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Math II

Math II. UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How do we use angle measures to find measures of arcs? Standard: MM2G3.a,d. Arcs and Section 6.2, 6.3 Chords.

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Math II

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  1. Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How do we use angle measures to find measures of arcs? Standard: MM2G3.a,d

  2. Arcs and Section 6.2, 6.3 Chords

  3. In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent. B C AB  CD IFF AB  DC A D

  4. 60 120 120 x x = 60

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

  6. What can you tell me about segment AC if you know it is the perpendicular bisectors of segments DB? D It’s the DIAMETER!!! A C B

  7. Ex. 1 If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc. x = 24 24 y 60 y = 30 x

  8. Example 2 EX 2: In P, if PM  AT, PT = 10, and PM = 8, find AT. P A M MT = 6 T AT = 12

  9. Example 3 In R, XY = 30, RX = 17, and RZ  XY. Find RZ. X RZ = 8 R Z Y

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

  11. In the same circle or in congruent circles, two chords are congruent if and only if they are equidistant from the center. B AD  BC IFF LP  PM A M P L C D

  12. Ex. 5: InA, PR = 2x + 5 and QR = 3x –27. Find x. R A x = 32 Q P

  13. Ex. 6: IN K, K is the midpoint of RE. If TY = -3x + 56 and US = 4x, find x. U T K E R S x = 8 Y

  14. Homework: • Page 201 #7-12

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