Download b g b g

NAME___________________________________ DATE__________ PD. ____\
GEOMETRY CHAPTER 10 PRACTICE TEST
1. Identify all chords for circle O.
A
10
F H
•
A
G
•
B
5
r
O
•O
•
C
•
B
D
•
E
2. Identify all tangents for circle O.
y
F H
•
A
G
6. Give the center and radius of circle A and circle
B. Describe the intersection of the two circles and
describe all common tangents.
10
•
B
•O
A
10 x
–10
•
C
•
B
D
–10
•
E
3. A circle is the set of all points in a plane that
_____.
7. Given: ST is tangent to
Find RT.
R at S
[A] have a center
[B] are equidistant from a given point
[C] have a diameter
)
8. Find m PQ in A. Drawing is not to scale.
b2 y − 15g
[D] lie within a given radius
4. Define a secant of a circle and illustrate the
definition on the circle below.
Q
P
A
S
5. AB is tangent to O at A (not drawn to scale).
Find the length of the radius r, to the nearest tenth.
°
b y + 45g
9. Given: In
R
°
O, m BAC = 294 ° . Find m ∠ A.
NAME___________________________________ DATE__________ PD. ____\
GEOMETRY CHAPTER 10 PRACTICE TEST
C
16
5
O
B
x
A
[A] 33 °
[A] 16.8
[B] 27 °
[B] 8.1
[C] 16.5 °
[C] 9.4
[D] 13.5 °
[D] 15.2
10. Identify the minor congruent arcs in the figure.
B
13. Given: P and PT ⊥ to chord RS at T. Decide
whether or not RT = TS. Explain your
reasoning.
A
C
35°
45°
70°
D
25°
60°
G
55°
70°
E
14. Find m ∠ PSQ if m ∠ PSQ = 3 y − 10 and
m ∠ PRQ = 2 y + 10 .
F
11. Given circle O with radius 34 and OC = 16.
Find the measure of AB .
A
C
O
Q
P
B
S
[A] 10 °
[B] 25 °
12. Find the value of x.
[C] 20 °
R
NAME___________________________________ DATE__________ PD. ____\
GEOMETRY CHAPTER 10 PRACTICE TEST
[B] 113°
[D] 50 °
15. Given: m ∠ X = 100°; WZ ≅ YZ ; m ∠ Y = 100°
X
[C] 134°
[D] 226°
18. Find the value of x.
W
Y
7
8
19
Z
x
Refer to the diagram to find the measure of each of
the following:
A. ∠ Z
B. WZ
C. ∠ W
D. WX
)
)
)
)
19. Find the length of the missing segment to the
nearest tenth.
16. Find the value of x if m AB = 23° and m CD
= 41° (not drawn to scale).
•
40
D
•
9
O
C
•
10
•
?
•
x°
A
20. Given: m ∠ IED = 94 ° and m ∠ JFG = 97 °
Find the measure of each unknown angle. (not
drawn to scale)
B
)
)
17. Given: m SQ = 106°, m PR
I
E
= 120°
F J
2
Find m ∠ x.
3
D
[A] 67°
[A]
1
4
G
NAME___________________________________ DATE__________ PD. ____\
GEOMETRY CHAPTER 10 PRACTICE TEST
m∠1 = 83° , m∠2 = 86° , m∠3 = 94° , m∠4 = 97°
A
[B]
m∠1 = 86° , m∠2 = 83° , m∠3 = 94° , m∠4 = 97°
O
B
[C]
m∠1 = 83° , m∠2 = 86° , m∠3 = 97° , m∠4 = 94°
[D]
m∠1 = 86° , m∠2 = 83° , m∠3 = 97° , m∠4 = 94°
D
C
[A] 35.7
[B] 33.0
21. In the figure shown (not drawn to scale),
mBCD = 112° , mDEF = 98° , mFGH = 130° ,
and mHAB = 20° . Find m ∠FPD .
D
•
C
•
P•
•
•A
•
H
•
G
[D] 55.0
24. Find the equation of the circle of radius 3 with
its center at the origin.
•E
B
[C] 16.5
•
F
[A] 20 °
25. Find the equation of the circle with center (5, –
2) and radius of 2.
26. Find the length of the leg of this right triangle.
LEAVE ANSWER IN SIMPLIFIED RADICAL
FORM.
9
a
[B] 39 °
[C] 16 °
[D] 92 °
22. Find the measure of ∠ 1.
7
27. Find the altitude of an isosceles triangle with
base 10 and congruent sides of length 9.
28. Given: Rectangle PQRS with QR = 8 and SQ =
10. What is the value of y?
23. Find the diameter of the circle. BC = 11, and
DC = 22. Round your answer to the nearest tenth.
29. Find the area of this right triangle if b = 10 and
c = 2 41.
