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G-SRT.1.b Warmup M2-046-A02-V02

Verify that dilations scale line segments by the dilation scale factor.

Verify segment scaling using the distance formula

Problem

Preimage \(P(2,1)\), \(Q(6,1)\) is dilated to image \(P'(1,0.5)\), \(Q'(3,0.5)\). Use the distance formula to verify the scale factor.

Neutral coordinate reference listing P (2, 1), Q (6, 1), P prime (1, one-half), and Q prime (3, one-half), without segments, lengths, or a scale relationship. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.1.b
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Verify that dilations scale line segments by the dilation scale factor.
Problem type
Verify segment scaling using the distance formula