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WorksheetsModule 10- Transformations Review
Total questions: 19
Worksheet time: 17mins
Name
Class
Date
1.
Which of the following describes a figure and its image under a dilation?
a)
They are equivalent.
b)
They are congruent.
c)
They are similar.
2.
The only transformation that does not preserve size is a
a)
dialtion.
b)
reflection.
c)
translation.
3.
Which algebraic expression represents the transformation from the black triangle to the gray triangle?
a)
(x, y) -> (x+3, y+3)
b)
(x, y)-> (3x, 3y)
c)
(x, y)-> (x-2, y-2)
4.
The vertices of a square are located at (2,2), (5,2), (5,5), and (2,5). The square is dilated by a scale factor of 2 with a center of dilation at (0,0). What are the coordinates of the vertices of the image of the square?
a)
(4,4), (10, 4), (10,10), (4, 10)
b)
(1,1), (2.5, 1), (1, 2.5), (2.5, 2.5)
c)
(4, 4), (7, 4), (4, 7), (7, 7)
5.
KLMN is a rectangle. What is its image under a dilation with a scale factor of 1/3?
a)
a larger rectangle
b)
a smaller rectangle
c)
the same size rectangle
d)
a smaller square
6.
A triangle with angles of 30 degrees, 60 degrees, and 90 degrees is dilated by a scale factor of 3. What happens to the angles?
a)
They are tripled.
b)
They are divided by 3.
c)
They stay the same.
7.
What does the letter F look like when reflected across the y-axis?
a)
A backwards F
b)
An upside down F
c)
a regular F
8.
A dilation of a triangle is drawn using a scale factor of less than 1. Will the image be larger, smaller, or the same size?
a)
Larger
b)
Smaller
c)
Same Size
9.
What kind of transformation is shown?
a)
Reflection across the x-axis
b)
Reflection across the y-axis
c)
Rotation of 180 degrees
d)
Rotation of 90 degrees clockwise
10.
Square ABCD has a side length of 4 inches. The square is dilated by a scale factor of 4 to form A'B'C'D'. How can you transform A'B'C'D' back to square ABCD?
a)
a dilation with a scale factor 4
b)
a dilation with a scale factor 1/4
c)
a dilation with a scale factor 1/2
d)
a dilation with a scale factor 2
11.
If a figure is dilated by a scale factor of 1/3, what happens to the figure?
a)
It gets smaller.
b)
It gets bigger.
c)
It stays the same size.
12.
Which of the following is NOT a rational number?
a)
square root of 4
b)
square root of 9
c)
square root of -1
13.
A dilation preserves size.
a)
True
b)
False
14.
A dilation preserves shape.
a)
True
b)
False
15.
The gray figure is the image of the black figure after a dilation. Identify the dilation.
a)
dilation of 1/3
b)
dilation of 1/2
c)
dilation of 3
d)
dilation of 4
16.
A figure is dilated by a factor of 3.
The perimeter decreases.
The perimeter decreases.
a)
True
b)
False
17.
A figure is dilated by a factor of 3.
The area increases.
The area increases.
a)
True
b)
False
18.
What is the scale factor of the dilation from ABCD to A'B'C'D'.
a)
scale factor of 2
b)
scale factor of 3
c)
scale factor of 4
d)
scale factor of 1/3
19.
If a figure is dilated with a scale factor of 1/2, what is the algebraic representation of this dilation?
a)
(x, y) -> (x-1/2, y-1/2)
b)
(x, y) -> (1/2x, 1/2y)
c)
(x, y) -> (x+1/2, y+1/2)
d)
(x, y) -> (2x, 2y)
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