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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.

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Presentation on theme: "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."— Presentation transcript:

1 Homework Review

2 CCGPS Geometry Day 26 ( ) 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) Same center but different radii

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

9 2 points of intersection

10 Common Tangents Internal

11 Common Tangents External

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

13 a 2 + b 2 = c 2 x = = x 2

14 a 2 + b 2 = c 2 RQ = (QR) 2 = (8+12) (QR) 2 = 20 2

15 No a 2 + b 2 = c 2 ?

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

17 R S T

18 R S T

19 A C E B D P

20 T S Q P N R

21

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