Q4W3 Geometry Comprehensive Review - Student Version 04-12-2023
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School
Texas A&M International University *
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Course
101
Subject
Mathematics
Date
May 13, 2024
Type
Pages
14
Uploaded by CountChimpanzeePerson1152
1.
A composite figure is shown on the coordinate grid.
What is the total area of this composite figure?
A.
36 square units
B.
84 square units
C.
120 square units
D.
204 square units
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
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2.
A pizza was cut into 8 equal slices as shown. Leslie ate 5 slices.
If the diameter of the pizza was 16 inches, what was the approximate area of the pizza that Leslie ate?
A.
25.1 square inches
B.
78.5 square inches
C.
125.7 square inches
D.
201.1 square inches
3.
In circle and .
Based on this information, what is the measure of ?
A.
40°
B.
72.5°
C.
75°
D.
92.5°
V
, m
∠
QRS
= 35
∘
m
PT
= 110
∘
QS
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
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Page 2 of 14
4.
Triangle ABC
is shown on the coordinate grid.
If ∆
ABC
is translated using the rule and then dilated by a scale factor of with the origin as the center of dilation, which graph represents ∆
A"B"C"
?
A.
C.
B.
D.
(
x
, y
) → (
x
− 2, y
+ 1)
1
2
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
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5.
The sides of a regular hexagon are 12 centimeters and the apothem is 10.4 centimeters.
What is the approximate area of the hexagon?
A.
62.4 cm
B.
124.8 cm
C.
374.4 cm
D.
748.8 cm
6.
In circle and .
Based on this information, what is the measure of ?
A.
86°
B.
113°
C.
122°
D.
226°
2
2
2
2
W
, m
∠
JNK
= 67
∘
m
KL
= 104
∘
JM
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
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Page 4 of 14
7.
Quadrilateral ABCD
is shown on the coordinate grid.
If quadrilateral ABCD
is rotated 90° clockwise about the origin and then dilated by a scale factor of 2 with
the origin as the center of dilation, which graph represents quadrilateral A”B”C”D”
?
A.
C.
B.
D.
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
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Page 5 of 14
8.
Triangle ABC
was translated using the rule and then reflected across the line to produce △
A
"
B
"
C
".
Which graph represents △
ABC
?
A.
C.
B.
D.
(
x
, y
) → (
x
− 3, y
+ 2)
y
= x
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
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9.
A circle with a diameter of 27.7 centimeters is inscribed in a regular hexagon as shown.
Based on the information in the diagram, what is the approximate area of the shaded region?
A.
62.2 cm
B.
182.9 cm
C.
602.6 cm
D.
664.8 cm
10.
In circle X
, WX
= 15 feet and m
WXY
= 120°.
Based on this information, what is the area of the shaded sector?
A.
225
π
ft
B.
75
π
ft
C.
30
π
ft
D.
10
π
ft
2
2
2
2
∠
2
2
2
2
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
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Page 7 of 14
11.
A composite figure is shown.
Based on the information in the diagram, what is the approximate area of the composite figure?
A.
296.5 in
B.
320.5 in
C.
353.1 in
D.
377.1 in
12.
In circle C
, CD
= 7 cm and m
DCJ
= 108°.
Based on this information, what is the approximate length of ?
A.
6.6 cm
B.
13.2 cm
C.
26.4 cm
D.
46.2 cm
2
2
2
2
∠
DJ
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
Powered by Illuminate Education.
Page 8 of 14
13.
The figure shown is a regular polygon.
Based on this information, what is the value of x
?
14.
A diagram of the Nuñez High School track is shown. Note: the diagram is not drawn to scale.
Based on the information in the diagram, what is the approximate area of the track (the shaded part of
the diagram)?
A.
3,256.6 yards
B.
4,607.5 yards
C.
11,485.4 yards
D.
16,092.9 yards
2
2
2
2
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
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15.
The sides of a regular pentagon are 14 inches, and the apothem is 9.7 inches.
What is the approximate area of the pentagon?
A.
424.4 in
B.
339.5 in
C.
245.0 in
D.
168.5 in
16.
In circle C
, CB
= 5 feet and m
ACB
= 143°.
Based on this information, what is the approximate length of ?
A.
12.5 ft
B.
18.9 ft
C.
31.2 ft
D.
47.3 ft
2
2
2
2
∠
ADB
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
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Page 10 of 14
17.
In circle and units.
Based on this information, what is the length of , in terms of ?
A.
units
B.
units
C.
units
D.
units
C
, m
∠
ACB
= 22
∘
CB
= 13
AB
π
26
π
π
1859
180
π
13
22
π
143
90
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
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Page 11 of 14
18.
Triangle ABC
is shown on the coordinate grid.
If ∆
ABC
is reflected across the x
-axis and then dilated by a scale factor of 2 with the origin as the center
of dilation, which graph represents ∆
A"B"C"
?
A.
C.
B.
D.
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
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19.
Tamika is making a flag design in the shape of a parallelogram.
Which x
- and y
-values must she use in order to guarantee that the flag is in the shape of a parallelogram?
A.
x = 3
y = 2
B.
x = 3
y = 3
C.
x = 3
y = D.
x = y = 3
20.
In rhombus , and .
What is , in degrees?
1
2
1
2
WXY Z
m
∠
Y
= (10
x
+ 14)
∘
m
∠
W
= (12
x
− 10)
∘
m
∠
Y
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
Powered by Illuminate Education.
Page 13 of 14
21.
Quadrilateral QRST
is a parallelogram.
Which condition could not
be used to prove parallelogram QRST
is a rhombus?
A.
and B.
and C.
D.
22.
In trapezoid MATH
, , and .
Based on this information, what is ?
A.
17°
B.
37°
C.
65°
D.
115°
∠8 ≅∠1
∠4 ≅∠5
∠3 ≅∠12
∠2 ≅∠11
¯¯¯¯¯
QS
⊥ ¯¯¯¯¯
RT
¯¯¯¯¯
QT
≅
¯¯¯¯¯
QR
m
∠
M
= (3
x
+ 4)
∘
m
∠
H
= (2
x
− 9)
∘
¯¯¯¯¯¯¯¯
HM
≅
¯¯¯¯¯¯
TA
m
∠
T
Assessment ID: 2223026900
Geometry Q4W3 Comprehensive Review
Powered by Illuminate Education.
Page 14 of 14