NAME___________________________________ DATE__________ PD. ____\
GEOMETRY CHAPTER 10 PRACTICE TEST
y
x
60°
c
20
a
37. Find the value of x and y .
y
b
7
30°
30. A set of Pythagorean triples is _____.
x
[A] 1, 1, 2
[B] 3, 5, 9
[C] 6, 9, 12
[D] 5, 12, 13
38. Find the value of x, to the nearest whole
number. (not drawn to scale)
A
x
8
28°
C
B
31. Which set of lengths cannot form a right
triangle?
[A] 4 mm, 7.5 mm, 8.5 mm
39. Solve the right triangle: α = 40° and a = 17;
find β , b, and c
[B] 8 mm, 15 mm, 17 mm
[C] 16 mm, 30 mm, 34 mm
c
α
b
β
a
[D] 9 mm, 15 mm, 17 mm
32. A triangle has side lengths of 6, 9, and 11.
Decide whether it is an acute, right, or obtuse
triangle. Explain.
33. Write the ratio of side lengths to hypotenuse in a
45-45-90 right triangle.
34. Write the ratio of side lengths to the hypotenuse
in a 30-60-90 right triangle.
35. What is the length of the diagonal of a square
with side lengths 7 2?
36. Find the value of x and y.
40. To find the height of a tower, a surveyor
positions a transit that is 2 m tall at a spot 55 m
from the base of the tower. She measures the angle
of elevation to the top of the tower to be 51 ° . What
is the height of the tower, to the nearest meter?
NAME___________________________________ DATE__________ PD. ____\
GEOMETRY CHAPTER 10 PRACTICE TEST
; CG ≅ EB
Reference: [10.1.1.1]
[1] AF , AB
Reference: [10.1.1.1]
Reference: [10.2.2.38]
[11] 60
[2] CE
Reference: [10.1.1.6]
[3] [B]
Reference: [10.1.1.12]
[4] A secant of a circle is a line that intersects a
circle twice. Sketches vary. For example,
Reference: [10.2.2.39]
[12] [C]
Reference: [10.2.2.43]
[13] Yes, RT = TS. A diameter that is perpendicular
to a chord bisects the chord and its arc (Theorem
10.5).
Reference: [10.3.1.50]
[14] [D]
Reference: [10.1.2.19]
[5] 7.5
Reference: [10.1.1.14]
[6]
The center of circle A is ( –3, 0), and its radius is 2.
The center of circle B is ( –3, 6) and its radius is 4.
The circles intersect at (–3, 2).
The only tangent is the line y = 2.
)
Reference: [10.4.2.72]
[16] 32°
Reference: [10.4.2.75]
[17] [B]
Reference: [10.1.2.23]
[7] 425 = 5 17 ≈ 20.6
Reference: [10.5.1.78]
5
[18] 21
7
Reference: [10.2.1.30]
[8] 105 °
Reference: [10.5.2.80]
[19] 34.1
Reference: [10.2.1.31]
[9] [A]
Reference: [10.2.1.37]
[10]
CD ≅ EF ; BG ≅ FD ≅ EC; BF ≅ GD ≅ DA; AF ≅ DB
)
Reference: [10.3.2.56]
[15] A. m ∠ Z = 80° B. m WZ = 100°
m ∠ W = 80° D. m WX = 100°
Reference: [10.3.2.55]
[20] [C]
Reference: [10.4.2.67]
[21] [B]
C.
NAME___________________________________ DATE__________ PD. ____\
GEOMETRY CHAPTER 10 PRACTICE TEST
Reference: [10.4.1.62]
[22] 70°
Reference: [10.5.2.79]
[23] [B]
Reference: [9.3.2.34b]
[34] 1:1 3 :2
Reference: [9.4.1.42]
[35] 14
Reference: [10.6.1.81]
[24] x 2 + y 2 = 9
Reference: [9.4.1.46]
[36] x = 10, y = 10 3
Reference: [10.6.1.82]
2
2
[25] x − 5 + y + 2 = 4
b g b g
Reference: [9.4.1.45]
[37] x = 7 3 , y = 14
Reference: [9.2.2.9a]
[26] 4 \/ 2
Reference: [9.6.1.77]
[38] 17
Reference: [9.2.2.16]
[27] 56 or 2 14
Reference: [9.6.1.83]
[39] β = 50°
Reference: [9.2.2.17]
[28] 6
b ≈ 20.26
c ≈ 26.45
Reference: [9.2.2.23]
[29] 40
Reference: [9.5.2.72]
[40] 70 m
Reference: [9.2.2.25]
[30] [D]
Reference: [9.3.1.29]
[31] [D]
Reference: [9.3.2.32]
[32] Since 62 + 9 2 < 112 , it is an obtuse triangle.
Reference: [9.3.2.34a]
[33] 1:1: 2