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G-CO.3 Warmup M1-038-A01-V01

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

Identify reflection symmetry lines for a rectangle or square

Problem

Identify the lines of reflection symmetry for a non-square rectangle centered at the origin with horizontal and vertical sides.

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

A reflection axis must pair every point of the figure with another point of the same figure. We’ll start at the rectangle’s center, test the midlines that exchange equal halves, and then use the unequal length and width to decide whether a diagonal reflection could also make the outline coincide.

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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
Identify reflection symmetry lines for a rectangle or square