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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 

The length of the hypotenuse of a 30°-60°-90° triangle is 13. Find the perimeter.
A
39 + 13mc001-1.jpg
C
13 + 39mc001-5.jpg
B
mc001-2.jpg + mc001-3.jpgmc001-4.jpg
D
mc001-6.jpg + mc001-7.jpgmc001-8.jpg
 

 2 

Find the coordinates of the midpoint of the segment whose endpoints are H(2, 12) and K(10, 6).
A
(12, 18)
B
(4, 3)
C
(8, 6)
D
(6, 9)
 

 3 

Is the line through points P(–8, 0) and Q(1, –5) parallel to the line through points R(0, 0) and S(4, –2)? Explain.
A
No, one line has slope, the other has no slope.
B
No, the lines have unequal slopes.
C
Yes; the lines are both vertical.
D
Yes; the lines have equal slopes.
 

 4 

Find mc004-1.jpg The diagram is not to scale.
mc004-2.jpg
A
56
B
124
C
66
D
102
 

 5 

Find the values of the variables in the parallelogram. The diagram is not to scale.
mc005-1.jpg
A
mc005-2.jpg mc005-3.jpg mc005-4.jpg
C
mc005-8.jpg mc005-9.jpg mc005-10.jpg
B
mc005-5.jpg mc005-6.jpg mc005-7.jpg
D
mc005-11.jpg mc005-12.jpg mc005-13.jpg
 

 6 

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?
mc006-1.jpg
A
327 inches
B
408 inches
C
245 inches
D
82 inches
 
 
Find the slope of the line through the pair of points.
 

 7 

C(7, –4), D(2, 3)
A
mc007-1.jpg
B
mc007-2.jpg
C
mc007-3.jpg
D
mc007-4.jpg
 
 
Find the area of the trapezoid.
 

 8 

mc008-1.jpg
A
289 m2
B
578 m2
C
170 m2
D
119 m2
 

 9 

QR @ SR and PR @ TR. Select the correct congruence statement for the two triangles. What rule proves the congruence?
mc009-1.jpg
A
DQPR @ DRTS; SAS
C
DQPR @ DSTR; SAS
B
DQPR @ DRTS; SSS
D
DQPR @ DSTR; ASA
 
 
Listed in the table is the percent of tenth grade students who chose each kind of juice at lunch time.

Grape Juice
25%
Orange Juice
30%
Fruit Punch
30%
Apple Juice
15%
 

 10 

Use the table above. Find the measure of the central angle you would draw to represent orange juice in a circle graph.
A
54°
B
30°
C
108°
D
90°
 

 11 

A triangle has sides of lengths 8, 15, and 17. Is it a right triangle? Explain.
A
yes; mc011-1.jpg
C
no; mc011-3.jpg
B
yes; mc011-2.jpg
D
no; mc011-4.jpg
 

 12 

In triangle ABC, mc012-1.jpg is a right angle and mc012-2.jpg 45°. Find BC. If your answer is not an integer, leave it in simplest radical form.
mc012-3.jpg
A
11 ft
B
11mc012-4.jpg ft
C
22 ft
D
22mc012-5.jpg ft
 

 13 

Is line l parallel to line m? Explain.
mc013-1.jpg
Not drawn to scale
A
Yes; alternate interior angles are congruent.
B
No; corresponding angles are not congruent.
C
Yes; corresponding angles are congruent.
D
No; alternate interior angles are not congruent.
 

 14 

Find the sum of the measures of the interior angles of a pentagon.
A
900mc014-1.jpg
B
720mc014-2.jpg
C
540mc014-3.jpg
D
360mc014-4.jpg
 

 15 

The legs of an isosceles right triangle are 11 cm long. Find the length of the hypotenuse. Round to the nearest tenth if necessary.
A
19.1 cm
B
15.6 cm
C
7.8 cm
D
22 cm
 

 16 

Find the missing angle measures. The diagram is not to scale.
mc016-1.jpg
A
x = 125, y = 118
C
x = 51, y = 125
B
x = 115, y = 51
D
x = 51, y = 115
 

 17 

If mc017-1.jpg, which of the following can you NOT conclude as being true?
A
mc017-2.jpg
B
mc017-3.jpg
C
mc017-4.jpg
D
mc017-5.jpg
 

 18 

What is the most precise name for quadrilateral ABCD with vertices A(–5, 2), B(–3, 4), C(4, 4), and D(2, 2)?
A
rectangle
B
parallelogram
C
rhombus
D
quadrilateral
 

 19 

Find the distance between points P(5, 3) and Q(9, 6) to the
nearest tenth.
A
5
B
16.6
C
25
D
7
 
 
Find the area of the quadrilateral shown.
 

 20 

Find the area of the rhombus.
mc020-1.jpg
A
50 m2
B
7.5 m2
C
625 m2
D
12.5 m2
 



 
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