inscribed angles [11.3] objectives students will be able to… find the measure of an inscribed...

Inscribed angles [11.3] Objectives Students will be able to… • Find the measure of an inscribed angle • Find the measures of an angle formed by a tangent and a chord

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Inscribed angles [11.3]

ObjectivesStudents will be able to…• Find the measure of an

inscribed angle• Find the measures of an

angle formed by a tangent and a chord

Inscribed Angle TheoremInscribed Angle: sides are chords, vertex is on the circle

THEOREM:The measure of an inscribed angle is half the measurement of the intercepted arc

Page 3: Inscribed angles [11.3] Objectives Students will be able to… Find the measure of an inscribed angle Find the measures of an angle formed by a tangent and

Example #1Find the value of each variable.

Page 4: Inscribed angles [11.3] Objectives Students will be able to… Find the measure of an inscribed angle Find the measures of an angle formed by a tangent and

Corollaries to Inscribed Angle Theorem

1.) 2 inscribed angles that intercept the same arc are congruent

2.) An angle inscribed in a semicircle is a right angle

3.) The opposite angles of a quadrilateral inscribed in a circle are supplementary.

Page 5: Inscribed angles [11.3] Objectives Students will be able to… Find the measure of an inscribed angle Find the measures of an angle formed by a tangent and

Example #2Find the values of the variables

Page 6: Inscribed angles [11.3] Objectives Students will be able to… Find the measure of an inscribed angle Find the measures of an angle formed by a tangent and

Example #3 and #4Find the value of the variables.

Page 7: Inscribed angles [11.3] Objectives Students will be able to… Find the measure of an inscribed angle Find the measures of an angle formed by a tangent and

TheoremThe measure of an angle formed by a tangent and a chord is half the measure of the intercepted arc

Page 8: Inscribed angles [11.3] Objectives Students will be able to… Find the measure of an inscribed angle Find the measures of an angle formed by a tangent and

Example #5: Find x.

Page 9: Inscribed angles [11.3] Objectives Students will be able to… Find the measure of an inscribed angle Find the measures of an angle formed by a tangent and

Example #6: Find the value of a.

Page 10: Inscribed angles [11.3] Objectives Students will be able to… Find the measure of an inscribed angle Find the measures of an angle formed by a tangent and

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Inscribed angle and intercepted arc

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3.2 Inscribed Angles.notebook - OGLESBY MATH - Welcomergoglesby.weebly.com/.../6/37367927/3.2_inscribed_angles.pdf · 2020. 2. 11. · Name the inscribed angle. the intercepted arc

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Inscribed Angles - Weeblygvmath.weebly.com/uploads/5/6/5/3/56539921/geo_-_9.4_inscribed... · Inscribed Angles Learning Objectives •Find the measure of inscribed angles and the

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inscribed angle intercepted arc subtend

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Holt McDougal Geometry 12-4 Inscribed Angles inscribed angle intercepted arc subtend Vocabulary

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Inscribed Angle A measures _____ Arc BC measures _____ Central Angle measures _____

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