Font size
S
M
L
XL
WorksheetsTransformations Test Review
Total questions: 83
Worksheet time: 3hrs 46mins
Name
Class
Date
1.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
2.
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
3.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
4.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
5.
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)
6.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
7.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
8.
Identify the transformation from ABC to A'B'C'.
a)
(x+8, y+4)
b)
(x-8, y-4)
c)
(x+4, y+8)
d)
(x-4, y-8)
9.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
10.
What is this picture an example of?
a)
An angle
b)
A cat vertex
c)
Rotation
d)
Dilation
11.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
12.
Reflections over the x-axis change the ____-__________.
a)
y-coordinate
b)
x-coordinate
13.
Does the image show a Dilation?
a)
Yes
b)
No
14.
If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
15.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
16.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
90 degrees clockwise
17.
Find missing side
a)
5
b)
7
c)
9
d)
11
18.
Find y.
a)
144
b)
18
c)
72
d)
12
19.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
20.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
21.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
36 ft.
c)
16 ft.
22.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
23.
Angles in the same position are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
24.
A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?
a)
x = 19 cm
b)
x = 24 cm
c)
x = 3 cm
d)
x = 16.5 cm
25.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet
26.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.
a)
7 in
b)
9 in
c)
12 in
d)
14 in
27.
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner?
a)
72 in
b)
60 in
c)
62 in
d)
80 in
28.
Complete each proportion.
CB / DM = AC / ?
CB / DM = AC / ?
a)
BM
b)
MA
c)
BC
d)
AD
29.
Are these figures similar?
a)
yes
b)
no
30.
Are these figures similar?
a)
yes
b)
no
31.
If ΔGFE~ΔCBE, find the value of x.
a)
x=9
b)
x=18
c)
x=36
d)
x=1.2
32.
Triangle ABC is similar to triangle FGH.
What is the value of x in centimeters?
What is the value of x in centimeters?
a)
22.5 cm
b)
8 cm
c)
10.8 cm
d)
30 cm
33.
Find the length of x
a)
x = 1
b)
x = 2
c)
x = 7
d)
x = 1/7
34.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
35.
Triangle ABC and XYZ are similar. Use your knowledge of scale factor to find the length of X.
a)
20
b)
25
c)
100
d)
40
36.
Find the length of the missing side.
a)
7
b)
4
c)
6
d)
8
37.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
38.
What is the measurement of x?
a)
21
b)
1.25
c)
20
d)
4
39.
What are the missing sides of the triangle?
a)
11 and 12
b)
13 and 11
c)
11 and 14
d)
13 and 12
40.
Are the triangles similar?
a)
Yes
b)
No
41.
Are the triangles similar?
a)
Yes
b)
No
42.
a)
6
b)
4
c)
12
d)
16
43.
a)
12
b)
14
c)
16
d)
18
44.
Sides in similar figures must be proportional.
a)
True
b)
False
45.
Are the following similar? Why or why not?
a)
Yes
b)
No, the corresponding angles are not equal.
c)
No, the ratios of the corresponding sides are not equal.
46.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
47.
Solve the proportion.
____ = ____
____ = ____
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
48.
a)
10 ft
b)
5 ft
c)
8 ft
d)
15 ft
49.
Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?
a)
14 in
b)
7 in
c)
42 in
d)
56 in
50.
Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?
a)
87 km
b)
216 km
c)
33 km
d)
192 km
51.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
52.
Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?
a)
3 in
b)
2 in.
c)
4 in
d)
1 in
53.
Translate the points 3 units right and 6 units down.
S (4, -6)
T (-6, 10)
U (-4, -8)
S (4, -6)
T (-6, 10)
U (-4, -8)
a)
S' (-7, -12)
T' (-3, -4)
U' (5, 10)
T' (-3, -4)
U' (5, 10)
b)
S' (7, -12)
T' (3, 4)
U' (1, 14)
T' (3, 4)
U' (1, 14)
c)
S' (7, 12)
T' (3, 4)
U' (1, 14)
T' (3, 4)
U' (1, 14)
d)
S' (7, -12)
T' (-3, 4)
U' (-1, -14)
T' (-3, 4)
U' (-1, -14)
54.
