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 
In triangle ABC, mc001-1.jpg is a right angle and mc001-2.jpg 45°. Find BC. If your answer is not an integer, leave it in simplest radical form.
mc001-3.jpg
A
30mc001-4.jpg ft
B
15mc001-5.jpg ft
C
15 ft
D
30 ft
 
 
Find the area of the quadrilateral shown.
 

 2 
Find the area of the rhombus.
mc002-1.jpg
A
18 m2
B
9 m2
C
1296 m2
D
72 m2
 

 3 
Find the distance between points P(6, 5) and Q(4, 1) to the
nearest tenth.
A
20
B
6
C
4.5
D
11.7
 

 4 
Is line l parallel to line m? Explain.
mc004-1.jpg
Not drawn to scale
A
Yes; corresponding angles are congruent.
B
Yes; alternate interior angles are congruent.
C
No; alternate interior angles are not congruent.
D
No; corresponding angles are not congruent.
 
 
Find the slope of the line through the pair of points.
 

 5 
F(–2, 9), M(3, –7)
A
mc005-1.jpg
B
mc005-2.jpg
C
mc005-3.jpg
D
mc005-4.jpg
 

 6 
The legs of an isosceles right triangle are 10 cm long. Find the length of the hypotenuse. Round to the nearest tenth if necessary.
A
20 cm
B
7.1 cm
C
14.1 cm
D
17.3 cm
 

 7 
A triangle has sides of lengths 8, 15, and 17. Is it a right triangle? Explain.
A
no; mc007-1.jpg
C
no; mc007-3.jpg
B
yes; mc007-2.jpg
D
yes; mc007-4.jpg
 

 8 
Find the values of the variables in the parallelogram. The diagram is not to scale.
mc008-1.jpg
A
mc008-2.jpg mc008-3.jpg mc008-4.jpg
C
mc008-8.jpg mc008-9.jpg mc008-10.jpg
B
mc008-5.jpg mc008-6.jpg mc008-7.jpg
D
mc008-11.jpg mc008-12.jpg mc008-13.jpg
 

 9 
The length of the hypotenuse of a 30°-60°-90° triangle is 14. Find the perimeter.
A
mc009-1.jpg + mc009-2.jpgmc009-3.jpg
C
mc009-5.jpg + mc009-6.jpgmc009-7.jpg
B
14 + 42mc009-4.jpg
D
42 + 14mc009-8.jpg
 

 10 
Find mc010-1.jpg The diagram is not to scale.
mc010-2.jpg
A
100
B
113
C
80
D
90
 
 
Find the area of the trapezoid.
 

 11 
mc011-1.jpg
A
660 ft2
B
330 ft2
C
120 ft2
D
210 ft2
 

 12 
Is the line through points P(–4, 3) and Q(3, –6) parallel to the line through points R(1, 5) and S(2, 4)? Explain.
A
No, the lines have unequal slopes.
B
No, one line has slope, the other has no slope.
C
Yes; the lines have equal slopes.
D
Yes; the lines are both vertical.
 
 
Listed in the table is the percent of tenth grade students who chose each kind of juice at lunch time.

Grape Juice
35%
Orange Juice
10%
Fruit Punch
25%
Apple Juice
30%
 

 13 
Use the table above. Find the measure of the central angle you would draw to represent grape juice in a circle graph.
A
63°
B
126°
C
35°
D
105°
 

 14 
Find the sum of the measures of the interior angles of a decagon.
A
1,260mc014-1.jpg
B
1,440mc014-2.jpg
C
1,620mc014-3.jpg
D
1,800mc014-4.jpg
 

 15 
What is the most precise name for quadrilateral ABCD with vertices A(–3, 1), B(–1, 3), C(5, 3), and D(3, 1)?
A
quadrilateral
B
parallelogram
C
rhombus
D
rectangle
 

 16 
Find the coordinates of the midpoint of the segment whose endpoints are H(2, 5) and K(6, 3).
A
(8, 8)
B
(2, 1)
C
(4, 2)
D
(4, 4)
 

 17 
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 six times?
mc017-1.jpg
A
82 inches
B
571 inches
C
408 inches
D
490 inches
 

 18 
Find the missing angle measures. The diagram is not to scale.
mc018-1.jpg
A
x = 70, y = 109
C
x = 109, y = 121
B
x = 99, y = 70
D
x = 70, y = 99
 

 19 
If mc019-1.jpg, which of the following can you NOT conclude as being true?
A
mc019-2.jpg
B
mc019-3.jpg
C
mc019-4.jpg
D
mc019-5.jpg
 

 20 
DE @ FG and EF @ GH. Select the correct congruence statement for the two triangles. What rule proves the congruence?
mc020-1.jpg
A
DDEF @ DHGF; SSS
C
DDEF @ DFGH; SAS
B
DDEF @ DFGH; ASA
D
DDEF @ DHGF; SAS
 



 
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