Problem preview
G-CO.4 Warmup M1-039-A06-V01

Define rotations, reflections, and translations using geometric language: angles, circles, perpendicular/parallel lines, and segments.

Find the translation vector from a point and its image

Problem

Find the translation vector that maps \((1,~4)\) to \((6,~2)\).

Big Picture

What this problem is really about

A translation vector records the directed change from source to image, so subtraction order matters. Compute image x minus source x and image y minus source y, keep the horizontal component first, and use each sign to check the movement’s direction before writing the ordered vector.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-CO.4
Category
Geometry
Domain
Congruence
Objective
Define rotations, reflections, and translations using geometric language: angles, circles, perpendicular/parallel lines, and segments.
Problem type
Find the translation vector from a point and its image