Rotate the coordinates 90° CCW.
A (4, 1)
B (6, -2)
C (8, -4)
A (4, 1)
B (6, -2)
C (8, -4)
a)
A' (1, 4)
B'(-2, -6)
C' (-4, -8)
B'(-2, -6)
C' (-4, -8)
b)
A' (3, 4)
B' (1, 6)
C' (8, 2)
B' (1, 6)
C' (8, 2)
c)
A' (-1,4)
B' (2,6)
C'(4,8)
B' (2,6)
C'(4,8)
d)
A' (-1, -4)
B'(-2, -6)
C' (4, -8)
B'(-2, -6)
C' (4, -8)
55.
The figures are similar. Find x.
a)
18.5
b)
30.5
c)
20.5
d)
16.5
56.
Figure I and Figure II are similar figures. Which proportion must be true?
a)
b)
c)
d)
57.
Which algebraic expression represents a dilation?
a)
(x,y)->(-x,-y)
b)
(x,y)->(x+5,y-8)
c)
(x,y)->(5x,5y)
d)
(x,y)->(-y,x)
58.
What is the scale factor of the dilation?
a)
5/2
b)
3/2
c)
7/2
d)
2/3
59.
How can this transformation be represented algebraically?
a)
(x + 4, y)
b)
(-x, -y)
c)
(-x, y)
d)
(y, -x)
60.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
61.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
62.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
63.
What axis is the triangle being reflected over?
a)
X-axis
b)
Y-axis
64.
The point Z(4, -2) is rotated 180 degrees about the origin. What is the image of Z?
a)
Z'(2, 4)
b)
Z'(-4, 2)
c)
Z'(-2, -4)
d)
Z'(-4, -2)
65.
What type of angles are these?
a)
same side interior
b)
same side exterior
c)
straight
d)
none of these
66.
What type of angles are these?
a)
same side interior
b)
alternate interior
c)
alternate exterior
d)
none of these
67.
What type of angles are these?
a)
congruent corresponding
b)
alternate interior
c)
same side exterior
d)
none of these
68.
What type of angles are these?
a)
same side interior
b)
alternate interior
c)
straight
d)
none of these
69.
What type of angles are these?
a)
same side interior
b)
corresponding
c)
alternate exterior
d)
none of these
70.
What type of angles are these?
a)
same side interior
b)
alternate interior
c)
alternate exterior
d)
none of these
71.
What type of angles are these?
a)
same side interior
b)
corresponding
c)
same side exterior
d)
none of these
72.
What type of angles are these?
a)
same side interior
b)
alternate interior
c)
corresponding
d)
none of these
73.
Angles with a sum of 90°
a)
supplementary
b)
complementary
74.
Angles with a sum of 180°
a)
complementary
b)
supplementary
75.
What do all of the following angle types have in common?
corresponding
vertical
alternate exterior
corresponding
vertical
alternate exterior
a)
They are all congruent.
b)
They are all complementary.
c)
They are all supplementary.
d)
They have nothing in common.
76.
What do the following angle types have in common?
adjacent
same side interior
same side exterior
adjacent
same side interior
same side exterior
a)
They are all congruent.
b)
They are all complementary.
c)
They are all supplementary.
d)
They have nothing in common.
77.
What the m∠f?
a)
82°
b)
98°
c)
There is not enough information.
78.
What the m∠e?
a)
82°
b)
98°
c)
There is not enough information.
79.
What the m∠d?
a)
82°
b)
98°
c)
There is not enough information.
80.
What is the m∠b?
a)
123°
b)
97°
c)
Not enough information.
81.
What is the m∠a?
a)
123°
b)
97°
c)
Not enough information.
82.
What is the m∠c?
a)
123°
b)
57°
c)
Not enough information.
83.
What is line m?
a)
parallel line
b)
perpendicular line
c)
fishing line
d)
transversal
Reset
