Name ____________________
Period _______________
Teacher ____________
1
Geometry PAP 6th Six Weeks 2015-2016
MONDAY
TUESDAY
WEDNESDAY
THURSDAY
FRIDAY
April 4
5
6
7
8
8-3 Rotations
CW:pages 8-10
8-7 Dilations
CW:pages 18-20
8-7 Dilations
CW: pages 18-20
Quiz
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
HW Complete classwork
Need for class the next
day: red & blue pen,
highlighter, pencil
HW: Complete classwork
Need for class the next
day: Red & blue Pen,
highlighter, pencil.
9.5 Compositions of
Transformations
CW:pages 14-17
HW: Complete classwork,
makes sure EOC #6 is
complete
11
12
13
14
15
Test #16
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
Review
EOC #6 Due
Formula Quiz #6
Give out EOC #7
HW: Watch video
Vocabulary with Circles,
and video Arcs and
Chords
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
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
Review for final
Review for final
Review for final
16 1-7
17 1-7
Review for final
EOC #9 Due
Review for final
Formula Quiz
18 1,3,5,7
Seniors (3rd & 5th)
Review for final
19 late 2,4,6
Seniors (4th & 6th)
Review for Final
20 1-7
7th Final Exam
23
24
3rd and 4th Final
Exam
25
26
Teacher Workday
27
st
Give out EOC #8
Give out EOC #9
nd
1 and 2 Final
exam (all)
th
th
5 and 6 Final
Exam
Holiday
2
Vertex
Location
Center
Of
Circle
Notes
Diagram
Formula
A
Measure of the
angle is equal to
the measure of the
intercepted arc.
 arc
B
C
A
On
the
Circle
B
Measure of the
angle is equal to
one-half the
measure of the
intercepted arc.
 arc
2
C
A
 arc
2
B
C
In
the
Circle
(not center)
Measure of the
angle is equal to
one-half the sum
of the intercepted
arcs(2).
A
E
 arc  arc
2
B
C
D
D
 arc  arc
2
A
B
Outside
the
Circle
Measure of the
angle is equal to
one-half the
difference of the
measures of the
intercepted arcs(2).
big
C
E
small
A
B
 arc  arc
2
big
X
small
C
A
B
 arc  arc
2
big
C
D
small
3
Worksheet Parts of a Circle
Name __________________________
Circle P has a radius of 3 cm. Circle Q has a radius of 2 cm
for #1-7
A
C
P
1) Name three radii of circle P.
D
E
Q
F
B
2) If DE  1 cm , then find CF . Explain your
answer algebraically.
G
J
H
3) In circle P, GH is what type of line.
4) In circle Q, GH is what type of line.
1
5) If DE  1 cm and AF  3 cm , find the perimeters of APQ and AQF .
2
Explain your answers algebraically.
6) DQ is equal to
1
what segment?
2
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 QP  6 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 PA  5 cm , PB  8 cm ,
PC  10 cm , and PD  14 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, mD  70
and mC  55 . Find the measure of all other angles.
D
for #13
B
Draw two circles in such a position that each condition is satisfied.
14) Exactly three common tangents can be drawn.
C
O
4
A
15) Exactly one common tangent can be drawn.
5
Worksheet 12-1 Tangents and their properties
A
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) mAXO  32 . Find mAXB .
4) mAOX  48 . Find mAXB .
5) mAXB  38 . Find m AOB .
X
O
B
In 6-8, AC is a common external tangent of circle H and circle E. BE and AH are radii. CB  12 , BE  5 , GF  6 ,
A
AH  15 .
6) Find DC.
B
7) Find HE.
G
F
C
8) Find AB.
D
H
E
A
In 9-13, ABCD is a circumscribed quadrilateral with AD  6 .
9) Find x.
10) Find y.
11) Find z.
12) Find CD
13) Find the perimeter of ABCD.
F
3
z
D
Q
y
E
B
4
2
R
x
14) Given: XU , XV , and ZY are tangents to circle O. XO  17 and
OU  8 , find XZ YZ  XY .
C
U
O
Z
W
V
Y
X
15) Find the radius, x.
16) Find the radius, x.
6
7
Worksheet Arcs and Chords 12-2
8
In each circle, O is the center. Find the measure.
1) PQ
3) XY
2) GH
N
G
M
.
F
.
O
O
P
H
K
E
.
O
12
X
12
B
M
20
Y
Q
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.
B
7) mBC
8) YQ
M
.
A
C
O
O
110
X
.
8
8
P
E
10
Y
N
Q
D
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.
9
12) Find AB . (Special Right Triangles)
C
13) Find AB .
2
A
A
.
P
P
.
5
6
B
In
B
E
B
D , VR and QU are diameters with QU  PR and QU  VW .
14) Name the midpoint of QU .
Q
P
15) Name the midpoint of PR .
.
S
16) If VA  9 , find VW .
R
D
V
17) Name two arcs congruent to QR .
T
A
18) Explain why VW PR .
