NAME _
Circle Worksheet #7
The two circles pictured at left are externally
tangent at point C. Their radii are 24 cm and 6 cm
and AB is a tangent segment.
M
O
1. P
2.
B
3.
length of CM = _
A
4.
5.
C
Find AB = _
What is the measure of ACB ? Why ?
If CM is
NAME _
Angles of a Circle Worksheet #2
For the circle at right, answer questions 1 20:
The following information is given.
AB and BC are tangent lines.
KF is a diameter.
DG is parallel to KF.
m ABC = 70
m HG = 24 m HJ = 84
Find the measure of the
followin
NAME _
Angles of a Circle Worksheet #4
For the circle at right, answer questions 1 22.
The following information is given.
HF and GM are diameters.
EJ is a tangent.
m LM = 78, m DM = 116
HF bisects DM
Find the measure of the
following arcs:
1. m GH = _
2.
NAME _
Circle Worksheet #6
The two circles pictured at left are externally
tangent at point C. Their radii are 12 cm and 6 cm
and AB is a tangent segment.
M
1.
C
P
O
2.
B
3.
length of CM = _
4.
A
5.
D
Find AB = _
What is the measure of ACB ? Why ?
If CM i
NAME _
Circle Worksheet #8
Find the value of the variables below:
1. Circle P is inscribed in trapezoid WXYZ.
W is a right angle. The radius of the
circle is 5 and the length of the shortest side
of the trapezoid is 7.5. Find the following:
a) Perimeter
NAME _
Circle Worksheet #10
C
B
1.
Circle P and circle Q intersect at points
E and F. CD is tangent to circle P. Based A
on the diagram at right, find the following:
BC = 5, CE = 6, and EF = 4.
E
D
P
Q
F
CD = _
AB = _
2.
What is the radius a circle that c
NAME _
1.
The two circles shown have lengths as
indicated in the diagram. The bisector of
BAC contains the diameter of the circle.
Find the value of x and AC. Can you find y
and AB?
Circle Worksheet #11
B
y
13
x+6
C
y = _ AB = _
The two circles are tange
NAME _
Circle Worksheet #12
AC AB and AC CD. AC = 12 and AB = 8.
1.
A
B
a) What is the length of CD? _
b) What is the length of BD? _
c) What is the perimeter of trapezoid ABDC? _
C
d) What is the area of trapezoid ABDC? _
2.
D
A right triangle has legs o
NAME _
1.
Find the radius of the circle that can be
circumscribed around the points X, Y, and
Z in the diagram at right.
XW = 18, WZ = 4, and WY = 12
(Hint: Visualize the entire circle)
2.
How far is point W from the center of the
circumscribed circle in
NAME _
Angles of a Circle Worksheet #5
For the circle at right, answer questions 1 20.
The following information is given.
AC is a tangent line.
HE is a diameter.
m BD = 70, m DE = 64
m EF = 84, m HG = 52
Find the measure of the
following arcs:
C
18
1. m
NAME _
Angles of a Circle Worksheet #3
C
For the circle at right, answer questions 1 19:
The following information is given.
m GF = 88
9
7
HE is a diameter.
A
52
B
AC is a tangent line.
m ED = 64, m BD = 52
6
D
8
64
1
Find the measure of the
following arc
NAME _
Angles of a Circle Worksheet #1
For the circle below, answer questions 1 22.
The following information is given.
HF and GM are diameters.
FH bisects LG
EJ is a tangent line.
m LM = 84, m DM = 108
Find the measure of the
following arcs:
1. m GH = _
NAME _
1.
Trigonometry Worksheet #1
For the triangle at right, fill in the following ratios:
sin A =
sin B =
cos A =
cos B =
tan A =
tan B =
A
18
C
B
24
What is the measure of angle A? m A = _
What is the measure of angle B? m B = _
2.
C
For the triangle
NAME _
1.
