Problem preview
G-SRT.1.b Warmup M2-046-A09-V01

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

Determine whether transformation data could describe a dilation

Problem

Could this transformation data come from a dilation? All corresponding side ratios are \(2\), and the rays align from center \(O\).

Big Picture

What this problem is really about

Similar size alone does not identify one dilation; the transformation also needs a common radial center. We’ll test all corresponding lengths for one positive image-to-original factor, check that every point-image pair aligns on a ray from the same center, and combine those independent size and position conditions for the feasibility decision.

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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
Determine whether transformation data could describe a dilation