Unit 5 lesson 12 transformations and congruence unit test
1. Which transformation always produces a congruent figure?
A) Reflection
B) Translation
C) Rotation
D) Dilation
2. Which statement about a dilation is NOT true?
A) A dilation involves scaling a figure up or down
B) The scale factor of a dilation can be greater than 1
C) The image of a dilation is always congruent to the original figure
D) The center of dilation is a fixed point
3. Which transformation does not preserve the length of a line segment?
A) Reflection
B) Translation
C) Rotation
D) Dilation
4. In the figure below, triangle ABC is reflected over the y-axis. What will be the coordinates of the image triangle A'B'C'?
A) A'(-1, 2), B'(-3, 4), C'(-3, 6)
B) A'(-2, 1), B'(-4, 3), C'(-4, 5)
C) A'(-1, 2), B'(-2, 4), C'(-1, 6)
D) A'(-2, 1), B'(-3, 3), C'(-2, 5)
5. Which transformation preserves both angles and side lengths?
A) Reflection
B) Rotation
C) Translation
D) Dilation
6. What transformation is applied to rectangle ABCD to create rectangle A'B'C'D' shown below?
A) Translation
B) Rotation
C) Reflection
D) Dilation
7. If a triangle is reflected over the x-axis, what happens to the y-coordinate of each vertex?
A) It stays the same
B) It becomes the opposite
C) It gets multiplied by a factor
D) It becomes zero
8. Which transformation is used to create an enlargement of a figure?
A) Reflection
B) Translation
C) Rotation
D) Dilation
9. If triangle ABC is rotated 90 degrees clockwise around point A, what will be the new coordinates of point C?
A) (2, 1)
B) (-1, 2)
C) (-2, 1)
D) (1, -2)
10. If a figure is translated up 5 units and right 3 units, how will the new coordinates be related to the original coordinates?
A) Subtract 5 from x and 3 from y
B) Add 5 to x and 3 to y
C) Add 5 to x and subtract 3 from y
D) Subtract 5 from x and add 3 to y
Answer Key:
1. D) Dilation
2. C) The image of a dilation is always congruent to the original figure
3. D) Dilation
4. B) A'(-2, 1), B'(-4, 3), C'(-4, 5)
5. B) Rotation
6. C) Reflection
7. B) It becomes the opposite
8. D) Dilation
9. B) (-1, 2)
10. B) Add 5 to x and 3 to y