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G-CO.2 Warmup M1-037-A06-V02

Represent transformations as functions on points and compare distance/angle-preserving transformations with non-rigid transformations.

Determine whether a transformation preserves angle measure

Problem

Does a \(180°\) rotation about a fixed center preserve the measure of every angle in every figure?

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all angle measures preserved = yes; category = similarity but not rigid; lengths preserved = no

all angle measures preserved = yes; category = translation; lengths preserved = yes

all angle measures preserved = no; category = non-rigid turn; lengths preserved = no

all angle measures preserved = yes; category = rigid motion and similarity transformation; lengths preserved = yes

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Curriculum context

Course: Math I
Standard: G-CO.2
Category: Geometry
Domain: Congruence
Objective: Represent transformations as functions on points and compare distance/angle-preserving transformations with non-rigid transformations.
Problem type: Determine whether a transformation preserves angle measure