name period teacher · 2017-04-07 · angles measures in circles 12-4a angle measures in circles...
TRANSCRIPT
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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
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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
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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
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O
Q
N
M
P
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10 X M
P
Q
N
O 8
8
Y
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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.
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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
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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
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.
.
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. . Q
O
U
S T
P
R
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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.
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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
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. . .
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.
.
. .
. . .
. . . . .
. . B
F
A
H
G
P
D C
E
. . . .
. . .
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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
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Worksheet 11-4 Graphing Circles on a Coordinate Plane
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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