1 / 11

AB  CD IFF AB = DC

In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent. B. C. AB  CD IFF AB = DC. A. D. 12 in. 120. 120. x. x = 12 in. x + 40. 2x + 10. 2x + 10= x + 40 x = 30.

kamali
Télécharger la présentation

AB  CD IFF AB = DC

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. In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent. B C AB  CD IFF AB = DC A D

  2. 12 in. 120 120 x x = 12 in.

  3. x + 40 2x + 10 2x + 10= x + 40 x = 30

  4. What can you tell me about segment AC if you know it is the perpendicular bisectors of segments DB? D It’s the DIAMETER!!! A C B

  5. Ex. 1 If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc. x = 4 4 y 60 y = 30 x

  6. Example 2 EX 2: In P, if PM  AT, PT = 10, and PM = 8, find AT. P A M MT = 6 T AT = 12

  7. Example 3 In R, XY = 30, RX = 17, and RZ  XY. Find RZ. X RZ = 8 R Z Y

  8. Example 4 IN Q, KL  LZ. IF CK = 2X + 3 and CZ = 4x, find x. Q x = 1.5 C Z K L

  9. In the same circle or in congruent circles, two chords are congruent if and only if they are equidistant from the center. B AD  BC IFF LP  PM A M P L C D

  10. Ex. 5: InA, PR = 2x + 5 and QR = 3x –27. Find x. R A x = 32 Q P

  11. Ex. 6: IN K, K is the midpoint of RE. If TY = -3x + 56 and US = 4x, find x. U T K E R S x = 8 Y

More Related