Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
|
|
|
Find the measurement of the segment.
|
|
|
1.
|
 mm, 
mm
PS =
? a. | 32.7
mm | c. | 32.5
mm | b. | 5.1
mm | d. | 32.4
mm | | | | |
|
|
|
In
the figure,  bisects  .
|
|
|
2.
|
If
 and  , find
x.
|
|
|
Write the converse of the conditional statement. Determine whether the converse is
true or false. If it is false, find a counterexample.
|
|
|
3.
|
All
Jack Russells are terriers. a. | If a dog is a terrier, then it is a Jack Russell. False; it
could be a Scottish terrier. | b. | If it is a Jack Russell, then a dog is a terrier.
True | c. | If a dog is a
terrier, then a dog is a terrier. True | d. | All Jack Russells are terriers. True | | |
|
|
|
Determine the slope of the line that contains the given points.
|
|
|
4.
|
|
|
|
5.
|
In
the figure,  . Find  .
|
|
|
6.
|
In
the figure,  and  . Find the measure
of angle WSP.
|
|
|
Find each measure.
|
|
|
7.
|
|
|
|
Name the congruent angles and sides for the pair of congruent
triangles.
|
|
|
8.
|
|
|
|
Identify the congruent triangles in the figure.
|
|
|
9.
|
|
|
|
10.
|
Find
x so that  .
|
|
|
Write an equation of the line that passes through each point with the given
slope.
|
|
|
11.
|
|
|
|
Use the diagram to find the measure of the given
angle.
|
|
|
12.
|
|
|
|
Graph each figure and its image under the given translation.
|
|
|
13.
|
 with vertices 
under the translation left three units and down two units
|
|
|
14.
|
In a
bag of marbles,  are blue,  are white,  are red, and  are green. If
Kathryn takes a marble from the bag without looking, which color is it most likely to
be? a. | blue | c. | white | b. | red | d. | green | | | | |
|
|
|
Find the area of the figure. Round to the nearest tenth if
necessary.
|
|
|
15.
|
a. | 541.9 units2 | c. | 192 units2 | b. | 624
units2 | d. | 315.8
units2 | | | | |
|
|
|
16.
|
Find
x.
|
|
|
17.
|
Find
x and y.
|
|
|
18.
|
Find
x.
|
|
|
Write an equation of the line with the given slope and
y-intercept
|
|
|
19.
|
slope:  , y-intercept: –3 a. | y =  x – 3 | c. | y =  x +
3 | b. | y =  x – 3 | d. | y =  x –
3 | | | | |
|
|
|
20.
|
A
quadrilateral MUST be a trapezoid if it has a. | exactly one pair of parallel
sides | d. | four right
angles | b. | one pair of adjacent sides
equal | e. | a diagonal as
axis of symmetry | c. | two pairs of parallel sides | | | | |
|
|
|
Find the volume of the prism. Round to the nearest tenth if
necessary.
|
|
|
21.
|
a. | 1120.0 cm 3 | c. | 660.4
cm 3 | b. | 560.0
cm 3 | d. | 437.1 cm 3 | | | | |
|
|
|
22.
|
Rachel completed her first three math tests with an average (arithmetic mean) score of
72. After the fourth test, her average was 78. What was her score on the fourth
test?
|
|
|
23.
|
Name
three points that are collinear.
a. | M, L,
R | c. | Q, L,
M | b. | L, P, T | d. | R, S, K | | | | |
|
|
|
Use a matrix to find the coordinates of the vertices of the image of each figure
under the given translation.
|
|
|
24.
|
|
|
|
25.
|
Find
x. Assume that segments that appear tangent are tangent.
|
|
|
Find the volume of the solid formed by the net. Use 3.14 for p when needed.
Round to the nearest tenth.
|
|
|
26.
|
a. | 12.9 ft 3 | c. | 9.2 ft 3 | b. | 18.5 ft 3 | d. | 4.1 ft 3 | | | | |
|
|
|
27.
|
In
this figure  is a stright line.
What is the measure, in degrees, of angle CBD? a. | 83.1° | c. | 48.475° | b. | 90° | d. | 75° | | | | |
|
|
|
28.
|
Find
the area of the figure.
|
|
|
29.
|
Find the area of
the figure above. Round to the nearest tenth if necessary.
a. | 85
m² | c. | 70.83
m² | b. | 49.17 m² | d. | 35 m² | | | | |
|
|
|
30.
|
Parallelogram ABCD and EFGH are similar. Of the following, which
is the length of  ?
If  11 m ,  7 m, and  5 m. Round to the nearest tenth if
necessary.
a. | 3.18
m | c. | 7.86
m | b. | 35
m | d. | 15.4
m | | | | |
|
|
|
31.
|
Rachael completed her first three math tests with an average (arithmetic mean) score
of 68. After the fourth test, her average was 72. What was her score on the fourth
test?
|
|
|
Find the area of the indicated sector(s). Then find the probability of spinning the
color indicated if the diameter of the spinner is 12.
|
|
|
32.
|
red
a. | 58.7
units2, 0.48 | c. | 234.872
units2, 0.48 | b. | 58.7 units2, 0.52 | d. | 234.872 units2, 0.52 | | | | |
|
|
|
33.
|
Find
the measurment of arc AC
|
|
|
34.
|
Find
x
|
|
|
Determine whether each pair of triangles is similar. Justify your
answer.
|
|
|
35.
|
a. | No; the sides are not congruent. | b. | yes;  by SSS Similarity | c. | yes;  by ASA Similarity | d. | yes;  by SAS Similarity | | |
|
|
|
36.
|
Of
the following, which is the width of a box of cereal that has a volume of 7904 cubic centimeters, and
measures 26 centimeters in length and 38 centimeters in height? (The formula for volume is
V = lwh.) a. | 0.125 cm | d. | 8 cm | b. | 0.125 cm | e. | 2.7 cm | c. | 8
cm | | | | |
|
|
|
37.
|
Find
the measure of each interior angle for a regular pentagon. Round to the nearest tenth if
necessary.
|
|
|
Position and label each quadrilateral on the coordinate plane.
|
|
|
38.
|
square with side length b units
|
Short Answer
|
|
|
39.
|
In
 ,  and  are diameters, and  .
Find m arc ADC.
|
|
|
40.
|
A can
of soup measures 4 inches high. The radius of the bottom of the can is 2 inches. What is the volume
of the can to the nearest cubic inch? (The formula for the volume of a cylinder is V =
 r2h.)
|
|
|
41.
|
The
figure consists of 6 squares of equal size. The area of the whole figure is 384
cm2.
(a) Find the area of one square in square
centimeters.
(b) Find the length of the side of one square in
centimeters.
(c) Find the perimeter of the whole figure in
centimeters.
|
Essay
|
|
|
42.
|
A
food manufacturer packages vegetables in the cylindrical can shown in the diagram at left for sale to
restaurants. They want to sell the vegetables to consumers in grocery stores as well, and need to
provide them in smaller cans. They have decided to halve the height of the
can.
a. Find the surface area of each can. Use 3.14 for
p. Explain the
effect of halving the height on the amount of material used to produce the can.
b. Find the volume of each can.
Use 3.14 for p. Explain the effect of halving the height on the amount of product that can fit
inside.
|