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    10.4: Use Inscribed Angles and Polygons Inscribed Angle An angle whose the circle and whose is sides contain chords of the circle. Measure of an inscribed Angle RECALL Central Angle An angle whose IS the of the circle and whose sides are radii of the circle. Measure of a central Angle mzAPB = m AB B m LADB = 1/2 m AB 1. 2. Goo
    62/87,21 ,idqdqjohlvlqvfulehglqdflufoh wkhqwkhphdvxuh riwkhdqjohhtxdovrqhkdoiwkhphdvxuhrilwv lqwhufhswhgduf 6r 7khvxpriwkhphdvxuhvriwkhfhqwudodqjohvrid
    ∠ADB is an inscribed angle, AB!is an intercepted arc. The INSCRIBED ANGLE THEOREM says that the measure of any inscribed angle is half the measure of its intercepted arc. Likewise, any intercepted arc is twice the measure of any inscribed angle whose sides pass through the endpoints of the arc. m∠ADB = 1 2 AB≅and AB!= 2m∠ADB #18 C A B A
    Theorem The measure of an angle formed by a chord and a tangent is equal to half the measure of the intercepted arc. CA STANDARDS 7.0 Prove/use theorems involving the properties of circles 21.0 Prove and solve problem s regarding relationships am ong chords, secants, tangents, inscribed angles, and inscribed and circumscribed polygons of a circle
    Inscribed Angle Theorem The measure of an inscribed angle is half of the measure of its intercepted arc. 10.4 Inscribed Angles.notebook March 18, 2014. Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard
    A. AC = 90o.R 90o. C INSCRIBED ANGLE • An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of the circle. The arc that lies in the interior of an inscribed angle and has endpoints on the angle is called the intercepted arc of the angle. L V.E. O Time!!!! Follow the steps and find out how to determine the measure of the inscribed angle.
    Here, the circle with center O has the inscribed angle ∠ A B C. The other end points than the vertex, A and C define the intercepted arc A C ⌢ of the circle. The measure of A C ⌢ is the measure of its central angle. That is, the measure of ∠ A O C. Inscribed Angle Theorem: The measure of an inscribed angle is half the measure of the intercepted by both the inscribed angle, ∠ABC and the central angle, ∠APC. Using what you know about isosceles triangles, it is possible to prove the result you may have conjectured in Step 5 of the Activity. Inscribed Angle Theorem The measure of an angle inscribed in a circle is half the measure of its intercepted arc. Given ∠ABC
    What can you conclude about the measure of angle A, and why? What do you know about how angles B and C relate to each other, and why? 1. In the circle O, angle EFG has a measure of 300. a. How many degrees are in arc EG? b. How many degrees are in arc GF? In the figure below, side BD of ABID is tangent to circle I and DA 1 131; BI = 25 and ID
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    Front page – Mechamath

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