Download math 70 test 3 review 2015

Test 3 review (chapters 5 and 6)
Complete each statement. *Give an answer besides square.
1.
In an isosceles triangle, the base angles are —?—.
2.
The diagonals of a parallelogram —?— each other.
3.
Each angle of a regular decagon measures —?—.
4.
The length of a midsegment of a trapezoid is —?—of the lengths of the bases.
5.
The vertex angles of a kite are —?— by the diagonal.
6.
The consecutive angles of a parallelogram are —?—.
7.
The length of a midsegment between two sides of a triangle is —?— the length of the third side.
8.
*The diagonals of a —?— are perpendicular bisectors of each other.
9.
The opposite angles of a parallelogram are —?—.
10. The sum of the measures of the angles of a hexagon is —?—.
11. The midsegment of a trapezoid is —?— to the two bases.
12. The nonvertex angles of a kite are —?—.
13. *The diagonals of a —?— are equal in length.
14. The three midsegments of a triangle divide the triangle into —?—.
15. An equiangular quadrilateral is usually called a —?—.
88
Determine the measure of each lettered angle in the figure below.
16. a = –?–
d
17. b = –?–
19. d = –?–
88°
20. e = –?–
f
40
18. c = –?–
21. f = –?–
22. g = –?–
23. h = –?–
e
b
d
38°88°eb
f
d
7
0
°
38° egb c
7
5
°
h
f
70° g c
a h 75° 62°
70
g
c
h
76
58
a
10
24. Perimeter = 64
a = _____
x
96
25. a = _____b =_____x = _____y _____
38
x = _____
x
a
y
y = _____
a
24
31
47
b
a
26. a = _____
w = _____
x = _____
y = _____
x
31
y
w
60
55
46
Find the measure of each lettered angle in the figure below.
p
p/ / q
27. a = –?–
28. b = –?–
q
a
g
29. c = –?–
c
e
30. d = –?–
144
b
31. e = –?–
32. f = –?–
154


d h
f
33. g = –?–
34. h = –?–
35
.
36
.
.
37
.
Identify each statement as true or false.
38. If side AB is the largest side of a triangle, then the angle opposite side AB is the smallest angle.
39. The degree measure of an arc is equal to one half the measure of its central angle.
40.
The centroid of a triangle cuts the median into two parts, where the larger part is twice the smaller part.
41. The ratio of the diameter divided by the circumference of a circle is .
42. A chord is a segment connecting the center of a circle to any point of the circle.
43. Two circles are congruent if they have the same radius.
Complete each conjecture.
44. Tangent segments to a circle from a point outside the circle are —?—.
45. Every angle inscribed in a semicircle is a(n) —?—.
46. The arc length equals the degree measure of the arc divided by 360, times —?—.
47. A tangent to a circle is —?— to the radius drawn to the point of tangency.
48. The measure of a(n) —?— angle equals half the measure of the intercepted arc.
49. The opposite angles of a quadrilateral inscribed in a circle are —?—.
50.
Parallel lines intercept ____________on a circle
51.
Concentric circles share the same _________________.
52.
A Tangent line intersects ________ point/s of an object.
53. Construct the center of the circle and finish the circle.
Use your new conjectures to solve each problem.
54. a = –?–
55. b = –?–
56. f = –?–
108°
f
110°
88°
a
b
118°
161°
57. write in terms of p. What is the circumference?
58.
Circumference is 24p m. r = –?–
r
21 cm
59. r = 36 cm. The arc length of aAB is –?–.
B
110°
A
T
r
60. Use the figure. AB is tangent to circle R and the measure of arc HD = 50°. mHED = 38°.
a.
e.
m  EBD = ______
b. m  ACE = ______
m  DBA = ______

m GD = ______ g.
f.


c. m GB = ______ d. m GBD = ______
m  DFC = ______
B
A
G
R
F
C
H
D
E
61. How far will a wheel of radius 7 cm travel in 11 revolutions? Distance
_________
62. If the diameter of the moon is 3475 km and an orbiting lunar station is circling 21 km above the lunar
surface, find the distance traveled by the lunar station in one orbit. Distance _________
63. A Roach is orbiting a cheeto 4 inches from the center of the cheeto. It makes 1 revolution in 2 seconds.
Find the speed of the roach in inches per second.
64.a) A wheel of diameter 3 ft is spinning at 4,000 rpm. How far does the wheel travel in 3 minutes?
b)What is the speed of this wheel?
65. What is the measure of the angle formed by the hands of a clock at 9:40? at 9:52? hint: minute hand moves.
66.
What is the diameter of a circle that has an arc with a measure of 80° and an arc length
of 88,000cm?
67. The circumference of a tablecloth is 100 inches. Will it cover the top of a table with diameter 30 inches?
Explain
68. Construct the center of the circle using cords. Then find the exact measurement of the radius in mm.
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
Answers:
congruent
bisect
144 
half the sum
bisected
supplementary
half
rhombus
congruent
720 
parallel
congruent
rectangle
4 congruent triangles
rectangle
61 
130 
130 
59 
111 
86 
83 
144 
a= 22, x=96  , y=144 
a=31, b=38, x=47  , y=133 
a=58, w= 125  , x=120  , y=55 
72 
36 
36 
64 
108 
26 
72 
80
16, 90 deg, 16
45 deg, 90 deg, 24
6 ,11, 90 deg
38. F, largest as w ell
39. F, They are the sam e.
40. T
41. F, Circum ference d ivid ed by the d iam eter.
42. F, That is a rad ius.
43. T
44. Congruent.
45. right angle
46. the circum ference.
47. perpend icular.
48. inscribed .
49. supplem entary.
50. congruent arcs.
51. center.
52. one, one.
53. ASK
54. 59 d eg.
55. 126 d eg.
56. 66 d eg.
57. 42  cm or 131.95 cm
58. 12 m
59. 69.12 cm
60. a) 25
b) 52
c) 76
d)
256
e) 90
f) 104
g)
65
61. 483.81 cm
62. 11048.98 km
63. 12.57 in/ sec
64. a) 113097.34 ft
b) 37699.11 ft per m in.
or 428.4 m ph
65. 50 d eg, 16 d eg
66. 126050.71 cm
67. yes, the circum ference of the table is only
94.2 in.
68. Look in notes