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WorksheetsGeometry Final, Fall 2018
Total questions: 85
Worksheet time: 6hrs 25mins
Name
Class
Date
1.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
2.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
3.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
4.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
5.
When using the Pythagorean Theorem, which sides are the legs?
a)
a and b
b)
b and c
c)
a and c
d)
a and d
6.
The hypotenuse is the _________ side of the triangle.
a)
longest
b)
shortest
7.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
8.
What does perimeter mean?
a)
the amount of space inside a shape
b)
the distance around the shape
c)
the amount of space inside a shape divided by two
d)
half the distance around a shape
9.
What is the area of a rectangle with side lengths 5 cm by 8 cm?
a)
40 cm2
b)
13 cm2
c)
26 cm2
d)
20 cm2
10.
Find the area:
a)
2 in2
b)
15 in2
c)
25 in2
d)
50 in2
11.
Find the area:
a)
24 in2
b)
12 in2
c)
6 in2
d)
3.5 in2
12.
Find the area of the following figure:
a)
70 m2
b)
154 m2
c)
112 m2
d)
224 m2
13.
What is the perimeter of the rectangle?
a)
84 cm
b)
38 cm
c)
72 cm
d)
19 cm
14.
What is the perimeter of the triangle?
a)
32 units
b)
20 units
c)
10 units
d)
17 units
15.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
16.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
17.
Describe the transformation shown in the graph.
a)
Reflect over x-axis
b)
Reflect over y-axis
c)
Rotate 270 degrees CCW
d)
Rotate 90 degress CCW
18.
What is the measure of x. State the relationship.
a)
20o, Vertical
b)
70o, Complementary
c)
160o, Supplementary
d)
20o, Corresponding
19.
What is the measure of x. State the relationship.
a)
40°, Vertical
b)
40°, Corresponding
c)
50°, Complementary
d)
140°, Supplementary
20.
What is the measure of x? State the relationship.
a)
60°, Complementary
b)
60°, Supplementary
c)
120°, Vertical
d)
120°, Corresponding
21.
What is the measure of x? State the relationship.
a)
45°, Corresponding
b)
45°, Complementary
c)
90°, Vertical
d)
135°, Supplementary
22.
The Triangle Sum Theorem states that the sum of all angles in a triangle equals ______.
a)
45°
b)
90°
c)
180°
d)
360°
23.
Find the measure of the missing angle.
a)
139°
b)
66°
c)
138°
d)
116°
24.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
25.
Given that the triangles are similar, solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
26.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Not Similar
27.
We can use SOH-CAH-TOA for finding missing sides or angles of...
a)
any triangle.
b)
non-right triangles only.
c)
right triangles only.
d)
circles.
28.
What is the length of x in this 30-60-90 triangle?
a)
22
b)
11√3
c)
11√2
d)
11
29.
The Pythagorean Theorem ONLY works on which type of triangle?
a)
Obtuse
b)
Scalene
c)
Isosceles
d)
Right
30.
When using the Pythagorean Theorem, which side is always the hypotenuse?
a)
a
b)
b
c)
c
d)
d
31.
How do these triangles appear to be similar?
a)
SSS~ Scale Factor is 1/2
b)
SAS~ Scale Factor is 1/3
c)
SSS~ Scale Factor is 1/6
d)
Not Similar
32.
Determine if the triangles are similar. Justify.
a)
SSS~ Scale Factor is 1/4
b)
SAS~ Scale Factor is 1/3
c)
SAS~ Scale Factor is 1/2
d)
Not similar.
33.
Which of the following would you use to find the measure of an angle?
a)
Pythagorean Theorem
b)
Sin, Cos, or Tan
c)
Sin-1, Cos-1, or Tan-1
34.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
35.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
36.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
37.
Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
38.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
39.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
40.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
41.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
42.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
43.
Complementary angles measures _____ degrees.
a)
45
b)
180
c)
90
d)
30
44.
Supplementary Angles measure _____ degrees.
a)
180
b)
55
c)
100
d)
90
45.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
46.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
47.
What kind of angles are shown?
a)
complementary
b)
supplementary
c)
adjacent
d)
corresponding
48.
Find the measure of the angle indicated.
a)
139°
b)
66°
c)
138°
d)
116°
49.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.
a)
45°
b)
90°
c)
180°
d)
360°
50.
Solve the proportion.
a)
1
b)
3
c)
6
d)
5
51.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
52.
Solve the proportion below:
a)
42
b)
6
c)
2
d)
28
53.
Find the area.
a)
27.3 mi2
b)
54 mi2
c)
27 mi2
d)
54.6 mi2
54.
Find the area.
a)
60 in
b)
60 in2
c)
50 in
d)
50 in2
55.
Find the area
a)
41
b)
45
c)
44
d)
43
56.
If the scale factor is less than one, the new figure will be
a)
an enlargement
b)
a reduction
c)
a scale factor
d)
bigger
57.
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
58.
What is the scale factor from ΔDEF to ΔABC?
a)
1/2
b)
7/3
c)
2
d)
10/3
59.
What is the scale factor from MNOP to ABCD?
a)
2/3
b)
1/2
c)
3/2
d)
2
60.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
61.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional
b)
proportional, congruent
c)
congruent, congruent
d)
proportional, proportional
62.
Find missing side
a)
5
b)
7
c)
9
d)
11
63.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
64.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
65.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
66.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
67.
Find cosA
a)
30/16
b)
30/34
c)
30/15
d)
16/34
68.
FInd tanX
a)
32/40
b)
40/24
c)
32/24
d)
24/32
69.
Find sinA
a)
32/40
b)
32/24
c)
24/40
d)
24/32
70.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
71.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95
72.
What is the ratio for tangent?
a)
O/A
b)
A/O
c)
A/H
d)
O/H
73.
What is the ratio for sine?
a)
O/H
b)
H/A
c)
H/O
d)
O/A
74.
What is the ratio for cosine?
a)
H/A
b)
O/A
c)
A/H
d)
A/O
75.
Simplify the following radical: √32
a)
3√2
b)
4√8
c)
16√2
d)
4√2
76.
√48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
77.
Simplify the following radical: √24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
78.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
79.
In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?
a)
It is the same length as the given leg.
b)
Multiply that leg's length by √2.
c)
Multiply that leg's length by 2.
d)
Divide that leg's length by √2.
80.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
81.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
82.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
83.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
84.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 3√3 y = 3√2
85.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
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