Problem preview
G-CO.5 Warmup M1-040-A03-V01

Draw transformed figures and specify transformation sequences mapping one figure to another.

Reflect vertices over a shifted horizontal or vertical line

Problem

Reflect the vertices \(5,~1\); \(7,~3\); \(4,~-2\) across the line \(x=3\).

Big Picture

What this problem is really about

A shifted mirror line means ordinary sign-changing shortcuts about the axes no longer apply. Since this line is vertical, keep each vertical coordinate and place the new horizontal coordinate so the source and image average to the mirror’s x-value; that midpoint condition guarantees equal opposite distances.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-CO.5
Category
Geometry
Domain
Congruence
Objective
Draw transformed figures and specify transformation sequences mapping one figure to another.
Problem type
Reflect vertices over a shifted horizontal or vertical line