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Name ____________________ Period _______________ Teacher ____________

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MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY

April 4 5 6 7 8

8-3 Rotations

CW:pages 8-10

HW: Try rotations about

a point that is not the

origin.

8-3 Rotations about a

point not the origin

8-4 Symmetry

CW: pages 11-13

HW:Watch Video

Dilations

8-7 Dilations

CW:pages 18-20

HW Complete classwork

Need for class the next

day: red & blue pen,

highlighter, pencil

8-7 Dilations

CW: pages 18-20

HW: Complete classwork

Need for class the next

day: Red & blue Pen,

highlighter, pencil.

Quiz 9.5 Compositions of

Transformations

CW:pages 14-17

HW: Complete classwork,

makes sure EOC #6 is

complete

11 12 13 14 15

Review EOC #6 Due

Formula Quiz #6

Test #16 Give out EOC #7

HW: Watch video

Vocabulary with Circles,

and video Arcs and

Chords

Vocabulary with Circles

12-1 Properties of

Tangents

CW: pages 4-7

HW: Watch video 12-2

Arcs and Chords

Vocabulary with Circles

12-1 Properties of

Tangents

CW: pages 4-7

HW: Watch video 12-2

Arcs and Chords

12-2 Arcs and Chords

Quiz

CW: pages 8-10

HW: Watch video 12-3

Inscribed Angles

18 19 20 21 22

12-3 Inscribed Angles

CW: pages 11-13

HW: Watch video 12-4B

Special Segments of

Circles

12-4B Special Segments

of Circles

CW: page 14

HW: Watch video 12-4A

Angles measures in

circles

12-4A Angle Measures in

Circles

CW: pages 15-18

HW: Watch video 11-4

Graphing Circles

12-4A Angle Measures in

Circles

CW: pages 15-18

HW: Watch video 11-4

Graphing Circles

11-4 Graphing Circles

CW: pages 19-21

HW: Complete classwork,

complete EOC #7, start

Review, study for formula

quiz.

25 26 27 28 29 Review

EOC #7 Due

Formula Quiz

Test #17 Give out EOC #8

End of Year Wrksht #1

End of Year Wrksht #2

End of Year Wrksht #1

End of Year Wrksht #2 End of Year Wksht #3

May 2 3 4 5 6

End of Year Wksht #4 End of Year Wksht #5 End of Year Wksht #6 End of Year Wksht #6 End of Year Wksht #7

9 10 11 12 13

Review

EOC #8 Due

Formula Quiz

Test #18 Give out EOC #9

Review for final Review for final Review for final

16 1-7 17 1-7 18 1,3,5,7 19 late 2,4,6 20 1-7 Review for final

EOC #9 Due Review for final

Formula Quiz Seniors (3rd & 5th)

Review for final

Seniors (4th & 6th)

Review for Final

7th Final Exam

23 24 25 26 27

1st and 2nd Final

exam (all)

3rd and 4th Final

Exam

5th and 6th Final

Exam

Teacher Workday Holiday

Geometry PAP 6th Six Weeks 2015-2016

3

Vertex Location Notes Diagram Formula

Center Of

Circle

On the

Circle

In the

Circle (not center)

Outside the

Circle

Measure of the angle is equal to the measure of the intercepted arc.

Measure of the angle is equal to one-half the measure of the intercepted arc.

Measure of the angle is equal to

one-half the sum of the intercepted

arcs(2).

Measure of the angle is equal to one-half the difference of the measures of the intercepted arcs(2).

arc

2arc

2arc arc

2big smallarc arc

A

B

C

B

A

C

C

A

B

C

A

B

D

E

D

E

A

C B

X

A

C

B

D

A

C

B

2arc

2big smallarc arc

2big smallarc arc

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Worksheet Parts of a Circle Name __________________________

Circle P has a radius of 3 cm. Circle Q has a radius of 2 cm 1) Name three radii of circle P. 2) If 1DE cm , then find CF . Explain your

answer algebraically.

3) In circle P, GH is what type of line.

4) In circle Q, GH is what type of line.

5) If 1DE cm and 132

AF cm , find the perimeters of APQ and AQF .

Explain your answers algebraically.

6) DQ is equal to 1

2what segment?

7) QA is congruent to what two segments?

8) Circle Q has a radius of 8 cm, P is in the plane of circle, and 6QP cm . State

whether P is inside, on, or outside the circle. Explain you answer. 9) A circle O has a radius of 8. Find the length of the longest chord of the circle.

