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G-C.1 Warmup M2-029-A04-V02

Prove that all circles are similar.

Map one circle by a specified translation-dilation composition

Problem

Describe the translation-then-dilation mapping from the circle centered at \(A\) with radius \(10\) to the circle centered at \(B\) with radius \(4\). Name the translation vector, form the target-to-source radius ratio, and verify the radius after dilation about \(B\).

Source and target circles: A has center A, radius 10; B has center B, radius 4. Open full size
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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
Map one circle by a specified translation-dilation composition