WorksheetsTransformations
Total questions: 60
Worksheet time: 2hrs 17mins
Name
Class
Date
1.
(x, y) -------> (x, -y) is a reflection over the x axis.
a)
True
b)
False
2.
(x,y) -------> (-x, -y) is a reflection over the y = x axis.
a)
True
b)
False
3.
(x, y) -------> (x - 3, y) is a translation of 3 units to the left.
a)
True
b)
False
4.
(x, y) -------> (x, y - 2) is a translation of 2 units up.
a)
True
b)
False
5.
(x, y) -------> (-x, -y) is a rotation of 180 degrees.
a)
True
b)
False
6.
(x, y) -------> (-y, -x) is a rotation of 90 degrees counterclockwise.
a)
True
b)
False
7.
A dilation with a scale factor of 2 is a reduction.
a)
True
b)
False
8.
A dilation with a scale factor of 1/3 is a reduction.
a)
True
b)
False
9.
Which transformation changes the orientation of the shape?
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
10.
Which transformation is not a rigid transformation?
a)
Translation
b)
Reflection
c)
Rotation
d)
Dilation
11.
C(-6, 2) and B(-1, -1)
Rotate 90 degrees counterclockwise.
Rotate 90 degrees counterclockwise.
a)
C' (-6, 2), B' (-1, -1)
b)
C' (6, 2), B' (1, -1)
c)
C' (2, -6), B' (-1, -1)
d)
C' (-2, -6), B' (1, -1)
12.
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)
13.
An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.
a)
2
b)
3
c)
4
d)
5
14.
All angles in similar figures are congruent.
a)
True
b)
False
15.
Reflect the point (-1, 2) over the y-axis.
a)
(-1, -2)
b)
(1, 2)
c)
(1, -2)
d)
(1, 4)
16.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
17.
How does reflecting a figure over the y-axis change the ordered pair?
a)
Changes the x-coordinate
b)
Changes the y-coordinate
18.
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)
19.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
20.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
21.
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)
22.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
23.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
24.
Translation are always _______
a)
Congruent
b)
Bigger
c)
Smaller
d)
Rotated
25.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
26.
What is this picture an example of?
a)
An angle
b)
A cat vertex
c)
Rotation
27.
What transformation is happening to the red triangle to get to the blue triangle?
a)
Translation
b)
Rotation
c)
Reflection
28.
Describe the Transformation
a)
Translation
b)
Rotation
c)
Reflection
29.
What Transformation is visible?
a)
Translation
b)
Rotation
c)
Reflection
d)
Dilation
30.
What Transformation is visible?
a)
Reflection
b)
Translation
c)
Dilation
d)
Rotation
31.
What Transformation is visible?
a)
Translation
b)
Rotation
c)
Dilation
d)
Reflection
32.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
33.
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
34.
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)
35.
Reflections over the x-axis change the sign of the ____-__________.
a)
y-coordinate
b)
x-coordinate
c)
y-axis
d)
x-axis
36.
Reflecting over the y-axis changes the sign of the ____-_____________.
a)
x-axis
b)
x-coordinate
c)
y-coordinate
d)
none of the above
37.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise
b)
180 degrees
c)
270 counterclockwise
38.
Point (-5,2) is reflected over the y axis. Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
39.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the x-axis
c)
Reflection across the y-axis
d)
90o counter clockwise rotation
40.
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)
41.
Triangle ABC will be dilated by a scale factor of 1/2. What will be the coordinates of C'?
a)
(-1, -2.5)
b)
(12, 6)
c)
(3, -1.5)
d)
(0, 1.5)
42.
Enlargement or reduction? Find the scale factor!
a)
It's a reduction; the scale factor is 2.
b)
It's an enlargement; the scale factor is 2.
c)
It's an enlargement; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 1/2.
43.
If the scale factor is greater than 1, the dilation is...
a)
an enlargement
b)
a rotation
c)
a translation
d)
a reduction
44.
If the scale factor is less than 1, the dilation is...
a)
an enlargement
b)
a translation
c)
a rotation
d)
a reduction
45.
Enlargement or reduction? Find the scale factor!
a)
It's an enlargement; the scale factor is 1/2.
b)
It's an enlargement; the scale factor is 2.
c)
It's a reduction; the scale factor is 1/2.
d)
It's a reduction; the scale factor is 2.
46.
Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1). What are the coordinates of A' after a dilation by a scale factor of 2.5?
a)
(-5, 5)
b)
(5, -5)
c)
(5, 10)
d)
(7.5, -2.5)
47.
Rectangle ABCD is dilated so that A' is located at (3, 6). What could be the dilation rule?
a)
(2x, 3y)
b)
(2/3 x, 2/3 y)
c)
(3/2 x, 3/2 y)
d)
(x + 2, y + 3)
48.
The algebraic expression for an enlargement by a scale factor of 3 is...
a)
(x, y)→(3x, 3y)
b)
(x, y)→(3, 3)
c)
(3x, y)→(x, y)
d)
(x, y)→(3x)
49.
Triangle ABC will be dilated using the rule (x, y)→(2x, 2y). What will be the coordinates of C'?
a)
(12, -3)
b)
(12, -6)
c)
(3, -1.5)
d)
(8, -5)
50.
Definition: The figure after a transformation has occurred.
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
51.
A dilation is which of the following:
a)
only an enlargement
b)
only a reduction
c)
either an enlargement or a reduction
d)
neither an enlargement nor a reduction
52.
Definition: The figure before a transformation has occurred.
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
53.
A dilation always produces a congruent figure.
a)
True
b)
False
54.
A dilation always produces a similar figure. Similar figures have the same ______ but different ______.
a)
measure; shapes
b)
sizes; shapes
c)
value; measures
d)
shape; sizes
55.
Did the image enlarge, reduce or none of the above?
a)
Enlarge
b)
Reduce
c)
None of the above
56.
Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?
a)
Yes, enlarge
b)
Yes, reduce
c)
No
57.
What scale factor was used to produce the image?
a)
2
b)
3
c)
1/3
d)
1/2
58.
What scale factor was used to produce the image?
a)
1
b)
7
c)
18
d)
49
59.
What scale factor was used to produce the image?
a)
2
b)
-2
c)
1/2
d)
1
60.
Under a dilation, which scale factor will result in a congruent image?
a)
-2
b)
0
c)
1
d)
1/2
100 %
