© 2009, dr. jennifer l. bell, lagrange high school, lagrange, georgia(mcc9-12.g.c.2; mcc9-12.g.c.3;...

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1. Cut out each circle. 2. Cut along the dotted lines ONLY! Circle Book © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia (MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

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Page 1: © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

1. Cut out each circle.2. Cut along the dotted lines

ONLY!

Circle Book

© 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia (MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

Page 2: © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

3. Group circles by dotted line pattern.4. Order the pages:

5. Slide the 3 circles withslits on the ends through

the large slit of the other 2 circles.6. Write your name on it.

5,43, 2, 1

© 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia (MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

Page 3: © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

CongruentInscribedRightChordsLikeEqualSemicircles

If a quadrilater

al is inscribed

in a circle, then

___________∠s are

___________.

8

Page 4: © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

If a line is tangent to a

circle, then the line is

____________to the radius drawn at the

point of tangency.

1

Page 5: © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

If 2 segments from the same exterior point are tangent to a circle, then

they are _________.

**Hat rule!

2

Page 6: © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

An ∠ inscribed

in a semicircle

is a _________.

7

Page 7: © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

If a diameter(or radius) of a circle is ⊥ to a chord, then the

diameter (or radius)

___________the chord & its

arc.

If one chord is the ⊥ bisector of another chord, then the 1st chord is a ___________ .**must run through the center!

3

Page 8: © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

If 2 inscribed

∠s intercept the same arc, then they are ________.

6

Page 9: © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

In the samecircle, or in ≅

circles, 2 chords are ≅ if and only if

they are__________from thecenter.

5

Page 10: © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

Other tidbits:* If 2 chords in a circle are ≅, then their 2 central ∠s

are ________________.

*Parallel lines intercept

___________arcs on a circle.

9

Page 11: © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

In the same circle, or

in ≅ circles, 2 minor arcs are ≅ if and only if

their______________

chords are ______________.

4

Page 12: © 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)

© 2009, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia(MCC9-12.G.C.2; MCC9-12.G.C.3; MCC9-12.G.C.4)