Unit

#### Description:

Prove the inscribed angle theorem: The measure of a central angle is twice the measure of any inscribed angle that intercepts the same arc as the central angle.Recognize and use different cases of the inscribed angle theorem embedded in diagrams. This includes recognizing and using the result that inscribed angles that intersect the same arc are equal in measure.Teacher and Student versions of full lesson from engageNY

#### Subjects:

• Mathematics > General
• Mathematics > Geometry

#### Keywords:

inscribed angles radii chords central circumscribed

English

#### Access Privileges:

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#### Collections:

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Update Standards?

#### CCSS.Math.Practice.MP1: Common Core State Standards for Mathematics

Make sense of problems and persevere in solving them.

#### 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.MP5: Common Core State Standards for Mathematics

Use appropriate tools strategically.

#### 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.2: Common Core State Standards for Mathematics

Identify and describe relationships among inscribed angles, radii, and chords.
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