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G-SRT.1.a Warmup M2-045-A08-V03

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 \(y=2x+1\) is dilated by center \((0,0)\), \(k=2\). 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