Introduction to Transformations

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Show your work for each problem.

1.
Which transformation slides every point the same distance in the same direction?
1. a)Reflection
2. b)Dilation
3. c)Rotation
4. d)Translation
2.
What is the original figure called before a transformation?
1. a)Image
2. b)Transformation
3. c)Reflection
4. d)Pre-image
3.
Which transformation creates a mirror image of a figure?
1. a)Rotation
2. b)Reflection
3. c)Translation
4. d)Dilation
4.
Point is translated 4 units right. What is the new -coordinate?
5.
Point is translated 5 units down. What is the new -coordinate?
6.
Which transformation turns a figure around a fixed point?
1. a)Translation
2. b)Reflection
3. c)Dilation
4. d)Rotation
7.
Point is reflected over the -axis. What is the new -coordinate?
8.
Point is reflected over the -axis. What is the new -coordinate?
9.
Which transformations preserve the size and shape of a figure? (Rigid transformations)
1. a)All four transformations
2. b)Rotation and Dilation
3. c)Dilation only
4. d)Translation, Reflection, Rotation
10.
Point is rotated counterclockwise about the origin. Find the coordinates of .
11.
Point undergoes a dilation with center at the origin and scale factor . Find the coordinates of .
12.
Triangle is transformed to triangle . If and , which transformation could NOT have been used?
1. a)Dilation with k not equal to 1
2. b)Reflection
3. c)Translation
4. d)Rotation
13.
Point is rotated about the origin. Find the coordinates of .
14.
Point undergoes a dilation with center at the origin and scale factor . Find the coordinates of .
15.
Point is translated 2 units left and 4 units up. Then it is reflected over the -axis. Find the final coordinates.
16.
A triangle has area 12 square units. After a dilation with scale factor , what is the area of the image?
17.
Point is rotated clockwise about the origin. What are the coordinates of ?
1. a)
2. b)
3. c)
4. d)
18.
Point is translated 3 units left and 2 units down. What is the new -coordinate?