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Use Angle Relationships of Circles

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Use Angle Relationships of Circles

TEKS Math: G.12.A

(A) Apply theorems about circles, including relationships among angles, radii, chords, tangents, and secants, to solve non-contextual problems

AU Math: ACMMG272

(Y10A) Prove and apply angle and chord properties of circles (ACMMG272)

CCSS Math: HSG.C.2

HSG.C.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

This circles lesson teaches students how to identify inscribed and circumscribed angles of a circle and to use the appropriate formula to determine the measure of the angle from the intercepted arcs. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will identify given and unknown information and apply the correct formula to find the unknown angle.

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Standard Alignments:

TEKS Math: G.12.A

(A) Apply theorems about circles, including relationships among angles, radii, chords, tangents, and secants, to solve non-contextual problems

AU Math: ACMMG272

(Y10A) Prove and apply angle and chord properties of circles (ACMMG272)

CCSS Math: HSG.C.2

HSG.C.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.


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