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Math Clip Art--Geometry Basics--Regular Polygon 17

Math Clip Art--Geometry Basics--Regular Polygon 17

Constructing a Regular Triangle - Step 12

Topic

Geometry Basics

Description

This math clip art image is part of the series on regular polygons, illustrating Step 12 in the construction of an equilateral triangle. The image emphasizes that the inscribed triangle within the circle is equilateral. This visual representation is crucial in demonstrating how circular properties guarantee the formation of a regular polygon.

By highlighting the equilateral nature of the inscribed triangle, this clip art reinforces the connection between circle geometry and regular polygons. It shows students how the properties of a circle, when applied correctly in construction, naturally lead to the creation of regular shapes with equal sides and angles.

Teacher's Script: "Let's focus on the triangle inscribed in our circle. What do you notice about its sides and angles? That's right - they're all equal. This is a perfect equilateral triangle. Can you explain why our construction method guarantees this result? Think about the radii of the circle and how they relate to the sides of the triangle. This relationship between circles and regular polygons is a powerful tool in geometry, allowing us to construct perfect shapes with precision."

For a complete collection of math clip art related to Regular Polygons click on this link: Geometry Basics: Regular Polygons Collection.

Common Core Standards CCSS.MATH.CONTENT.3.MD.D.8
Grade Range 3 - 5
Curriculum Nodes Geometry
    • Polygons
        • Definition of a Polygon
Copyright Year 2021
Keywords polygons, regular polygons, geometric constructions