Name: 
 

Practice Test - DQA # 3, Geometry; Calculators Recommended!



This assessment covers each of the following indicators: G.1.1, G.1.3, G.1.4,G.3.1, G.3.3, G.2.2, G.4.6, G.5.1, G.5.3, and G.6.7.

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1 

If mc001-1.jpg, which of the following can you NOT conclude as being true?
A
mc001-2.jpg
B
mc001-3.jpg
C
mc001-4.jpg
D
mc001-5.jpg
 
 
Find the area of the trapezoid.
 

 2 

mc002-1.jpg
A
190 yd2
B
780 yd2
C
200 yd2
D
390 yd2
 
 
Listed in the table is the percent of tenth grade students who chose each kind of juice at lunch time.

Grape Juice
20%
Orange Juice
15%
Fruit Punch
25%
Apple Juice
40%
 

 3 

Use the table above. Find the measure of the central angle you would draw to represent fruit punch in a circle graph.
A
45°
B
90°
C
75°
D
25°
 

 4 

The length of the hypotenuse of a 30°-60°-90° triangle is 13. Find the perimeter.
A
13 + 39mc004-1.jpg
C
mc004-5.jpg + mc004-6.jpgmc004-7.jpg
B
mc004-2.jpg + mc004-3.jpgmc004-4.jpg
D
39 + 13mc004-8.jpg
 

 5 

Is the line through points P(–4, –7) and Q(–7, 8) parallel to the line through points R(0, –1) and S(4, –2)? Explain.
A
Yes; the lines have equal slopes.
B
No, the lines have unequal slopes.
C
No, one line has slope, the other has no slope.
D
Yes; the lines are both vertical.
 

 6 

Find mc006-1.jpg The diagram is not to scale.
mc006-2.jpg
A
106
B
113
C
67
D
77
 

 7 

Find the values of the variables in the parallelogram. The diagram is not to scale.
mc007-1.jpg
A
mc007-2.jpg mc007-3.jpg mc007-4.jpg
C
mc007-8.jpg mc007-9.jpg mc007-10.jpg
B
mc007-5.jpg mc007-6.jpg mc007-7.jpg
D
mc007-11.jpg mc007-12.jpg mc007-13.jpg
 

 8 

A rickshaw’s front wheel has a diameter of 26 inches. About how far does the rickshaw travel each time the front wheel goes around four times?
mc008-1.jpg
A
408 inches
B
245 inches
C
82 inches
D
327 inches
 
 
Find the area of the quadrilateral shown.
 

 9 

Find the area of the rhombus.
mc009-1.jpg
A
7.5 m2
B
12.5 m2
C
50 m2
D
625 m2
 

 10 

The legs of an isosceles right triangle are 7 cm long. Find the length of the hypotenuse. Round to the nearest tenth if necessary.
A
9.9 cm
B
14 cm
C
4.9 cm
D
12.1 cm
 

 11 

What is the most precise name for quadrilateral ABCD with vertices A(–3, 2), B(–1, 6), C(6, 6), and D(4, 2)?
A
rhombus
B
parallelogram
C
rectangle
D
quadrilateral
 
 
Find the slope of the line through the pair of points.
 

 12 

C(–2, –8), B(8, 6)
A
mc012-1.jpg
B
mc012-2.jpg
C
mc012-3.jpg
D
mc012-4.jpg
 

 13 

Find the sum of the measures of the interior angles of a heptagon.
A
720mc013-1.jpg
B
1,080mc013-2.jpg
C
1,260mc013-3.jpg
D
900mc013-4.jpg
 

 14 

Find the coordinates of the midpoint of the segment whose endpoints are H(6, 6) and K(4, 4).
A
(5, 5)
B
(1, 1)
C
(10, 10)
D
(2, 2)
 

 15 

Is line l parallel to line m? Explain.
mc015-1.jpg
Not drawn to scale
A
Yes; alternate interior angles are congruent.
B
No; alternate interior angles are not congruent.
C
Yes; corresponding angles are congruent.
D
No; corresponding angles are not congruent.
 

 16 

Find the distance between points P(1, 9) and Q(7, 1) to the
nearest tenth.
A
14
B
100
C
12.8
D
10
 

 17 

Find the missing angle measures. The diagram is not to scale.
mc017-1.jpg
A
x = 51, y = 130
C
x = 130, y = 51
B
x = 51, y = 140
D
x = 140, y = 117
 

 18 

QR @ SR and PR @ TR. Select the correct congruence statement for the two triangles. What rule proves the congruence?
mc018-1.jpg
A
DQPR @ DSTR; ASA
C
DQPR @ DRTS; SAS
B
DQPR @ DSTR; SAS
D
DQPR @ DRTS; SSS
 

 19 

In triangle ABC, mc019-1.jpg is a right angle and mc019-2.jpg 45°. Find BC. If your answer is not an integer, leave it in simplest radical form.
mc019-3.jpg
A
16mc019-4.jpg ft
B
16 ft
C
8 ft
D
8mc019-5.jpg ft
 

 20 

A triangle has sides of lengths 4, 3, and 5. Is it a right triangle? Explain.
A
no; mc020-1.jpg
C
yes; mc020-3.jpg
B
yes; mc020-2.jpg
D
no; mc020-4.jpg
 



 
Check Your Work     Start Over