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WorksheetsTransformations and Symmetry
Total questions: 40
Worksheet time: 3hrs 8mins
Name
Class
Date
1.
Given C(2, 9), under which reflection is C'(-2, 9)?
a)
reflected in the x-axis
b)
reflected in the y-axis
c)
reflected in the line x = 2
d)
reflected in the line y = x
2.
Which of the shown figures shows a translation?
a)
F
b)
G
c)
H
d)
J
3.
Name the image of C(6, -4) under a rotation 90 degrees about the origin.
a)
C'(4, 6)
b)
C'(-4, -6)
c)
C'(6, 4)
d)
C'(-6, -4)
4.
Name the image of C(3, -2) under a rotation of -90 degrees about the origin.
a)
C'(2, 3)
b)
C'(-2, -3)
c)
C'(3, 2)
d)
C'(-3, -2)
5.
Name the image of Z(-11, -6) along the translation vector <1, 7>.
a)
Z'(-12, 1)
b)
Z'(-12, -13)
c)
Z'(-10, 1)
d)
Z'(-10, -13)
6.
The point Z(4, -2) is rotated 180⁰ 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)
7.
How many lines of symmetry are in this equilateral triangle?
a)
0
b)
1
c)
2
d)
3
8.
The line segment TU with endpoints T(2, 1) and U(-5, 6) is rotated 90 degrees clockwise about the origin. What is the coordinate of T'?
a)
T'(2, -1)
b)
T'(-2, -1)
c)
T'(1, -2)
d)
T'(-1, 2)
9.
A point R with coordinates (3, -1) is translated along the vector <-2, 3> and then reflected in the x-axis. What are the coordinates of R''?
a)
R''(1, 2)
b)
R''(3, 1)
c)
R''(1, -2)
d)
R''(3, -1)
10.
Describe the Symmetry.
a)
The figure has rotational symmetry only
b)
The figure has only line symmetry.
c)
The figure has both rotational and line symmetry.
d)
The figure has no symmetry.
11.
Which of the following regular polygons has a degree of rotation of 72⁰?
a)
decagon
b)
pentagon
c)
hexagon
d)
octagon
12.
Find the image of Y(-7, 4) after a dilation centered at the origin with a scale factor of -3.
a)
Y'(-21, 12)
b)
Y'(21, -12)
c)
Y'(12, -21)
d)
Y'(-12, 21)
13.
What type of transformation does the picture represent?
a)
Dilation
b)
Rotation
c)
Reflection
d)
Translation
14.
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)
15.
Across which line does the figure graphed have line symmetry?
a)
x=2
b)
y=2
c)
x=3
d)
y=4
16.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180⁰ Rotation
d)
Translation 2 units down
17.
Identify the transformation.
a)
Reflection across y-axis
b)
90⁰ Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
18.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
19.
Reflect the point (2, -4) over the line y=x.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
20.
Which of the below is not isometric?
a)
Rotations
b)
Translations
c)
Reflections
d)
Dilation
21.
Reflect (6, -3) over the line y=-x.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
22.
Rotate the point (7,8) around the origin 90⁰. State the image of the point.
a)
(-7,-8)
b)
(8,-7)
c)
(-8,7)
d)
(8,7)
23.
State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor k = 2.
a)
(2,4.5)
b)
(-8,-18)
c)
(8,18)
d)
(9,4)
24.
If you were to rotate ABCD 270° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, -3)
b)
(-3, -5)
c)
(-5, 3)
d)
(5, -3)
25.
Which of the following are dilations?
a)
(x, y) → (x, 3y)
b)
(x, y) → (3x, 3y)
c)
(x, y) → (x, y - 3)
d)
(x, y) → (0.5x, 0.4y)
26.
Which letter does not have symmetry?
G H O E
G H O E
a)
G
b)
H
c)
O
d)
E
27.
Which of the below describes the symmetry of the letter A?
a)
Line only
b)
Point only
c)
Both
d)
Neither
28.
Describe the transformation.
a)
translation: right 4 and 2 down
b)
reflection across the y-axis
c)
rotation -90⁰ about the origin
d)
rotation 180⁰ about the origin
29.
How many of these shapes have EXACTLY ONE line of symmetry?
a)
0
b)
3
c)
8
d)
9
30.
How many lines of symmetry does this regular figure have?
a)
2
b)
4
c)
6
d)
8
31.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
6
32.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
33.
What is the order of the shown regular octagon?
a)
2
b)
4
c)
6
d)
8
34.
What is the first degree of rotation of the given figure?
a)
6
b)
60⁰
c)
72⁰
d)
5
35.
Which of the following uppercase letters show point symmetry?
a)
M
b)
W
c)
X
d)
Y
36.
Which of the following words show vertical line symmetry?
a)
DEED
b)
WOW
c)
SWIMS
d)
COOKBOOK
37.
The playing card shown shows what kind of symmetry?
a)
Line symmetry
b)
Rotational symmetry with order 4
c)
Point symmetry
d)
No symmetry
38.
The playing card shown shows what kind of symmetry?
a)
Line symmetry
b)
Rotational symmetry
c)
Point symmetry
d)
No symmetry
39.
The letter Z shows what kind of symmetry?
a)
Horizontal line symmetry
b)
Vertical line symmetry
c)
Point symmetry
d)
No symmetry
40.
The given figure has an order of _____ , has _____ lines of symmetry, and has a first degree of rotation of ______.
a)
2, 2, 180⁰
b)
4, 4, 90⁰
c)
6, 6, 60⁰
d)
Trick question! It does not have any rotational symmetry.
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