Curriculum

#### Description:

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

#### Subjects:

• Mathematics > General
• Mathematics > Geometry

Similar circles

English

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Update Standards?

#### CCSS.Math.Practice.MP2: Common Core State Standards for Mathematics

Reason abstractly and quantitatively.

#### CCSS.Math.Practice.MP3: Common Core State Standards for Mathematics

Construct viable arguments and critique the reasoning of others.

#### CCSS.Math.Practice.MP6: Common Core State Standards for Mathematics

Attend to precision.

#### CCSS.Math.Practice.MP7: Common Core State Standards for Mathematics

Look for and make use of structure.

#### CCSS.Math.Content.HSG-C.A.1: Common Core State Standards for Mathematics

Prove that all circles are similar.
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