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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 Today’s Question: What other angle relationships do we know for circles? Standard: MMC9-12.G.C.2.

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ccgps geometry day 26 9 12 13
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

two circles can intersect
Two circles can intersect…
  • in two points
  • one point
  • or no points
no points of intersection same center
No points of intersection (same center)

Concentric Circles

Same center but different radii

1 point of intersection tangent circles
1 point of intersection(Tangent Circles)

Externally Tangent

Internally Tangent

slide10

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.

slide11

1. Find x

A

12

B

9

a2 + b2 = c2

x

92 + 122 = x2

x = 15

slide12

2. Find RQ

a2 + b2 = c2

122 + (QR)2 = (8+12)2

P

122 + (QR)2 = 202

12

8

RQ = 16

R

Q

slide13

3. Is BC tangent to the circle?

a2 + b2 = c2 ?

No

A

32

C

16

24

B

slide14

S

Party hat problems!

If two segments from the same exterior point are tangent to a circle, then they are congruent.

R

T

slide19

CW

Workbook Page 199 #18-26, 30-32

slide20

HW

Worksheet