Trigonometry Worksheet #2
For the triangle at right, fill in the following ratios:
C
sin A =
cos A =
cos B =
tan A =
A
sin B =
tan B =
20
20 3
What is the measure of angle A? m A = _
What is the measure of angle B? m B = _
2.
B
C
For the triangl
Name_
Law of Sines/Cosines
Applications
For each word problem, draw a picture, write an equation and solve each problem. Make
sure you label your solution answering the question being asked.
(1)
Brianna is taking a walk along a straight road. She decides
NAME _
1.
Name the properties of a parallelogram (6)
2.
Name the special properties of a rectangle (3)
3.
Parallelogram Worksheet #1
Name the special properties of a rhombus (4)
Given that A ( 0 , 5 ) , B ( 3 , 1 ) and C ( 5 , 5 )
Find the following coord
On a piece of graph paper, draw the following line segments #1-10. Upon completion of
construction, connect the endpoints to create a quadrilateral. Provide the most specific name for
the quadrilateral you create for each activity.
1) Draw 2 intersecting
Name_
BONUS BUCKS
Use coordinate geometry to prove that the quadrilateral formed by joining the midpoints of the
sides of any quadrilateral is a parallelogram.
Given: Quadrilateral ABCD where E midpoint of , F midpoint of , G midpoint of and H
midpoint of
Livingston High School
Geometry Honors
NAME _
Similar Polygons #2
Questions 1 4: Determine if the triangles are similar:
If similar, a) determine the scale factor, b) determine the ratio of their
areas, and c) state the reason for the similarity.
If not s
NAME _
Inequality Practice
1.
Three consecutive sides of a quadrilateral are 8, 25, and 16. The remaining side must be
between _ and _ .
2.
If a triangle has side lengths of x + 2, 2x + 6 and 15, then what is the probability that a randomly selected
value
NAME _
Similar Polygons Practice 1
ABCD EFGH
AB = 8, CD = 12, EF = 20, BC = x
FG = x+6, AD = y+3 and EH = 3y
Questions 1 3:
What is the value of x? _
1.
C
B
y? _
A
2.
How long is GH? _
3.
D
G
EH? _
If ABCD has an Area = 128 , what is the
F
Area of EFGH ?
Angles of a Circle Theorems
A
The measure of a central angle of a circle is equal to the
measure of the intercepted arc.
P
B
The measure of an angle formed by a tangent line and
the radius is always a right angle.
P
T
J
The measure of an inscribed angle i
Proofs of the Circle Theorems related to segments and angles
Theorem
Explanation of proof and
example
Ice Cream Cone Theorem: Tangent segments
from a common external point are congruent. The
segment from the outside point to the center, bisects the angle,
NAME _
Right Triangles #3
Fill in the spaces below, based on the
30-60-90 triangle given below.
CD = _
12
AD = _
BD = _
BC =32
_
AC = _
AD = _
BD = _
15
3. AB = _
BC = _
AC = _
CD = _
AD = _
BD = _
4. AB = _
BC = _
AC = _
x
CD = _
AD = x+12
_
BD = _
90
60
NAME _
1.
Geometric Mean Practice
Find the missing sides for
the triangle at right.
w = _
x = _
y = _
2.
For the triangle at left, find the missing sides.
w = _ x = _ y =_
3.
Find the missing sides for
the triangle at right.
w = _
x = _
y = _
4.
Find the
NAME _
Trigonometry Worksheet #3
Law of Sines and Cosines
Find the missing pieces of a triangle given the following:
Label each triangle, set up equations and solve.
1.
m C=70, c = 8 and m A=30
2.
a=10, c=25, m C=124
3.
a=20, c=24, and m B=47
4.
m A=29, m
Name_
2012
HonorsGeometry
Date_Hour_
PartI
Fill in the blank with the MOST descriptive name for each quadrilateral.
1.Thequadrilateralwhoseconsecutivesideshavemeasures5,3,3,5isa(n)_.
2.
Ifconsecutivemidpointsofa
a) kitearejoined,thena(n)_isformed
b) recta