For this problem, (a,b) is a point in the x-y coordinate plane and r is a positive number.

Using a translation and a dilation, show how to transform the circle with radius r centered at (a,b) into the circle of radius 1 centered at (0,0) .

Explain how to use your work in part (a) to show that any two circles are similar.

A set of exercises, commentary, and solutions from Illustrative Mathematics

- Mathematics > General
- Mathematics > Geometry

- Grade 9
- Grade 10

Reason abstractly and quantitatively.

Construct viable arguments and critique the reasoning of others.

Attend to precision.

Look for and make use of structure.

Prove that all circles are similar.