Congruence and Transformations in Geometry Quiz

Test your understanding of congruence, reflections, rotations, translations, and dilations with this transformation geometry quiz.

#1

Which transformation does not change the size or shape of a figure?

Translation
Rotation
Reflection
Dilation
#2

What transformation occurs when a figure is flipped over a line?

Translation
Rotation
Reflection
Dilation
#3

What is the result of rotating a figure 90 degrees counterclockwise about the origin?

90-degree rotation
180-degree rotation
270-degree rotation
360-degree rotation
#4

What transformation occurs when a figure is moved along a straight line without changing its shape or size?

Translation
Rotation
Reflection
Dilation
#5

What transformation occurs when a figure is stretched or compressed?

Translation
Rotation
Reflection
Dilation
#6

What is the result of rotating a figure 180 degrees counterclockwise?

90-degree rotation
180-degree rotation
270-degree rotation
360-degree rotation
#7

Which of the following transformations changes the size of a figure?

Translation
Rotation
Reflection
Dilation
#8

If a figure is translated 3 units to the right and 4 units down, what is the translation vector?

(3, 4)
(-3, -4)
(4, 3)
(-4, -3)
#9

What is the image of point (2, 3) under a reflection across the x-axis?

(2, -3)
(-2, 3)
(2, 3)
(-2, -3)
#10

What is the image of point (5, -2) under a reflection across the y-axis?

(5, -2)
(-5, 2)
(-5, -2)
(2, -5)
#11

What is the name of a transformation that moves each point of a figure the same distance in the same direction?

Translation
Rotation
Reflection
Dilation
#12

Which of the following transformations preserves both distance and angle measures?

Translation
Rotation
Reflection
Dilation
#13

What is the transformation matrix for a dilation with a scale factor of 2?

[[2, 0], [0, 2]]
[[1, 0], [0, 1]]
[[0, -1], [1, 0]]
[[-1, 0], [0, -1]]
#14

If a figure is rotated 270 degrees counterclockwise about the origin, what are the coordinates of point (3, -4) after the rotation?

(4, 3)
(-3, 4)
(-4, -3)
(3, -4)
#15

What transformation matrix represents a reflection across the line y = x?

[[0, 1], [1, 0]]
[[0, -1], [-1, 0]]
[[1, 0], [0, -1]]
[[-1, 0], [0, 1]]

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