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G-SRT.1.a Warmup M2-045-A09-V04

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

Use dilation to reason about parallel relationships in a figure

Problem

In a figure, points \(P\) and \(Q\) lie on the same line as the center of dilation \(O\). A dilation centered at \(O\) maps segment \(PQ\) to \(P'Q'\). What conclusion can you make about the image line or segment?

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
Use dilation to reason about parallel relationships in a figure