Problem preview
G-CO.3 Warmup M1-038-A09-V03

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

Compare the symmetries of related quadrilaterals

Problem

Compare an isosceles trapezoid with distinct bases to a trapezoid with exactly \(\text{one}~\text{pair}\) of parallel sides that is not isosceles. For each, identify reflection-axis count/type and nonzero rotations below \(360°\); then identify the isosceles-only symmetry.

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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
Compare the symmetries of related quadrilaterals