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.
 
 
Find the area of the trapezoid.
 

 1 
mc001-1.jpg
A
91 in.2
B
182 in.2
C
273 in.2
D
546 in.2
 

 2 
The length of the hypotenuse of a 30°-60°-90° triangle is 12. Find the perimeter.
A
36 + 12mc002-1.jpg
C
12 + 36mc002-5.jpg
B
mc002-2.jpg + mc002-3.jpgmc002-4.jpg
D
mc002-6.jpg + mc002-7.jpgmc002-8.jpg
 

 3 
Find the coordinates of the midpoint of the segment whose endpoints are H(7, 7) and K(3, 9).
A
(5, 8)
B
(2, 1)
C
(4, 2)
D
(10, 16)
 

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

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

 6 
Is the line through points P(–8, –7) and Q(3, 9) parallel to the line through points R(2, –1) and S(–4, –2)? Explain.
A
No, the lines have unequal slopes.
B
No, one line has slope, the other has no slope.
C
Yes; the lines are both vertical.
D
Yes; the lines have equal slopes.
 

 7 
Find mc007-1.jpg The diagram is not to scale.
mc007-2.jpg
A
76
B
66
C
114
D
116
 

 8 
In triangle ABC, mc008-1.jpg is a right angle and mc008-2.jpg 45°. Find BC. If your answer is not an integer, leave it in simplest radical form.
mc008-3.jpg
A
24 ft
B
12mc008-4.jpg ft
C
24mc008-5.jpg ft
D
12 ft
 

 9 
DE @ FG and EF @ GH. Select the correct congruence statement for the two triangles. What rule proves the congruence?
mc009-1.jpg
A
DDEF @ DHGF; SAS
C
DDEF @ DFGH; SAS
B
DDEF @ DFGH; ASA
D
DDEF @ DHGF; SSS
 

 10 
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?
mc010-1.jpg
A
245 inches
B
408 inches
C
327 inches
D
82 inches
 

 11 
Find the distance between points P(3, 3) and Q(9, 9) to the
nearest tenth.
A
8.5
B
72
C
17
D
12
 

 12 
Find the values of the variables in the parallelogram. The diagram is not to scale.
mc012-1.jpg
A
mc012-2.jpg mc012-3.jpg mc012-4.jpg
C
mc012-8.jpg mc012-9.jpg mc012-10.jpg
B
mc012-5.jpg mc012-6.jpg mc012-7.jpg
D
mc012-11.jpg mc012-12.jpg mc012-13.jpg
 

 13 
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
15.6 cm
B
7.8 cm
C
19.1 cm
D
22 cm
 

 14 
A triangle has sides of lengths 6, 8, and 10. Is it a right triangle? Explain.
A
yes; mc014-1.jpg
C
yes; mc014-3.jpg
B
no; mc014-2.jpg
D
no; mc014-4.jpg
 

 15 
If mc015-1.jpg, which of the following can you NOT conclude as being true?
A
mc015-2.jpg
B
mc015-3.jpg
C
mc015-4.jpg
D
mc015-5.jpg
 

 16 
Find the missing angle measures. The diagram is not to scale.
mc016-1.jpg
A
x = 58, y = 131
C
x = 58, y = 121
B
x = 131, y = 111
D
x = 121, y = 58
 

 17 
Is line l parallel to line m? Explain.
mc017-1.jpg
Not drawn to scale
A
Yes; alternate interior angles are congruent.
B
No; alternate interior angles are not congruent.
C
No; corresponding angles are not congruent.
D
Yes; corresponding angles are congruent.
 
 
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
10%
Fruit Punch
30%
Apple Juice
40%
 

 18 
Use the table above. Find the measure of the central angle you would draw to represent grape juice in a circle graph.
A
36°
B
60°
C
72°
D
20°
 

 19 
Find the sum of the measures of the interior angles of a decagon.
A
1,800mc019-1.jpg
B
1,440mc019-2.jpg
C
1,260mc019-3.jpg
D
1,620mc019-4.jpg
 
 
Find the area of the quadrilateral shown.
 

 20 
Find the area of the rhombus.
mc020-1.jpg
A
128 m2
B
4096 m2
C
32 m2
D
12 m2
 



 
Check Your Work     Start Over