1 / 6

Circle Geometry Theorems and Examples

Learn about congruent arcs and chords, diameter properties, and chord bisecting in this circle geometry theorem guide with illustrated examples.

emi-washington
Télécharger la présentation

Circle Geometry Theorems and Examples

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. Theorem 9-4 • In the same circle (or congruent circles) • Congruent arcs have congruent chords. • Congruent chords have congruent arcs.

  2. If arc AB is congruent to arc BC, then segment AB is congruent to segment BC The converse is true also… Example A B C D

  3. Theorem 9-5 • A diameter that is perpendicular to a chord bisects the chord and its arc.

  4. If CD is perpendicular to AB, then AZ is cong to BZ Arc AD is cong to Arc BD Example A D Z B C

  5. Given: EF=10 AZ=5 Find ZB Find arc DB Try this one… A D E Z B C F

  6. Theorem 9-6 • In the same circle (or in congruent circles) • Chords equally distant from the center are congruent. • Congruent chords are equally distant from the center.

More Related