1 / 13

Circle Segment Relationships and Equations

Explore various segment relationships and equations involving chords, secants, and tangents in circles. Use the Chord-Chord Product Theorem, Secant-Secant Product Theorem, and Secant-Tangent Product Theorem to solve for unknown values and segment lengths.

munsonb
Download Presentation

Circle Segment Relationships and Equations

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(Add to Hw) Solve for x. 1. 2. 3x = 122 3. BC and DC are tangent to A. Find BC. 4 48 14

  2. 11-6 Segment Relationships in Circles Holt Geometry

  3. J Example 1: Applying the Chord-Chord Product Theorem Find the value of x and the length of each chord. 10(7) = 14(x) 70 = 14x 5 = x EF = 10 + 7 = 17 GH = 14 + 5 = 19

  4. A secant segmentis a segment of a secant with at least one endpoint on the circle. An external secant segmentis a secant segment that lies in the exterior of the circle with one endpoint on the circle.

  5. Example 3: Applying the Secant-Secant Product Theorem Find the value of x and the length of each secant segment. 112 = 64 + 8x 48 = 8x 6 = x ED = 7 + 9 = 16 EG = 8 + 6 = 14

  6. A tangent segmentis a segment of a tangent with one endpoint on the circle. ABand ACare tangent segments.

  7. Example 4: Applying the Secant-Tangent Product Theorem Find the value of x. ML JL = KL2 20(5) = x2 100 = x2 ±10 = x The value of x must be 10 since it represents a length.

  8. P795 #2-8ev

  9. Lesson Quiz: Part I 1. Find the value of d and the length of each chord. d = 9 ZV = 17 WY = 18 2. Find the diameter of the plate.

  10. Lesson Quiz: Part II 3. Find the value of x and the length of each secant segment. x = 10 QP = 8 QR = 12 4. Find the value of a. 8

More Related