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G-CO.3 Warmup M1-038-A05-V01

Describe rotations and reflections that carry rectangles, parallelograms, trapezoids, or regular polygons onto themselves.

Count and locate reflection symmetry lines of a regular polygon

Problem

Count and locate the reflection symmetries of a regular \(3\text{-}\text{gon}\).

Clean source shape or proposed symmetry without the requested conclusion. Open full size
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What this problem is really about

Regularity lets us generate reflection axes systematically instead of guessing at lines. Start at a vertex, pass through the center to the midpoint of the opposite side, and then carry that same construction around the polygon while counting each geometric line only once.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-CO.3
Category
Geometry
Domain
Congruence
Objective
Describe rotations and reflections that carry rectangles, parallelograms, trapezoids, or regular polygons onto themselves.
Problem type
Count and locate reflection symmetry lines of a regular polygon