Download Indicate whether the statement is true or false.        1. If   bisects  , then 

Name: Class: Date: Practice Exam III - Chapters 5 & 6
Indicate whether the statement is true or false.
1. If bisects a. True
b. False
2. In the figure, a. True
b. False
, then .
is said to be circumscribed about the circle.
3. In a circle (or congruent circles) containing two unequal chords, the shorter chord is nearer the center of the
circle.
a. True
b. False
4. Two circles that are internally tangent have three common tangent lines.
a. True
b. False
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
5. If and a. True
b. False
are divided proportionally at points M and N (as shown), then .
6. The simplified form of the ratio “6 inches to 1 foot” is 6:1.
a. True
b. False
7. Because a. True
b. False
8. If central angle a. True
b. False
intercepts of , m
intercepts minor arc Copyright Cengage Learning. Powered by Cognero.
= m
of .
, then m
= m
.
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
9. The triangle with sides of lengths a = 4, b = 5, and c = 7 is an obtuse triangle.
a. True
b. False
10. In a circle in which m
a. True
b. False
m
11. With the circle inscribed in a. True
b. False
12. If a. True
b. False
in , then Copyright Cengage Learning. Powered by Cognero.
, it follows that .
, it follows that AR = AS, BS = BT, and CR = CT.
.
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
13. Given that a. True
b. False
, it follows that .
14. If two inscribed angles of a circle intercept the same arc, these angles are congruent.
a. True
b. False
15. When two secants intersect at a point in the exterior of a circle, the measure of the angle formed is one-half the
positive difference of the measures of the two intercepted arcs.
a. True
b. False
Indicate the answer choice that best completes the statement or answers the question.
16. In a. 3
c. 3.5
, bisects b. 3.3
d. 4
17. Given that a. AA
b. SAS
c. SAS
d. SSS
. If and Copyright Cengage Learning. Powered by Cognero.
, , and , find XW.
, which method justifies that ?
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
18. In the figure, . If a. 65
b. 75
c. 85
d. None of These
19. In a. 3
c. , radius chord b. 3.5
d. 4
and , find the value of x.
at point C. If OD = 5 and AB = 8, find OC.
20. What is the measure of the angle formed by the hands of a clock at exactly 4:20 PM?
a. 30°
b. 33°
c. 35°
d. 10°
21. How many common tangents do these circles have?
a. 1
b. 2
c. 3
d. 4
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
22. Solve the proportion a. c. for x.
b. d. None of These
23. In the figure, . If a. 4.75
b. 5.75
c. 8.75
d. None of These
, and , find VZ.
24. In the circle, m = 68° and m
a. 34°
b. 37°
c. 71°
d. 142°
= 74°. Find m
.
25. , , find DF.
. If a. 12
c. 16
, , , and b. 15
d. 18
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
26. In the figure, and are tangents to the circle from point D. If m
a. 42°
b. 84°
c. 96°
d. None of These
27. In a. c. , and are minor arcs for which m
b. m
is nearer to center O than m
m
= 84°, find m
.
. Which must be true?
d. None of These
28. In the figure, a bird (at point B) is 36 feet above the ground. Meg is 60 feet from the bird while Mara is 39 feet
from the bird. How far apart are Meg and Mara?
a. 60 feet
b. 61 feet
c. 63 feet
d. 99 feet
29. Where a. (45,28,53)
c. (10,18,28)
, , and b. (47,53,56)
d. (20,21,29)
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, determine the Pythagorean Triple generated by and .
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
30. Point P lies in the exterior of so that is tangent to the circle. Also, B and C, where P-B-C. If PB = 9 and BC = 7, find PA.
a. 10
b. 12
c. 16
d. None of These
is a secant that intersects 31. Externally tangent circles P and Q touch at point T and have the line of centers common internal tangent for circles P and Q?
at
. How does one construct the
32. What is the name of this property?
If , then .
33. How many common tangents do two internally tangent circles have?
34. Quadrilateral ABCD quadrilateral HJKL. If x.
, , , and , find
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
35. The figure shows right triangle ABC with and . Also, , what reason allows you to conclude that . Where , , , ,
?
36. In , and the length of the hypotenuse is 10. If one leg is twice as long as the other leg, find the
length of the shorter leg. Express answer as a simplified square root.
37. In , radii and are congruent to chord . Find m
.
38. Find the measure of the angle formed by the hands of a clock at exactly 4:10 PM.
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
39. is circumscribed about the circle. If DF = 14, FG = 16, and DG = 12, find DM.
40. In an equilateral triangle, each side measures 12 cm. Find the length of the altitude of this triangle.
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
41. Provide the missing statements and missing reasons for the following proof.
Given: Prove: and ; and S1. R1. Given
S2. R2.
S3. R3.
S4. R4. CASTC
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
42. Supply missing statements and missing reasons in the following proof.
Given: Prove: in the figure shown
S1. R1.
S2. R2.
S3. R3. Vertical angles are congruent.
S4. R4.
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
43. Supply missing statements and missing reasons for the following proof.
Given: Prove: in is an isosceles triangle
S1. R1.
S2. S3. R2.
R3.
S4. ? and ? R4. The degree measure of an iscribed angle is equal to one-half
the degree measure of its intercepted arc.
S5. R5.
S6. R6. Definition of congruent angles
S7. R7. If two angles of a triangle are congruent, then the two sides
that lie opposite those angles are also congruent.
S8. R8.
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
44. Supply all statements and all reasons for the proof that follows.
Given: ; Prove: Copyright Cengage Learning. Powered by Cognero.
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Name: Class: Date: Practice Exam III - Chapters 5 & 6
45. Supply missing statements and missing reasons for the following proof.
Given: Chords Prove: , S1. R1.
S2. R2.
S3. R3. If 2 inscribed S4. R4.
, , and as shown
intercept the same arc, these are .
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