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Monday December 16

Monday December 16. Test Friday . Analytic Geometry. UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How are central angles different from inscribed angles? Standard: MM2G3.b. C. Parts of a Circle.

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Monday December 16

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  1. Monday December16

  2. Test Friday

  3. Analytic Geometry UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How are central angles different from inscribed angles? Standard: MM2G3.b

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

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

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

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

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

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

  10. Secant Line: intersects the circle at exactly TWO points SECANT sounds like second

  11. Tangent Line: a LINE that intersects the circle exactly ONE time Forms a 90°angle

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

  13. Arc Length • A portion of the circumference of the circle – as if you used a ruler to measure the length A B

  14. THINGS TO REMEMBER: A circle has 360 degrees A semicircle has 180 degrees Vertical Angles are Equal Linear Pairs are Supplementary

  15. Central Angle : vertex is at the center of the circle A P C B APB is a Central Angle

  16. Case I:Vertex is AT the center A P C B

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

  18. Central Angle : vertex is at the center of the circle ACB AB A Major Arc Minor Arc More than 180° Less than 180° P C B

  19. measure of an arc = measure of central angle m AB m ACB m AE A E 96 Q = 96° B C = 264° = 2x + 14 Find x. x = 35

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