WorksheetsTransformations
Total questions: 40
Worksheet time: 2hrs 36mins
Name
Class
Date
1.
What is the algebraic rule?
a)
A
b)
B
c)
C
d)
D
2.
Triangle RST has vertices R(1, 1), S(1, 4), and T(3, 1). Graph the figure and its rotated image after a counterclockwise rotation of 180° about the origin. What are the coordinates of Tʹ?
a)
(-3, -1)
b)
(-3,-2)
c)
(5,2)
d)
(5,4)
3.
An entire pre-image that is located in quadrant III is then rotated 90° clockwise about the origin. In which quadrant will the image fall?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
4.
Which algebraic rule will produce a translation that is 5 units to the right?
a)
(x, y) --> (
x , y + 5)
b)
(x, y) --> ( x-5 , y + 5)
c)
(x, y) --> ( x-2 , y + 5)
d)
(x, y) --> ( x+5 , y)
5.
A pre-image in quadrant II was rotated counterclockwise about the origin 360°. Which of the following is NOT true about his transformation?
a)
The
image will follow the rule (x, y) --> (y, x).
b)
The image will be back to its original position
c)
The image will follow the rule (x, y) --> (x, y).
d)
The image will be located in quadrant II.
6.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
7.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
8.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
9.
A flip is also called ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
10.
Describe the transformation in the image.
a)
Translation
b)
Reflection
c)
Rotation
11.
Describe the transformation in the image
a)
Translation
b)
Reflection
c)
Rotation
12.
Describe the transformation in the image
a)
Translation
b)
Reflection
c)
Rotation
13.
Describe the transformation in the iamge
a)
Translation
b)
Reflection
c)
Rotation
14.
Describe the transformation in the image.
a)
Translation
b)
Reflection
c)
Rotation
15.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
right two, down five
b)
right two, down 9
c)
left two, up 9
d)
left two, down 5
16.
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)
17.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
18.
Reflections over the x-axis change the sign of the ____-__________.
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis
19.
Reflecting over the y-axis changes the sign of the ____-_____________.
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
20.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
270 counterclockwise
21.
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)
22.
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)
23.
Definition: The figure before a transformation has occurred.
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
24.
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)
25.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
26.
∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?
a)
S'(3, 7)
b)
S'(-3, 7)
c)
S'(-3, -7)
d)
S'(3, 7)
27.
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)
28.
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)
29.
If the triangle is transformed following the rule (x,y)⊣(x,-y), what transformation is modeled?
a)
Dilation
b)
Reflection
c)
Translation
d)
Rotation
30.
Name the image of C(6, -4) under a rotation 270 degrees clockwise about the origin.
a)
C'(4, 6)
b)
C'(-4, -6)
c)
C'(6, 4)
d)
C'(-6, -4)
31.
(x, y) -------> (x, -y) is a reflection over the x axis.
a)
True
b)
False
32.
(x, y) -------> (-x, -y) is a rotation of 180 degrees.
a)
True
b)
False
33.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
34.
When you translate, (x,y+6) will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
35.
Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)
(x,y)-->(y,-x)
a)
(-5,-6)
b)
(5,-6)
c)
(6,5)
d)
(-6,5)
36.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
90 degrees clockwise
37.
After being transformed the new point is called a(n):
a)
Pre-Image
b)
Post Image
c)
Transformed
d)
Image
38.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
39.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
270 counterclockwise
40.
Identify the transformation from C to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
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