Problem preview
G-C.1 Warmup M2-029-A10-V01

Prove that all circles are similar.

Complete a missing step in a circle-similarity proof

Problem

Complete this proof step about circle similarity: Circle \(A\) has radius \(4\) and circle \(B\) has radius \(12\). After aligning centers, dilate by .

Big Picture

What this problem is really about

A circle-similarity proof separates position from size: first align the centers, then scale every radius from that shared point. We’ll form the target-to-source radius ratio and verify that the resulting dilation sends the source radius exactly to the target radius.

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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-C.1
Category
Geometry
Domain
Circles
Objective
Prove that all circles are similar.
Problem type
Complete a missing step in a circle-similarity proof