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WorksheetsGeometry 3rd Quarter Review EC
Total questions: 80
Worksheet time: 5hrs 10mins
Name
Class
Date
1.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
2.
What is the acronym to help you remember the ratios to use in trigonometry?
a)
RIGHTANG
b)
SOHCAHTOA
c)
SHOCHATOA
3.
a)
x=14
y=14√5
y=14√5
b)
x=1
y=√5
y=√5
c)
x=14
y=14
y=14
d)
x=15
y=4√5
y=4√5
4.
a)
√11
b)
√21
c)
√12
d)
√2
5.
What if the value of x?
a)
16
b)
12
c)
4
d)
64
6.
a)
x=4
y=2√29
y=2√29
b)
x=2√3
y=2√5
y=2√5
c)
x=√10
y=√20
y=√20
d)
x=2
y=29
y=29
7.
A square has diagonal length 13 m. What is the side length of the square, to the nearest centimeter?
a)
9.19
b)
18.38
c)
5.10
d)
13
8.
An equilateral triangle has height 26 cm. What is the length of each side of the triangle, to the nearest centimeter?
a)
26, 13, 23
b)
26, 26, 38
c)
26, 15, 30
d)
26, 42, 38
9.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
10.
What is the value of x?
a)
2
b)
18
c)
2√9
d)
9√2
11.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
12.
Find x.
a)
12
b)
√2
c)
√3
d)
6
13.
The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
11, 12, 15
11, 12, 15
a)
right
b)
obtuse
c)
acute
14.
The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
4, 5, 6
4, 5, 6
a)
right
b)
obtuse
c)
acute
15.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
16.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
17.
Acute, right, or obtuse?
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know how to do this
18.
What is the longest side of a right triangle called?
a)
Leg A
b)
Leg B
c)
Hypotenuse
d)
Pythagoras' Big Buddy
19.
a = 2.1, b = 7.2,
c = 7.5
Is this a right triangle?
c = 7.5
Is this a right triangle?
a)
yes
b)
no
20.
Do these 3 side lengths form a right triangle?
13, 80, and 81?
13, 80, and 81?
a)
yes
b)
no
21.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
22.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
23.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
24.
Use the Law of Sines to Find AB.
a)
11.3
b)
12.3
c)
13.3
d)
14.3
25.
Use the Law of Cosines to find x.
a)
8.4
b)
71
c)
9.4
d)
10.4
26.
Use the Law of Sines to Find x.
a)
97.16
b)
166.0
c)
224.8
d)
233.4
27.
Use the Law of Cosines to find x.
a)
16.6
b)
22.4
c)
2.1
d)
1.9
28.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
29.
The angle of 12o is a(n)
a)
angle of elevation
b)
angle of depression
c)
neither
d)
both
30.
Is this an angle of elevation or an angle of depression?
a)
Angle of Elevation
b)
Angle of Depression
c)
Neither
d)
Both
31.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
32.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
33.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
34.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
35.
Choose the correct ratio.
a)
A
b)
B
c)
C
d)
D
36.
If there are 5 boys and 7 girls, write the ratio of girls to boys.
a)
5 to 7
b)
7 to 5
c)
5 to 12
d)
7 to 12
37.
Why are the triangles similar?
a)
AA~
b)
SAS~
c)
SSS~
d)
AAS~
38.
Find x
a)
10.5
b)
5
c)
8.5
d)
6
39.
If the triangles are similar, find y.
a)
3
b)
3.5
c)
4
d)
4.5
40.
If the triangles are similar, find x
a)
90
b)
60
c)
30
d)
15
41.
Find the value of x
a)
6
b)
12
c)
23
d)
8
42.
A scale drawing of a billboard uses the scale 4 cm:9 ft. The length of the billboard in the drawing is 11 cm. How long is the actual billboard?
a)
13 ft
b)
20.75 ft
c)
24.75 ft
d)
22 ft
43.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
44.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
45.
