1 / 15

Warm up

Warm up. 30 . 8 0 . 100 . 180 . 100 . 260 . Wheel of Formulas!!. Central Angle. Angle = Arc. Inscribed Angle. Angle where the vertex is ON the circle. Inscribed Angle. 160 . The arc is twice as big as the angle!!. 80 . Find the value of x and y. 120 . . 120 . x.

ila-farrell
Download Presentation

Warm up

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. Warm up 30 80 100 180 100 260

  2. Wheel of Formulas!!

  3. Central Angle Angle = Arc

  4. Inscribed Angle • Angle where the vertex is ON the circle

  5. Inscribed Angle

  6. 160 The arc is twice as big as the angle!! 80

  7. Find the value of x and y. 120  120 x  60 y 

  8. J K Q S M Examples 1. If mJK= 80 and JMK = 2x – 4, find x. x = 22 2. If mMKS= 56, find m MS. 112

  9. Find the measure of DOG and DIG D 72˚ G If two inscribed angles intercept the same arc, then they are congruent. O I

  10. If all the vertices of a polygon touch the edge of the circle, the polygon is INSCRIBED and the circle is CIRCUMSCRIBED.

  11. Quadrilateral inscribed in a circle: opposite angles are SUPPLEMENTARY B A D C

  12. If a right triangle is inscribed in a circle then the hypotenuse is the diameter of the circle. diameter

  13. Q D 3 J T 4 U Example 3 In J, m3 = 5x and m 4 = 2x + 9. Find the value of x. x = 3

  14. Example 4 In K, GH is a diameter and mGNH = 4x – 14. Find the value of x. 4x – 14 = 90 H K x = 26 N G

  15. Example 5 Find y and z. z 110 110 + y =180 y y = 70 85 z + 85 = 180 z = 95

More Related