1 / 9

10.3 Inscribed Angles

10.3 Inscribed Angles. Definitions. Inscribed Angle – An angle whose vertex is on a circle and whose sides contain chords of the circle. Intercepted Arc – the arc that lies in the interior of an inscribed angle and has endpoints on the angle (arc AB). Theorems.

clarke
Download Presentation

10.3 Inscribed Angles

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. 10.3 Inscribed Angles

  2. Definitions • Inscribed Angle – An angle whose vertex is on a circle and whose sides contain chords of the circle • Intercepted Arc – the arc that lies in the • interior of an inscribed angle and has • endpoints on the angle (arc AB)

  3. Theorems • If an angle is inscribed in a circle, then its measure is half the measure of the intercepted arc. • m < APB = ½ AB • m < APB = 60

  4. Theorems • If two inscribed angles of a circle intercept the same arc, then the angles are congruent. • m<DCR = m<RAD

  5. Theorems 3. If a right triangle is inscribed in a circle, then the hypotenuse is a diameter of the circle.

  6. Last Theorem!!!! 4. A quadrilateral can be inscribed in a circle if and only if its opposite sides are supplementary.

  7. Examples • Find the measure of arc TR • 260 • Find the m<DIS • 21

  8. Last Example 3. Find the measure of angle D and angle W

  9. Homework • P. 617 9-23all

More Related