must Know Types) with Compass and Straightedge
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