1 / 18

Warm Up

Warm Up. For each circle C, find the value of x . Assume that segments that appear to be tangent are tangent. 1) 2). Math II. UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question:

hall-cobb
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 For each circle C, find the value of x. Assume that segments that appear to be tangent are tangent. 1) 2)

  2. Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: What is the relationship of an inscribed angle to the measure of its intercepted arc? Standard: MM2G3.b

  3. Inscribed Angle: An angle whose vertex is on the circle and whose sides are chords of the circle INTERCEPTEDARC INSCRIBEDANGLE

  4. YES; CL C T O L Determine whether each angle is an inscribed angle. Name the intercepted arc for the angle. 1.

  5. NO; QVR Determine whether each angle is an inscribed angle. Name the intercepted arc for the angle. 2. Q V K R S

  6. To find the measure of an inscribed angle… 160 80

  7. What do we call this type of angle? What is the value of x? The measure of the inscribed angle is HALF the measure of the inscribed arc!! 120 x y

  8. J K Q S M Examples 3. If m JK = 80, find mJMK. 40  4. If mMKS = 56, find m MS. 112 

  9. If two inscribed angles intercept the same arc, then they are congruent. 72

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

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

  12. A circle can be circumscribed around a quadrilateral if and only if its opposite angles are supplementary. B A D C

  13. Example 8 Find y and z. z 110 110 + y =180 y y = 70 85 z + 85 = 180 z = 95

  14. If a right triangle is inscribed in a circle then the hypotenuse is the diameter of the circle. 180 diameter

  15. Example 6 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

  16. Example 7 In K, m1 = 6x – 5 and m2 = 3x – 4. Find the value of x. 6x – 5 + 3x – 4 = 90 H 2 K x = 11 N 1 G

  17. Classwork: Pg.207 3-7odd 8-15all And 17

  18. Homework: Page 209 1-9 odd 10-17 all 19-24 all

More Related