W
U
19) Which chord is longer, PR or VW ?
20) If DS  14 and PR  32 , 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)
x
R
S
.
5
I
13
5
C
.
26) In O , MO  6 and LN  16 . Find x.
L
.
O
R
S
J
J
25) In R , TR  6.4 and EN  10.8 . Find
RO to the nearest tenth.
E
V
O
T
.
B
A 2
x
N
M
x
N
10
Worksheet 12-3 Inscribed Angles
18) m AB  136
Find m ACB .
.
A
C
. .
.
B
19) m DEF  17
Find mDF .
20) XY and WZ are perpendicular
Diameters. Find m XWZ .
.
. .
.
D
E
F
.
. . .
.
W
X
Z
Y
11
21) Circle Puzzle Inscribed and Central Angles
m1  _______
m2  _______
m3  _______
m 4  _______
m5  _______
m6  _______
m7  _______
m 8  _______
m9  _______
m10  _______
m11  _______
m13  _______
m14  _______
m15  _______
m16  _______
m17  _______
m18  _______
m19  _______
m20  _______
m21  _______
22) PQ is a diameter.
Find m PRQ .
R
P
.
Q
23) m MNP  70, m QMN  94,
and mQP  85 . Find m MQP
and m QPN . M
Q
N
P
m12  _______
24) m C  90, m AD  80, and
mBC  125 . Find m A, m B ,
and m D .
A
D
B
C
12
Use O at the right for problems 24-35.
m P  24, m Q  18, and TR is a diameter.
Find these measures.
.
R
.
Q
.
R
.
Q
.
.
O
24) mST
26) m SUR
28) m PSQ
25) mQR
27) mTQ
29) m TRS
U
T
.
.
O
. .
U
T
S
. .
S
Suppose that mTS  40, mQR  78, and TR
is a diameter. Find these measures in O .
30) m QSR
32) m TUQ
34) m Q
31) m P
33) mSR
35) m PSQ
Use the figure at the right for Problems 36-38
36) m AB  82 . Find m BEA .
37) m CBE  29 . Find m CAE and mCE .
38) mBEA  290 . Find m BCA .
Use the figure at the right for problems 39-41.
39) mSU  46 . Find m SWU .
40) m RUW  45 . Find m RSW and mRW .
41) mSRU  310 . Find m SRU .
P
.
P
. ..
.
.
. .
.
.
.
C
B
F
A
R
.
D
E
S
X
W
.
.
T
U
13
Worksheet 12-4 Part B Special Segments in Circles
Chords, secants, and tangents are shown, find x.
1.
______________________
7
______________________
6
9
x
14
4.
2.
7
______________________
5.
x
3
9
12
_________________________
5
x
3
x
______________________
x
3.
6.
5
x
6
8
_________________________
8
9
x
k
7.
______________________
8.
______________________
p
9
c
x
6
n
x
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
Worksheet 12-4A Measurement of Angles
Find the measure of each numbered angle.
1)
2)
.
52
3)
.
2
1 40
.
3
Find the value of x.
4)
5)
.
6)
.
.
Assume that lines that appear to be tangents are tangents. In Q , m CQD  120 , mBC  30 , and m BEC  25 .
Find each measure.
7) mDC
8) m AD
... .
.
.
B
A
E
Q
C
9) m AB
10) m QDC
D
In Q , m AE  140 , mBD  y  , m AB  2y  , and mDE  2y  . Find each measure.
11) mBD
.
.
. ...
A
12) m AB
B
C
13) mDE
In
14) m BCD
.
Q
E
D
P , mBC  4x  50 , mDE  x  25 , mEF  x  15 , mFB  50 , and mCD  x . Find each measure.
15) m A
16) m BCA
17) m ABC
18) m GBC
19) m FHE
20) m CFD
A
.
.
. .
..
. .
B
G
F
E
P
H
D
C
15
Use the diagram to find the missing information.
21) Find m 3
.
22) Find the value of x.
.
.
.
3
106
1
K
H
25) Find m 2 ,
26) Find m 4 .
.
.. . .
.
2
27) Find the value of x.
S
.
..
.
T
.
.
24) Find m 1 .
E
. .
. .
26
x
Q
T
. . .
.
.
.
M
S
L
23) Find the value of x and m AET .
A
. .
. .
.
H
.
4
28) Find the value of x.
.
..
S
.
.
.
16
.
17
18
Worksheet 11-4 Graphing Circles on a Coordinate Plane
19
20
More 11-4 Circles Graphing and Standard form
Find the center and the radius of the circle.
Examples:
x2  y 2  10 x  9  0
x2  y 2  6 x  8 y  11  0
16. x 2  y 2  4 x  6 y  36  0
17. x 2  y 2  10 x  8 y  23  0
18. x 2  y 2  2 x  35  0
19. x 2  y 2  6 x  8 y  0
20. x 2  y 2  6 x  14 y  12  0
21. x 2  y 2  8x  4 y  18  0
21