Font size
S
M
L
XL
WorksheetsReflections, Translations, and Rotations
Total questions: 61
Worksheet time: 2hrs 8mins
Name
Class
Date
1.
What is the transformation for the following reflection?
a)
Reflection across y = −1
b)
Reflection across y = 1
c)
Reflection across x = −1
d)
Reflection across x = 1
2.
What is this transformation?
(x, y) ----> (-x, y)
(x, y) ----> (-x, y)
a)
Reflect over the x axis
b)
Reflect over the y-axis
c)
Slide down 1
d)
slide left 1
3.
What is the Rule for this Reflection?
a)
(x, y) → (y, x)
b)
(x, y) → (-x, y)
c)
(x, y) → (-y, -x)
d)
(x, y) → (x, -y)
4.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
5.
B(-2, -4)
Reflect over the line y = x
Reflect over the line y = x
a)
(2, -4)
b)
(-4, 2)
c)
(-4, -2)
d)
(4, 2)
6.
Point C (-5, 4) is reflected over the x-axis. What are the coordinates of C'?
a)
(5, 4)
b)
(-5, -4)
c)
(5, -4)
d)
(-5, 4)
7.
What point do you get if you reflect the point ( -6,1) over the line y = -x?
a)
(-1,-6)
b)
(6,-1)
c)
(1,6)
d)
(-1,6)
8.
The point ( -2,5) is reflected over the line x = 1. Find its image.
a)
( 4, 5)
b)
( -2 , -5)
c)
( 2 , 5)
d)
(2 , -5)
9.
Quadrilateral CJKM is reflected across the x-axis. What are the coordinates of K' if the pre-image is C(-3, 1), J(0, 1), K(1, -4), M(-4, -2).
a)
(4, 1)
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
10.
Triangle ABC is reflected over the y-axis. If the coordinates are A(4, 4), B(0, 4), C(3, 2); What are the coordinates of C' ?
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
11.
Reflections over the x-axis change the __________.
a)
y-coordinate
b)
x-coordinate
c)
angle measurements
d)
order of the coordinates
12.
Reflections over the y-axis change the ___________.
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis
13.
What is the transformation for the following reflection?
a)
Reflection across y = −2
b)
Reflection across y = 2
c)
Reflection across x = 2
d)
Reflection across x = −2
14.
What is the rule for the following reflection?
a)
(x,y) -> (x, -y)
b)
(x,y) -> (-x, y)
c)
(x,y) -> (y, x)
d)
(x,y) -> (-y, -x)
15.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
16.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
17.
Triangle GHI is reflected across the x-axis. What are the coordinates of I' if the coordinates of the triangle are G(3, -4) H(0, -2) I(6, -2)?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
18.
Match the following
a)
Reflect over the line y = x
1.
(x,y) -> (y, x)
b)
Reflect over the y-axis
2.
(x,y) -> (-x, y)
c)
Reflect over the line y = -x
3.
(x,y) -> (-y, -x)
d)
Reflect over the x-axis
4.
(x,y) -> (x, -y)
19.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across y = x
d)
Reflection across y = 1
20.
If B(-4, 6) is reflected across y = x, what are the coordinates of B'?
a)
(4, -6)
b)
(6, -4)
c)
(-6, 4)
d)
(-4, -6)
21.
If A(2, 7) is reflected across y = -x, what are the coordinates of A'?
a)
(7, 2)
b)
(-2, -7)
c)
(-7, -2)
d)
(-2, 7)
22.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
23.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
24.
Determine where T' would be if you translated T 3 units to the right and 6 units up.
a)
(5, 1)
b)
(2, -5)
c)
(-1, 1)
d)
(8, -2)
25.
How was B translated to B' if B' is at (4, -2)?
a)
Translated 6 units down
b)
Translated 2 units to the left and 6 units down
c)
Translated 2 units to the right and 6 units down
d)
Translated 2 units to the right
26.
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
27.
How would you translate point P to P'?
a)
Translate 2 units to the right and 8 units down
b)
Translate 3 units down and 2 units to the right
c)
Translate 4 units down and 4 units to the left
d)
Translate 8 units to the right and 2 units down
28.
Where would A' be if you translated A 3 units to the right and 4 units down?
a)
(-4, 4)
b)
(-1, 0)
c)
(0, -1)
29.
Where would point J' be if you translated point J 5 units to the left and 2 units up?
a)
(5, 3)
b)
(3, -5)
c)
(-5, 3)
d)
(-3, 5)
30.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
31.
How do you represent a translation Algebraically?
a)
(-y, -x)
b)
(x + a, y + b)
c)
(-x , -y)
d)
(ax, by)
32.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
33.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
34.
The result of a transformation.
a)
Pre-image
b)
Image
35.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
36.
What transformation is happening?
(x, y) ----> (x + 2, y - 3)
(x, y) ----> (x + 2, y - 3)
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
37.
What does this transformation say to do?
(x, y) -----> (x, y +4)
(x, y) -----> (x, y +4)
a)
slide down 4
b)
slide up 4
c)
slide right 4
d)
slide left 4
38.
Point M (-3, 5) is translated using this rule.
(x, y) ----> (x - 1, y)
What are the coordinates of M'?
(x, y) ----> (x - 1, y)
What are the coordinates of M'?
a)
(-4, 5)
b)
(-2, 5)
c)
(-4, 4)
d)
None of these
39.
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
40.
What rule describes the translation?
a)
(x - 6, y + 2)
b)
(x - 2, y + 6)
c)
(x + 2, y - 6)
d)
(x + 6, y - 2)
41.
What happens to (-9, 3) when it is translated 4 units down and 3 units right?
a)
(-6, -1)
b)
(-13, 6)
c)
(-5, 6)
d)
(-6, 7)
42.
Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.
a)
(-4,-3)
b)
(-4,3)
c)
(4,-3)
d)
(3,4)
43.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a)
(0, 0)
b)
(-6, -5)
c)
(-1, 3)
d)
(-6, 2)
44.
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)
45.
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)
46.
Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
47.
Triangle B is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
48.
Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
49.
Triangle C is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
50.
Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
51.
Triangle B is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
52.
Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
53.
Triangle A is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
54.
Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 270° counterclockwise?
a)
(x,y)→(y, -x)
b)
(x,y)→(x,y)
c)
(x,y)→(-y,x)
d)
(x,y)→(-x,-y)
55.
Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which rule describes rotating 180° clockwise?
a)
(x,y)→(y, -x)
b)
(x,y)→(-x,-y)
c)
(x,y)→(x,y)
d)
(x,y)→(-y,x)
56.
Triangle B is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?
a)
(x,y)→(y, -x)
b)
(x,y)→(x,y)
c)
(x,y)→(-x,-y)
d)
(x,y)→(-y,x)
57.
Rotate the point (7,8) around the origin 90 degrees counterclockwise.
State the image of the point.
State the image of the point.
a)
(-7,-8)
b)
(8,-7)
c)
(-8,7)
d)
(8,7)
58.
Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.
a)
(-8,5)
b)
(8,-5)
c)
(8,5)
d)
(5,-8)
59.
Rotate the point (5,5) around the origin 180 degrees counterclockwise. State the image of the point.
a)
(5,-5)
b)
(5,5)
c)
(-5,5)
d)
(-5,-5)
60.
If you rotate point A(-3,4) 180 degrees clockwise and then rotate it again 90 degrees counter clockwise what would be the coordinates of A"?
a)
(-3,-4)
b)
(-4,-3)
c)
(3,-4)
d)
(4,3)
61.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
Reset