Explain your answer. 10) Two concentric circles have a common center P and radii of 7 cm and 11 cm,

respectively. Points A, B, C, and D are chosen such that 5PA cm , 8PB cm ,

10PC cm , and 14PD cm . State whether each of the points A, B, C, and D

is in the interior or exterior of each circle. Explain each of your answers.

11) Circle O has a radius of 4 cm. If radii OA and OB form a right angle, find AB .

12) Circle N has a radius of 10 cm and radii NA and NB form an angle of 120 . Find AB .

13) In the figure, AB is a diameter of circle O, OC and OD are radii, 70m D and 55m C . Find the measure of all other angles.

Draw two circles in such a position that each condition is satisfied. 14) Exactly three common tangents can be drawn.

G

E D

B

A

P

H

Q F C

J

O

A

B

D

C

for #13

for #1-7

5

15) Exactly one common tangent can be drawn.

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Worksheet 12-1 Tangents and their properties

On 1-5, XA and XB are tangents segments from the external point X . 1) If OA = 7 and XO = 25, find AX. 2) If XA = 24 and XO = 26, find the radius of the circle. 3) 32m AXO . Find m AXB . 4) 48m AOX . Find m AXB . 5) 38m AXB . Find m AOB .

In 6-8, AC is a common external tangent of circle H and circle E. BE and AH are radii. 12CB , 5BE , 6GF ,15AH .

6) Find DC. 7) Find HE. 8) Find AB. In 9-13, ABCD is a circumscribed quadrilateral with 6AD . 9) Find x. 10) Find y. 11) Find z. 12) Find CD 13) Find the perimeter of ABCD.

14) Given: XU , XV , and ZY are tangents to circle O. 17XO and 8OU , find XZ YZ XY . 15) Find the radius, x. 16) Find the radius, x.

O

B

X

A

H

F

D E

A

B

C G

Q

C

F

E

R

D

A

B

y

x

4

3

2

z

X

W

O

Y

Z

V

U

7

8

Worksheet Arcs and Chords 12-2

9

In each circle, O is the center. Find the measure.

1) PQ 2) GH 3) XY

4) Suppose a chord is 20 inches long and is 24 inches from the center of the circle. Find the length of the radius. 5) Suppose a chord of a circle is 5 inches from the center and is 24 inches long. Find the length of the radius. 6) Suppose the diameter of a circle is 30 centimeters long and a chord is 24 centimeters long. Find the distance between the chord and the center of the circle. In each circle, O is the center. Find each measure to the nearest tenth.

7) mBC 8) YQ

9) Suppose a chord of a circle is 16 inches long and is 6 inches from the center of the circle. Find the length of a radius.

10) Find the length of a chord that is 5 inches from the center of a circle with a radius of 13 inches.

11) Suppose a radius of a circle is 17 units and a chord is 30 units long. Find the distance from the center of the circle to the chord.

B

C

D E

A

O

.

O

Q

N

M

P

.

10 X M

P

Q

N

O 8

8

Y

.

B

12 20 X

O

Y

. 12

F G

K

E

H

O

M

.

110

10

12) Find AB . (Special Right Triangles) 13) Find AB .

In D , VR and QU are diameters with QU PR and QU VW .

14) Name the midpoint of QU .

15) Name the midpoint of PR .

16) If 9VA , find VW .

17) Name two arcs congruent to QR .

18) Explain why VW PR .

19) Which chord is longer, PR or VW ?

20) If 14DS and 32PR , find DR to the nearest tenth.

21) Name two segments congruent to DQ . 22) Name a segment congruent to QS .

In each figure, J is the center of the circle. For 23 and 24, find x to the nearest tenth. 23) 24)

25) In R , 6.4TR and 10.8EN . Find 26) In O , 6MO and 16LN . Find x.

RO to the nearest tenth.

6

P

B

A

. A B

2

C

5

E

B

P .

S

A

U

V

D

W

T

Q

R

P

S N

E

T

V

R

O N

L

M

O x .

J x

B

C

A

5

2 .

.

.

J 13

5

x R

I

S

.

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Worksheet 12-3 Inscribed Angles

18) 136mAB 19) 17m DEF 20) XY and WZ are perpendicular

Find m ACB . Find mDF . Diameters. Find m XWZ . .

. .

. B

C

A

. .

. . E

D

F

.

W

. . .

X Y

Z

.