Find length of segment AB.
a)
x = 810
b)
x = 21.6
c)
x = 33.75
d)
x = 67.5
46.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
47.
Solve the proportion.
a)
x = 4/3
b)
x = 15
c)
x = - 15
d)
x = 2
48.
Each pair of polygons is similar, find the value of x.
a)
x = 9
b)
x = 5
c)
x = 10
d)
x = 2.25
49.
The polygons shown are similar. What is the scale factor of WXYZ to PQRS?
a)
2/3
b)
3/2
c)
9/12
d)
3/4
50.
If the rangers won 100 games out of 160 games, what is the simplified ratio of wins to losses?
a)
10 to 6
b)
5 to 3
c)
6 to 10
d)
3 to 5
51.
a)
A
b)
B
c)
C
d)
D
52.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
53.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
54.
Is DE parallel to BC?
a)
Yes
b)
No
55.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
56.
Find the value of a.
a)
a = 45
b)
a = 15
c)
a = 5
d)
a = 8
57.
Dilate Point B by a scale factor of 1/2
a)
(1.5,-4)
b)
(-1.5,1)
c)
(-1,-1.5)
d)
(-2,-2)
58.
If the scale factor is greater than one, the new figure will be
a)
a reduction
b)
an enlargement
c)
a scale
d)
not proportional
59.
If a dilation produces a congruent figure, then the scale factor was equal to _____.
a)
1/2
b)
2
c)
10
d)
1
60.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
61.
Name the parallel segment if triangle MNP is composed of midsegments.
a)
MN
b)
NP
c)
MP
d)
HI
62.
The angles of a triangle have a ratio of 2:3:5. What is the measure of the smallest angle?
a)
18
b)
36
c)
54
d)
90
63.
Find the midsegment.
a)
11
b)
22
c)
None of these
d)
10.5
64.
What is the sum of the exterior for a nonagon?
a)
180
b)
1260
c)
360
d)
9
65.
a)
35
b)
40
c)
45
d)
50
66.
a)
410
b)
335
c)
155
d)
130
67.
Name that shape.
a)
quadrilateral, rectangle
b)
quadrilateral, rectangle, square
c)
quadrilateral, parallelogram, rectangle
d)
quadrilateral, parallelogram, rectangle, square
68.
Name that shape.
a)
square
b)
square
rhombus
rhombus
c)
quadrilateral
parallelogram
rhombus
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
parallelogram
square
69.
If ABCD is a parallelogram, what is the length of BD?
a)
10
b)
11
c)
7
d)
5
70.
Figure A is a...
a)
Rectangle
b)
Square
c)
Rhombus
71.
Which is not a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
72.
What is the only property of a trapezoid?
a)
The diagonals bisect each other
b)
One pair of opposite sides is parallel
c)
Both pairs of opposite angles are congruent
d)
Both pairs of opposite sides are parallel
73.
Find the value of x that makes that shape a kite.
a)
x = 4.5
b)
x= 4
c)
x = 2
d)
x = 5
74.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
75.
In a parallelogram, diagonals are __________.
a)
perpendicular
b)
bisected
c)
congruent
d)
parallel
76.
Which shape is NOT a type of parallelogram?
a)
trapezoid
b)
rectangle
c)
rhombus
d)
square
77.
How many sides does a equiangular polygon have with an exterior angle of 24o?
a)
24
b)
26
c)
124
d)
15
78.
What is an exterior angle of a regular 67-gon?
a)
5.4
b)
11700
c)
3.2
d)
113
79.
Which slopes must be the same for this to be a parallelogram?
a)
Both AD and CB, and AB and CD
b)
AD and CB
c)
AB and CD
d)
AC and BD
80.
What does a kite have in common with a rhombus?
a)
Diagonals are perpendicular
b)
all sides are congruent
c)
consecutive angles add to 180 degrees
d)
angles are congruent
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