M2 GEOMETRY PACKET 1 FOR UNIT 7 – PROPERTIES OF CIRCLES
REVIEW FOR SECTIONS 10-1 TO 10-5
Label all answers with appropriate units when given.
Use the circle with center P at right to answer questions 1-6:
1. Name the circle.
2. Name all radii shown.
3. Name all chords shown.
4. Name all diameters shown.
5. Suppose the diameter of the circle is 16 cm. Find the radius.
6. If PC = 11 in., find AB.
7. The diameter of ⨀F is 5 cm, and the diameter of ⨀G is 6 cm. Find each measure.
a. BF = ______
b. AB = ______
8. The diameter of ⨀L is 20 in. and the diameter of ⨀M is 13 in. Also, QR = 4. Find each measure.
a. LQ = ______
b. RM = ______
Find the diameter and radius of a circle with the given circumference. Round to the nearest hundredth.
9. C = 36 m
10. C = 17.2 ft
15
M2 GEOMETRY PACKET 1 FOR UNIT 7 – PROPERTIES OF CIRCLES
Find the exact circumference of each circle.
11.
12.
and EB are diameters of ⨀R. Identify each arc as a major arc, minor arc,
or semicircle of the circle. Then find its measure.
13.
a. m
b. m
c. m
d. m
e. m
f. m
14.
and
are diameters of ⨀A. Find each measure.
a. m
b. m
c. m
d. m
e. m
f. m
g. m
h. m
16
M2 GEOMETRY PACKET 1 FOR UNIT 7 – PROPERTIES OF CIRCLES
Use ⨀D to find the length of each arc. Round to the nearest hundredth.
15.
if the radius is 5 inches
16.
if the diameter is 3 yards
17.
if JD = 7 centimeters
18.
if NL = 12 feet
20.
if KD = 15 inches
19.
if DM = 9 millimeters
Find the value of x in each circle.
21.
22.
23.
24.
25.
26.
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M2 GEOMETRY PACKET 1 FOR UNIT 7 – PROPERTIES OF CIRCLES
In ⨀Y the radius is 34, AB = 60, and m
= 71. Find each measure.
27. m
28. m
29. AD
30. BD
31. YD
32. DC
33. In ⨀U, VW = 20 and YZ = 5x. What is x?
34. In ⨀Z,
≅
, SZ = x + 4, and UZ = 2x − 1. What is x?
Find each measure.
35. m
36. m∠E
18
M2 GEOMETRY PACKET 1 FOR UNIT 7 – PROPERTIES OF CIRCLES
Find each measure.
37. m∠ R
38. m
39. m∠N = ______
m∠L = ______
40. m∠C = ______
41. m∠J = ______
m∠K = ______
42. m∠S = ______
19
m∠A = ______
m∠R = ______
M2 GEOMETRY PACKET 1 FOR UNIT 7 – PROPERTIES OF CIRCLES
Determine whether each segment is tangent to the given circle. Justify your answer.
43.
44.
Find x. Assume that segments that appear to be tangent are tangent. Round to the nearest tenth if
necessary.
45.
46.
47.
48.
For each figure, find x. Then find the perimeter.
49.
50.
20