12

1 _______m

2 _______m

3 _______m

4 _______m

5 _______m

6 _______m

7 _______m

8 _______m

9 _______m

10 _______m

11 _______m

12 _______m

22) PQ is a diameter. 23) 70 , 94 ,m MNP m QMN 24) 90 , 80 ,m C mAD and

Find m PRQ . and 85mQP . Find m MQP 125mBC . Find , ,m A m B

and m QPN . and .m D

13 _______m 14 _______m 15 _______m

16 _______m 17 _______m 18 _______m

19 _______m 20 _______m 21 _______m

. R

P Q

C

B D

A

N Q

M

P

21) Circle Puzzle Inscribed and Central Angles

13

Use O at the right for problems 24-35.

24 , 18 ,m P m Q and TR is a diameter.

Find these measures.

24) mST 25) mQR

26) m SUR 27) mTQ

28) m PSQ 29) m TRS

Suppose that 40 , 78 ,mTS mQR and TR

is a diameter. Find these measures in O . 30) m QSR 31) m P

32) m TUQ 33) mSR

34) m Q 35) m PSQ

Use the figure at the right for Problems 36-38

36) 82mAB . Find m BEA .

37) 29m CBE . Find m CAE and mCE .

38) 290mBEA . Find m BCA . Use the figure at the right for problems 39-41.

39) 46mSU . Find m SWU .

40) 45m RUW . Find m RSW and mRW .

41) 310mSRU . Find m SRU .

.

.

.

.

.

. . Q

O

U

S T

P

R

B

A

C

F

D

E

R

W

S

X T

U

. .

. . .

.

.

. .

. . .

.

.

.

.

. . Q

O

U

S T

P

R

.

14

Worksheet 12-4 Part B Special Segments in Circles Chords, secants, and tangents are shown, find x. 1. ______________________ 2. ______________________ 3. _________________________

4. ______________________ 5. ______________________ 6. _________________________

7. ______________________ 8. ______________________

In 9 – 12, Given: chords RS and TZ intersect at K. TK = ___________________9. RK = 6, KS = 2, TZ = 7, find TK.

RK = ___________________10. RS = 8, TK = 8, KZ = 2, find RK.

KZ = ___________________11. RK = 8, RS = 13, TZ = 14, find KZ.

TZ = ___________________12. RK = 8, KS = 6, TK = 10, find TZ.

In 13 – 16, secants OA and OB and tangent OC are drawn from point O. BJ = ___________________13. OJ = 4, OC = 6, find BJ.

OJ = ___________________14. OG = 4, GA = 8, JB = 13, find OJ.

OA = ___________________15. OJ = 5, JB = 11, GA = 16, find OA.

OC = ___________________16. JB = 5, OJ = 3 3 , find OC.

14

9

x

7

7

5 x

6

x

6 8

3

12

5 x

x x

9 3

9

x

6

k

8 9

x

n

p c

x

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Worksheet 12-4A Measurement of Angles Find the measure of each numbered angle. 1) 2) 3) Find the value of x. 4) 5) 6)

Assume that lines that appear to be tangents are tangents. In Q , 120m CQD , 30mBC , and 25m BEC .

Find each measure.

7) mDC 8) mAD

9) mAB 10) m QDC

In Q , 140mAE , mBD y , 2mAB y , and 2mDE y . Find each measure.

11) mBD 12) mAB

13) mDE 14) m BCD

In P , 4 50mBC x , 25mDE x , 15mEF x , 50mFB , and mCD x . Find each measure. 15) m A 16) m BCA 17) m ABC 18) m GBC 19) m FHE 20) m CFD

52 40 1

2

3

C

B E

Q

D

A

Q B

A

D E C

. .

. . .

.

.

.

. .

. . .

. . . . .

. . B

F

A

H

G

P

D C

E

. . . .

. . .

16

Use the diagram to find the missing information. 21) Find 3m 22) Find the value of x. 23) Find the value of x and m AET . 24) Find 1m . 25) Find 2m , 26) Find 4m . 27) Find the value of x. 28) Find the value of x.

3

1

2

4

S

S

E

H

T

K

A

M

26 x 106

S

Q T

H

L

. . .

. . .

.

. . . .

. . . . .

. . . .

.

. . . . .

.

. .

. . .

. . . .

. .

17

.

18

19

Worksheet 11-4 Graphing Circles on a Coordinate Plane

20

21

More 11-4 Circles Graphing and Standard form Find the center and the radius of the circle. Examples:

2 2 10 9 0x y x 2 2 6 8 11 0x y x y

16. 2 2 4 6 36 0x y x y 17. 2 2 10 8 23 0x y x y

18. 2 2 2 35 0x y x 19. 2 2 6 8 0x y x y

20. 2 2 6 14 12 0x y x y 21. 2 2 8 4 18 0x y x y