1 / 12

CHAPTER 9: CIRCLES

CHAPTER 9: CIRCLES. 9.5 INSCRIBED ANGLES. INSCRIBED ANGLE. An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of the circle. THEOREM 9-7. THEOREM 9-7 The measure of an inscribed angle is equal to half the measure of its intercepted arc. 80 °. 40 °.

zubin
Télécharger la présentation

CHAPTER 9: CIRCLES

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. CHAPTER 9:CIRCLES 9.5 INSCRIBED ANGLES

  2. INSCRIBED ANGLE An inscribed angle is an angle whose vertex is on a circle and whose sides contain chords of the circle.

  3. THEOREM 9-7 THEOREM 9-7 The measure of an inscribed angle is equal to half the measure of its intercepted arc. 80° 40°

  4. PRACTICE y° 130° 100° 50° • Find x. • Find y. • Find z. x° 130° z°

  5. COROLLARY 1 COROLLARY 1 If two inscribed angles intercept the same arc, then the angles are congruent.

  6. EXAMPLE • Find s. • Find t. • 150° • 75° 75° t° s°

  7. COROLLARY 2 COROLLARY 2 An angle inscribed in a semicircle is a right angle.

  8. EXAMPLEIn the image, AC=AB A 180° 90° 90° 180° • Find mCAB • Find mAB • Find mCA • Find m∠CDB C B D

  9. JUST A THOUGHT….. • What is the measure of a circle? • What is mQRS + mSTQ? • What is m∠1? • What is m∠2? • What is m∠1 + m∠2? ½ mQRS + ½ mSTQ = ½ (mQRS + mSTQ) = ½ (360°) = 180° Q R 2 1 S T

  10. COROLLARY 3 COROLLARY 3 If a quadrilateral is inscribed in a circle, then its opposite angles are supplementary.

  11. THEOREM 9-8 THEOREM 9-8 The measure of an angle formed by a chord and a tangent is equal to half the measure of the intercepted arc. 150° 210° 75°

  12. CLASSWORK/HOMEWORK 9.5 ASSIGNMENT Classwork: • Pgs. 352-353, Classroom Exercises 2-10 Homework: • Pg. 354, Written Exercises 1-9

More Related