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 

Mark wants to enlarge a mc001-1.jpg photograph (as shown below) by quadrupling the lengths of each side. What effect will that have on the area of the photograph?
mc001-2.jpg
A
The area of the new photograph will be mc001-4.jpg the area of the original photograph.
B
The area of the new photograph will be the same as the area of the original photograph.
C
The area of the new photograph will be 4 times the area of the original photograph.
D
The area of the new photograph will be 16 times the area of the original photograph.
 

 2 

Estimate the area of the circle. Each square represents 19 square kilometers.
mc002-1.jpg
A
about 532 km2
B
about 56 km2
C
about 28 km2
D
about 361 km2
 

 3 

Two similar right triangles are shown below. What is the value of x?
mc003-1.jpgmc003-2.jpg
A
11.3 units
C
3.3 units
B
7.5 units
D
8.6 units
 
 
Find the area. The figure is not drawn to scale.
 

 4 

mc004-1.jpg
A
122 in.2
B
61 in.2
C
1120 in.2
D
924 in.2
 

 5 

LMNO is a parallelogram. If NM = x + 11 and OL = 3x + 7 find the value of x and then find NM and OL.
mc005-1.jpg
A
x = 4, NM = 15, OL = 15
C
x = 2, NM = 13, OL = 13
B
x = 4, NM = 13, OL = 15
D
x = 2, NM = 15, OL = 13
 

 6 

Find the length of mc006-1.jpg, given that mc006-2.jpg is a median of the triangle and AC = 52.
mc006-3.jpg
A
26
C
104
B
52
D
not enough information
 

 7 

A triangle has sides with lengths of 15 units, 18 units, and 15 units. If the dimensions of the triangle are scaled by mc007-1.jpg, what will the new perimeter be?
A
144 units
C
16 units
B
48 units
D
22 units
 
 
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
 

 8 

mc008-1.jpg
A
mc008-2.jpg
B
mc008-3.jpg
C
mc008-4.jpg
D
mc008-5.jpg
 
 
Explain why the triangles are similar. Then find the value of x.
 

 9 

mc009-1.jpg
A
SAS Postulate; mc009-2.jpg
C
AA Postulate; mc009-4.jpg
B
AA Postulate; mc009-3.jpg
D
SSS Postulate; mc009-5.jpg
 

 10 

mc010-1.jpg
A
AA Postulate; mc010-2.jpg
C
SSS Postulate; mc010-4.jpg
B
AA Postulate; mc010-3.jpg
D
SAS Postulate; mc010-5.jpg
 

 11 

The area of a square garden is 242 m2. How long is the diagonal?
A
22 m
B
484 m
C
mc011-1.jpg m
D
121 m
 

 12 

What is the measure of mc012-1.jpg in Trapezoid LMNO?
mc012-2.jpg
A
193°
C
123°
B
67°
D
113°
 

 13 

In triangle ABC, mc013-1.jpg is a right angle and mc013-2.jpg 45°. Find BC. If you answer is not an integer, leave it in simplest radical form.
mc013-3.jpg
A
30 ft
B
30mc013-4.jpg ft
C
15mc013-5.jpg ft
D
15 ft
 

 14 

In the following figure, mc014-1.jpg. If mc014-2.jpg, mc014-3.jpg, and mc014-4.jpg, what is the measure of mc014-5.jpg?
mc014-6.jpg
A
82°
C
38.7°
B
65.5°
D
59.3°
 

 15 

mc015-1.jpg
mc015-2.jpg
A
mc015-3.jpg
B
mc015-4.jpg
C
mc015-5.jpg
D
mc015-6.jpg
 

 16 

In the figure below, Triangle ABC is similar to Triangle JKL. What is the length of mc016-1.jpg?
mc016-2.jpgmc016-3.jpg
A
31.2
C
16
B
18.4
D
6.3
 

 17 

Eric uses a ruler to measure the distance between the point on the compass and the pencil point to be 7 inches. Estimate the circumference of the circle he drew.
mc017-1.jpg
A
21 inches
C
42 inches squared
B
147 inches squared
D
42 inches
 

 18 

What is the name of the segment inside the large triangle?
mc018-1.jpg
A
angle bisector
C
midsegment
B
perpendicular bisector
D
median
 

 19 

Mrs. Nethers bought a Persian Rug that was 8 yards long. It had an area of 384 square feet.  What was the width of the rug?                             mc019-1.jpg
A
16 feet
C
48 feet
B
18 feet
D
8 feet
 
 
Find the area of the circle to the nearest tenth.
 

 20 

mc020-1.jpg
A
78.5 cm2
B
1,963.5 cm2
C
39.3 cm2
D
490.9 cm2
 

 21 

ABCD is a parallelogram. If mc021-1.jpg then mc021-2.jpg The diagram is not to scale.
mc021-3.jpg
A
131
B
59
C
121
D
118
 

 22 

The length of the hypotenuse of a 30°-60°-90° triangle is 9. Find the perimeter.
A
27 + 9mc022-1.jpg
C
mc022-5.jpg + mc022-6.jpgmc022-7.jpg
B
mc022-2.jpg + mc022-3.jpgmc022-4.jpg
D
9 + 27mc022-8.jpg
 

 23 

mc023-1.jpg bisects mc023-2.jpg mc023-3.jpg and mc023-4.jpg Solve for x and find mc023-5.jpg The diagram is not to scale.
mc023-6.jpg
A
x = 11, mc023-7.jpg
C
x = 10, mc023-9.jpg
B
x = 10, mc023-8.jpg
D
x = 11, mc023-10.jpg
 

 24 

Name a median for mc024-1.jpg
mc024-2.jpg
A
mc024-3.jpg
B
mc024-4.jpg
C
mc024-5.jpg
D
mc024-6.jpg
 

 25 

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 mc025-1.jpg?
mc025-2.jpg
A
125º
C
35º
B
90º
D
27.5º
 

 26 

Krissy is gluing ribbon around the outside of the frame shown. About how many inches of ribbon does she need? Use 3.14 for p.
mc026-1.jpg
A
31.4 in.
B
40 in.
C
62.8 in.
D
985.96 in.
 

 27 

Given mc027-1.jpg mc027-2.jpg and mc027-3.jpg, find the length of QS and TV.
A
44
B
27
C
7
D
26
 

 28 

What is the most precise name for quadrilateral ABCD with vertices A(–3, 1), B(–1, 3), C(6, 3), and D(4, 1)?
A
rhombus
B
rectangle
C
quadrilateral
D
parallelogram
 



 
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