Name: 
 

Geometry - DQA # 2; 2008 - 2009



Calculators Recommended!
The following state indicators are being assessed:  G.3.1, G.3.3, G.4.2, G.4.4, G.4.6, G.5.3, and G.6.7

Multiple Choice

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

 1 

Given mc001-1.jpg mc001-2.jpg and mc001-3.jpg, find the length of QS and TV.
A
14
B
13
C
2
D
23
 

 2 

Logan wants to enlarge an mc002-1.jpg photograph (as shown below) by doubling the lengths of each side. What effect will that have on the area of the photograph?
mc002-2.jpg
A
The area of the new photograph will be 2 times the area of the original photograph.
B
The area of the new photograph will be 4 times the area of the original photograph.
C
The area of the new photograph will be mc002-4.jpg the area of the original photograph.
D
The area of the new photograph will be the same as the area of the original photograph.
 

 3 

Find the length of mc003-1.jpg, given that mc003-2.jpg is a median of the triangle and AC = 36.
mc003-3.jpg
A
18
C
72
B
36
D
not enough information
 

 4 

Students in a carpentry class have created two similar triangular supports for a dog house, shown in the picture below. What is the measure of mc004-1.jpg?
mc004-2.jpg
A
27.5º
C
90º
B
125º
D
35º
 

 5 

Two similar right triangles are shown below. What is the value of x?
mc005-1.jpgmc005-2.jpg
A
28.5 units
C
42.8 units
B
32.8 units
D
12.7 units
 

 6 

In triangle ABC, mc006-1.jpg is a right angle and mc006-2.jpg 45°. Find BC. If you answer is not an integer, leave it in simplest radical form.
mc006-3.jpg
A
14 ft
B
14mc006-4.jpg ft
C
28 ft
D
28mc006-5.jpg ft
 

 7 

What is the most precise name for quadrilateral ABCD with vertices A(–5, –1), B(–5, 2), C(–2, 2), and D(–2, –1)?
A
quadrilateral
B
parallelogram
C
rhombus
D
rectangle
 

 8 

Mrs. Lopez bought a Persian Rug that was 8 yards long. It had an area of 384 square feet.  What was the width of the rug?                             mc008-1.jpg
A
16 feet
C
8 feet
B
48 feet
D
18 feet
 

 9 

Enrico is gluing ribbon around the outside of the frame shown. About how many inches of ribbon does he need? Use 3.14 for p.
mc009-1.jpg
A
21.98 in.
B
28 in.
C
43.96 in.
D
483.12 in.
 

 10 

LMNO is a parallelogram. If NM = x + 17 and OL = 3x + 5 find the value of x and then find NM and OL.
mc010-1.jpg
A
x = 6, NM = 23, OL = 23
C
x = 8, NM = 23, OL = 25
B
x = 8, NM = 25, OL = 25
D
x = 6, NM = 25, OL = 23
 

 11 

In the following figure, mc011-1.jpg. If mc011-2.jpg, mc011-3.jpg, and mc011-4.jpg, what is the measure of mc011-5.jpg?
mc011-6.jpg
A
39.9°
C
66.3°
B
60.9°
D
79.2°
 

 12 

mc012-1.jpg bisects mc012-2.jpg mc012-3.jpg and mc012-4.jpg Solve for x and find mc012-5.jpg The diagram is not to scale.
mc012-6.jpg
A
x = 11, mc012-7.jpg
C
x = 10, mc012-9.jpg
B
x = 11, mc012-8.jpg
D
x = 10, mc012-10.jpg
 

 13 

A triangle has sides with lengths of 12 units, 10 units, and 14 units. If the dimensions of the triangle are scaled by mc013-1.jpg, what will the new perimeter be?
A
72 units
C
36 units
B
18 units
D
23 units
 
 
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
 

 14 

mc014-1.jpg
A
mc014-2.jpg
B
mc014-3.jpg
C
mc014-4.jpg
D
mc014-5.jpg
 
 
Find the area. The figure is not drawn to scale.
 

 15 

mc015-1.jpg
A
756 in.2
B
936 in.2
C
57 in.2
D
114 in.2
 

 16 

Estimate the area of the circle. Each square represents 18 square inches.
mc016-1.jpg
A
about 504 in.2
B
about 324 in.2
C
about 28 in.2
D
about 56 in.2
 
 
Find the area of the circle to the nearest tenth.
 

 17 

mc017-1.jpg
A
131.9 cm2
B
1,385.4 cm2
C
5,541.8 cm2
D
66 cm2
 

 18 

What is the measure of mc018-1.jpg in Trapezoid LMNO?
mc018-2.jpg
A
117°
C
192°
B
112°
D
68°
 
 
Explain why the triangles are similar. Then find the value of x.
 

 19 

mc019-1.jpg
A
AA Postulate; mc019-2.jpg
C
SAS Postulate; mc019-4.jpg
B
AA Postulate; mc019-3.jpg
D
SSS Postulate; mc019-5.jpg
 

 20 

mc020-1.jpg
A
SSS Postulate; mc020-2.jpg
C
SAS Postulate; mc020-4.jpg
B
AA Postulate; mc020-3.jpg
D
AA Postulate; mc020-5.jpg
 

 21 

The length of the hypotenuse of a 30°-60°-90° triangle is 9. Find the perimeter.
A
mc021-1.jpg + mc021-2.jpgmc021-3.jpg
C
9 + 27mc021-5.jpg
B
27 + 9mc021-4.jpg
D
mc021-6.jpg + mc021-7.jpgmc021-8.jpg
 

 22 

What is the name of the segment inside the large triangle?
mc022-1.jpg
A
perpendicular bisector
C
median
B
angle bisector
D
midsegment
 

 23 

ABCD is a parallelogram. If mc023-1.jpg then mc023-2.jpg The diagram is not to scale.
mc023-3.jpg
A
102
B
92
C
88
D
176
 

 24 

The area of a square garden is 128 m2. How long is the diagonal?
A
256 m
B
mc024-1.jpg m
C
64 m
D
16 m
 

 25 

mc025-1.jpg
mc025-2.jpg
A
mc025-3.jpg
B
mc025-4.jpg
C
mc025-5.jpg
D
mc025-6.jpg
 

 26 

In the figure below, Triangle ABC is similar to Triangle JKL. What is the length of mc026-1.jpg?
mc026-2.jpgmc026-3.jpg
A
12.5
C
10.4
B
17.2
D
6.2
 

 27 

Eric uses a ruler to measure the distance between the point on the compass and the pencil point to be 8 inches. Estimate the circumference of the circle he drew.
mc027-1.jpg
A
192 inches squared
C
48 inches squared
B
24 inches
D
48 inches
 

 28 

Name a median for mc028-1.jpg
mc028-2.jpg
A
mc028-3.jpg
B
mc028-4.jpg
C
mc028-5.jpg
D
mc028-6.jpg
 



 
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