Class:
Name:
Date:
Ill: A
'11 9 & 10 Review
Multiple Choice
klentill , the choice that best completes the statement or answers the question.
Assume that lines that appear to be tangent are tangent. 0 is the center
x. (Figures are not drawn to scale.)
B
.
2.
the circle. Find the value of
mr0 =111
a.
13
or
69
291
c.
55.5
d. 222
BC is tangent to circle A at B and to circle D at C (not drawn to scale).
AB 7, BC 18, and DC = 5. Find AD to the nearest tenth.
B
a.
18.7
b.
18.1
c.
1
21.6
d.
19.3
ID: A
Name:
y)
3. A chain fits tightly around two gears as shown. The distance between the centers of the gears is 20 inches.
The radius of the larger gear is 11 inches. Find the radius of the smaller gear. Round your answer to the
nearest tenth, if necessary. The diagram is not to scale.
-
19 inches
ze
-11
2
y
1
G-
a.
17.2 inches
b.
6.2 inches
c.
11 inches
.
2_
4.8 inches
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to
scale.
V..)
4.
FG
I
OP , R,S` _L OQ, Fr; =
40.
RS =
37,
OP —
19
R
71.G1 -17,s L,=.-
a.
—‘7--
7.2
b.
18.5
c.
19
b.
5
c.
6
Cd.
20.5
5
a.
8
2
d.
10
Name:
ID: A
8.
a.
21.9
b.
181.3
a.
18.8
b.
120
mLR =-= 22.
Find
c.
5.3
inZO. (The figure is not drawn to scale.)
R
a.
68
b. 22
c.
3
158
d. 44
ID: A
Name:
9. Find the measures of the indicated angles. Which statement is NOT true? (The figure is not drawn to scale.)
/127' b = 106°
= 53°
10.
c. =
d. d 37°
7311.)
BD is tangent to circle 0 at C, nz(arc AEC) = 279, and m LACE — 85. Find in LDCE.
(The figure is not drawn to scale.)
a.
A
c.
109
b.
97
c.
54.5
48.5
d.
0
11. Find the value ofx for in(arc AB) = 46 and in(are CD) = 25. (The figure is not drawn to scale.)
D
C
ti
trALt.
( L-1 L, -04:S)
“:71
Ca.
(57
B
35.5°
35.
b.
58.50
c.
4
71°
d.
21°
Name:
ID: A
12. Construct the line perpendicular to AL at point M.
ailLIMMIC11 ■91111.2111.01■1•11=eirbilli•IIIMIM.P101115.14)
C.
,.Maur/1
b:
5
AZ•VP.,..ENE
Ill: A
Name:
13. Construct the line that is perpendicular to the given line through the given point.
A
a.
C.
6
Name:
d
ID: A
Use formulas to find the lateral area and surface area of the given prism. Show your answer to the
nearest whole number.
14.
7 , 5A-7 , 5 +(. 5.cs3 A 3 4r) k (3(• ..3) r
Z09-9 1
+ 1'60
pfD6
3m
Not drawn to scale
a.
468 m 2 ; 519 m2
504 m 2 ; 512 m2
b.
468 rn 2 ; 534 m2
504 m 2 ; 519 in
15. A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the
boxes. Find the lateral area and the surface area of the box to the nearest whole number.
LA- 1)x
2.,s4)1z.,
2.54 cm
12 cm
rzsOftto
Not drawn to scale
2(S.. Z.S4)
a.
90 cm ? ; 146 cm2
c.
181 cm' 206 cin_i
b.
90 cm 2 ; 206 cm2
d.
181 cm 2 ; 146 cm'
Find the surface area of the cylinder in terms of Ir.
16.
•
ri-
-
8 1 11. "'
I (1_, If
11 in.
)(
0-t it
Not drawn to scale
a.
688 in.2
3042-r in.
c.
7
176n- in. 2
d.
2087r in.2
ID: A
Name:
Find the volume of the given prism. Round to the nearest tenth if necessary.
17.
22 yd
15)
15 yd
Not drawn to scale
b.
yd 3
1750.1 yd3
c. 4286.8 yd 3
d. 2475.0 ye
c.
d.
18.
17 tri
m
••—. _.
i•n
Ca>1 17 m 3
b. 34 1113
8.5 m 3
1 M3
19. Find the volume of the composite space figure to the nearest whole number.
/
// 6 cm
///
3 cm
cm
8 cin`l1 2 cm
a.
170 cm'
c.
SY 7)‘,
----
vic)
120 cm 3
z,),SAC
=
8
d. GO cm3
ID: A
Name:
Find the volume of the cylinder in terms of 7r.
0,,
20.
7 in
i 1760)
L g
Not drawn to scale
a.
C✓
) 490;c in.'
140 g in.'
c.
707c in.'
d.
245 ir in.'
54 g in.'
d.
3247r in.'
21.
3
h = 6 and r
a.
27 g in.'
b.
1087r in.
22. Find the volume of the composite space figure to the nearest whole number.
3;3c,
6 mm
Ykt
1 1 mm
inn
A
Not drawn to scale
5
a. 546 mm'
h.
174
111111
e.
() c 02_
9
438 mm3
364 null'
3-'50
3'6
Name:
ID: A
23 . Find the hen2,ht of the cylinder.
= 271.4 in3
...__-__
6 in.
---
_..---/
h
ri
a.
A
2.4 in.
b.
7.2 in.
c.
14.4
d.
4.8 in.
24. The volume Dia cylinder is 9807r in.'. The height of the cylinder is 20 in. What is the radius of the cylinder?
d. 18 in.
(9 7 in.
b. 49 in.
c. 327 in.
611 6 0-
Short Answer
25.
fl 2-C.)
CD = 42, OM — 17, ON= 16, CD I OM, EF I ON (The figure is not drawn to scale.)
E
a.
b.
c.
Find the radius. If your answer is not an integer, express it in radical form.
Find EN. If your answer is not an integer, express it in radical form.
Find EF. Express it as a decimal rounded to the nearest tenth.
\r;
2
T',50
R.
ko
10
Name:
Ill: A
26. a. Find x. (The figure is not drawn to scale.)
b. is the triangle equilateral, isosceles, or scalene? Explain.
J)
(DO ---- -221
(10x +10)°
(DO
SCA-Mt-
A
(A t 4 (--cmc-q
11
'V-)YCCO
ctreprt(
t •
1,
L