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G-CO.7 Warmup M1-042-A02-V02

Use rigid motions to show triangle congruence through corresponding sides and angles.

Give a rigid-motion sequence mapping one triangle to another

Problem

Infer the unique motion from this allowed one-step family: translations, reflections across the coordinate axes, and \(90°/180°/270°\) rotations about the origin. It maps \(P(1,1)\to~X(-1,1)\), \(Q(4,1)\to~Y(-4,1)\), and \(R(1,3)\to~Z(-1,3)\).

Source and target triangles: P(1,1)→X(-1,1), Q(4,1)→Y(-4,1), R(1,3)→Z(-1,3). Open full size
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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-CO.7
Category
Geometry
Domain
Congruence
Objective
Use rigid motions to show triangle congruence through corresponding sides and angles.
Problem type
Give a rigid-motion sequence mapping one triangle to another