WorksheetsTranslations, Reflections, Dilations, Rotations
Total questions: 42
Worksheet time: 1hrs 3mins
Name
Class
Date
1.
Which translation will move the blue shape to the green shape?
a)
3 Left
3 Down
b)
3 Right
3 Up
c)
2 Right
3 Up
d)
2 Left
3 Down
2.
Choose all of the following that will translate shape B to shape A.
a)
Horizontal -3
Vertical -5
b)
3 Left
5 Down
c)
2 Left
4 Up
d)
Horizontal -2
Vertical 4
3.
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)
4.
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)
d)
(x-9, y+2)
5.
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)
6.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
7.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
270 counterclockwise
d)
90 degrees clockwise
8.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
9.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
10.
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
11.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
12.
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)
13.
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)
14.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
15.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
16.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
17.
Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
18.
Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
19.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
20.
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
21.
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
22.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
23.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
24.
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)
25.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
26.
This figure is in quadrant 4. If it is rotated 90 degrees counter clockwise, which quadrant will it end in?
a)
quadrant 1
b)
quadrant 2
c)
quadrant 3
d)
quadrant 4
27.
If this figure is rotated 180 degrees, which quadrant will it end up in?
a)
quadrant 1
b)
quadrant 2
c)
quadrant 3
d)
quadrant 4
28.
Which quadrant is Point U located?
a)
quadrant 1
b)
quadrant 2
c)
quadrant 3
d)
quadrant 4
29.
What is the rule for the following reflection?
a)
Reflection across y = −1
b)
Reflection across y = 1
c)
Reflection across x = −1
d)
Reflection across x = 1
30.
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
31.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
32.
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)
33.
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)
34.
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)
35.
Triangle GHI is reflected across the x-axis. What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
36.
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
37.
Triangle ABC is going to be translated. Where would A' position be at, if the translation was be (x,y) --> (x+3, y-2)?
a)
(-1,3)
b)
(5,3)
c)
(5,8)
d)
(3,5)
38.
Under what composition of transformations does triangle ABC map onto triangle A''B''C''
a)
Reflection over x-axis, then Rotation of 90 Degrees
b)
Rotation of -90 Degrees, then Reflection over y-axis
c)
Reflection over y-axis, then Rotation of -90 Degrees
d)
Rotation of 90 Degrees, then Reflection over x-axis
39.
The coordinates
of triangle JRB are ,J(1, -2) , R(-3, 6) and B(4, 5) . What are the coordinates of the vertices of its
image after the transformation T2, -1 o ry-axis ?
a)
(3, 1), (-1, -7), (6, -6)
b)
(3, -3), (-1, 5), (6, 4)
c)
(1, -3), (5, 5), (-2, 4)
d)
(-1, -2), (3, 6), (-4, 5)
40.
What are the coordinates of point A' , the image of point A(-4, 1) after the composite transformation r90 o Ry=2 where the origin is the center of rotation?
a)
(-3, -4)
b)
(-4, -3)
c)
(3, 4)
d)
(4, 3)
41.
Triangle XYZ has vertices X(-2, 2) Y(3, 2) and Z(-5, -6). Rotate the figure 180 degrees, translate it 2 units up and 4 units right, then dilate by a scale factor of 2. What are the new coordinates?
a)
X'''(8,4) Y'''(-2,4) Z'''(14,20)
b)
X'''(12,0) Y'''(2,0) Z'''(18,16)
c)
X'''(12,0) Y'''(2,0) Z'''(3, 4)
d)
X'''(8,4) Y'''(2,0) Z'''(14,20)
42.
Which would be the correct notation for the composition of transformations from blue to red to green?
a)
T<-4,0> o Ry axis
b)
T<0,-4> o Ry axis
c)
Ry axis o T<0,-4>
d)
Rx axis o Ry axis
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