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Geometry Review and Practice: Circle Parts and Chords

Solve inequalities in Math II unit with a focus on circle properties, chord measures, and congruence. Practice problems on chords and arcs.

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Geometry Review and Practice: Circle Parts and Chords

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  1. Thursday October 4th Please take out your notes from yesterday & your workbook…

  2. EOCT Practice Solve the inequality d

  3. Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How are chords used to find arc measures? Standard: MM2G3.a,d

  4. How do you know when two chords are congruent? • corresponding arcs are congruent B A M P b. equidistant from the center L C LP  PM ALP = BMP = 90 D

  5. 1. 2x x + 40 2x = x + 40 x = 40

  6. In K, K is the midpoint of RE. If TY = -3x + 56 and US = 4x, find the length of TY. U 2. T x = 8 TY = 32 K E R S Y

  7. IF AC is the perpendicular bisector of segment DB, then… D It’s the DIAMETER!!! Arcs DC and BC are congruent!!! A C B

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

  9. In P, if PM  AT, PT = 10, and PM = 8, find AT. 4. MT = 6 P A AT = 12 M T

  10. Workbook Pages 211-213 #1-24

  11. Two chords intersect INSIDE the circle a ab = cd d c b

  12. Solve for x. 5. 9 6 x x = 3 2

  13. 12 2x 8 3x 6. Find the length of DB. x = 4 DB = 20 A D C B

  14. 7. Find the length of each chord. D x = 1 AC = 7 DB = 8 A x+1 x+2 C x+3 x+5 B

  15. Workbook • Page 231 (#1–3) • Page 232 (#10–12) • Page 233 (#20, 22, & 25)

  16. Textbook p. 201 #1-13 p. 220 #1-6

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