1 / 23

CCGPS Geometry

CCGPS Geometry. UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3 Today’s Question: How do we use angle measures to find measures of arcs? Standard: MMC9-12.G.C.2. AGENDA. Notes on Circles Notes on Central Angles

rosa
Download Presentation

CCGPS Geometry

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. CCGPS Geometry UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MMC9-12.G.C.1-5,G.GMD.1-3 Today’s Question: How do we use angle measures to find measures of arcs? Standard: MMC9-12.G.C.2

  2. AGENDA • Notes on Circles • Notes on Central Angles • Homework Worksheet

  3. Unit 3 Circles

  4. Segments of Circles

  5. C Parts of a Circle Circle – set of all points _________ from a given point called the _____ of the circle. equidistant C center Symbol:

  6. CHORD: A segment whose endpoints are on the circle

  7. Radius RADIUS: Distance from the center to point on circle P

  8. DIAMETER: Diameter Distance across the circle through its center P Also known as the longest chord.

  9. D = ? 24 32 12 r = ? 16 r = ? 4.5 6 D = ? 12 9

  10. Q R P S T Use P to determine whether each statement is true or false.

  11. Secant Line: intersects the circle at exactly TWO points

  12. Tangent Line: a LINE that intersects the circle exactly ONE time Forms a 90°angle with a radius Point of Tangency: The point where the tangent intersects the circle

  13. Name the term that best describes the notation. Secant Radius Diameter Chord Tangent

  14. Central Arcs

  15. Central Angle : An Angle whose vertex is at the center of the circle ACB AB A Major Arc Minor Arc More than 180° Less than 180° P To name: use 3 letters C To name: use 2 letters B APB is a Central Angle

  16. EDF Semicircle: An Arc that equals 180° To name: use 3 letters E D P F

  17. THINGS TO KNOW AND REMEMBER ALWAYS A circle has 360 degrees A semicircle has 180 degrees Vertical Angles are Equal

  18. measure of an arc = measure of central angle m AB m ACB m AE A E 96 Q = 96° B C = 264° = 84°

  19. Arc Addition Postulate m ABC = m AB + m BC A C B

  20. m DAB = Tell me the measure of the following arcs. 240 D A 140 260 m BCA = R 40 100 80 C B

  21. CONGRUENT ARCS Congruent Arcs have the same measure and MUST come from the same circle or of congruent circles. C B D 45 45 110 A Arc length is proportional to “r”

  22. Classwork • Practice Worksheet

  23. Homework: • Practice Worksheet

More Related