Problem preview

G-CO.6 Warmup M1-041-A08-V04

Use rigid motions to transform figures and decide whether two figures are congruent.

Distinguish congruent figures from merely similar figures

Problem

Based on this description, are the figures congruent or only similar: \(\text{one}\) figure can be reflected across a line and then translated to match the other exactly, with all side lengths and angles staying the same?

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The figures are congruent because a reflection and a translation are rigid motions that keep side lengths and angles the same.

The figures are not congruent because reflecting changes the orientation of the figure.

The figures are only similar because translating a figure moves it to a different location.

The figures are only similar because a reflection flips the figure, so it is not congruent to the original.

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Curriculum context

Course: Math I
Standard: G-CO.6
Category: Geometry
Domain: Congruence
Objective: Use rigid motions to transform figures and decide whether two figures are congruent.
Problem type: Distinguish congruent figures from merely similar figures