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G-CO.2 Warmup M1-037-A02-V01

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

Write a coordinate rule for reflection over the x-axis

Problem

Write the coordinate rule for reflection over the \(x\text{-}\text{axis}\).

Reflection is across the x-axis, and the source point is P(2,3). Open full size
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What this problem is really about

A reflection rule comes from the mirror line’s geometry, not from memorizing a random sign change. We’ll identify which coordinate measures position along the axis and which measures signed perpendicular distance, then preserve the first role while reversing the second and test the result on the displayed point.

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Four variants of this problem type
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
Write a coordinate rule for reflection over the x-axis