Problem preview

G-CO.3 Warmup M1-038-A11-V04

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

Complete all lines of symmetry for a regular polygon

Problem

Count the reflection axes of a regular octagon through opposite vertex pairs and through opposite side midpoints, and give the total.

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vertex-pair axes = 8; midpoint axes = 8; total = 16

vertex-to-opposite-side-midpoint axes = 8; total = 8

vertex-pair axes = 4; midpoint axes = 0; total = 4

vertex-pair axes = 4; opposite-side-midpoint axes = 4; total reflection axes = 8

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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: Complete all lines of symmetry for a regular polygon