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G-SRT.1.a Warmup M2-045-A08-V04

Verify that dilations send non-center-passing lines to parallel lines and leave center-passing lines unchanged.

Find the image equation of a line under dilation from the origin

Problem

A line \(y=-3x\) is dilated by center \((0,0)\) with scale factor \(4\). What is the equation of its image?

Unworked dilation setup showing only the supplied center, source object, target if stated, and scale factor. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.1.a
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Verify that dilations send non-center-passing lines to parallel lines and leave center-passing lines unchanged.
Problem type
Find the image equation of a line under dilation from the origin