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Homework Review

Homework Review. CCGPS Geometry Day 26 (9-12-13). 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: What other angle relationships do we know for circles? Standard: MMC9-12.G.C.2.

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Homework Review

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  1. Homework Review

  2. CCGPS GeometryDay 26 (9-12-13) 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: What other angle relationships do we know for circles? Standard: MMC9-12.G.C.2

  3. TANGENT: a LINE that intersects the circle exactly ONE time

  4. Point of Tangency

  5. Two circles can intersect… • in two points • one point • or no points

  6. No points of intersection (different center)

  7. No points of intersection (same center) Concentric Circles Same center but different radii

  8. 1 point of intersection(Tangent Circles) Externally Tangent Internally Tangent

  9. 2 points of intersection

  10. More Pythagorean Theorem type problems! Yeah!!  Point of Tangency If a line (segment or ray) is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency.

  11. 1. Find x A 12 B 9 a2 + b2 = c2 x 92 + 122 = x2 x = 15

  12. 2. Find RQ a2 + b2 = c2 122 + (QR)2 = (8+12)2 P 122 + (QR)2 = 202 12 8 RQ = 16 R Q

  13. 3. Is BC tangent to the circle? a2 + b2 = c2 ? No A 32 C 16 24 B

  14. S Party hat problems! If two segments from the same exterior point are tangent to a circle, then they are congruent. R T

  15. 4. Find x R S T

  16. 5. Find x R S T

  17. 6. Find x. B A C P D E

  18. 7. Find NP N T S P R Q

  19. CW Workbook Page 199 #18-26, 30-32

  20. HW Worksheet

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