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Geometric Transformations in Algebra Quiz

#1

Which transformation involves changing the size of a geometric figure without altering its shape?

Dilation
Explanation

Dilation is a transformation that enlarges or reduces a figure while preserving its shape.

#2

What is the transformation that flips a geometric figure over a line?

Reflection
Explanation

Reflection is a transformation that mirrors a figure over a line, creating a symmetrical image.

#3

In a 2D plane, what transformation involves flipping a figure over a point?

Reflection
Explanation

Reflection over a point involves flipping a figure as if it were reflected in a mirror located at the specified point.

#4

What is the transformation that flips a figure over a line called?

Reflection
Explanation

Flipping a figure over a line is termed reflection, creating a mirrored image.

#5

What is the result of rotating a figure 180 degrees?

The figure remains unchanged
Explanation

A 180-degree rotation results in the figure staying identical to its original orientation.

#6

In a 2D plane, what transformation involves sliding a figure without rotating or changing its size?

Translation
Explanation

Translation is a transformation that moves a figure in a straight line without altering its shape or size.

#7

Which transformation preserves the distance between all points in a geometric figure?

Translation
Explanation

Translation is the only transformation that maintains the distance between all points in a figure.

#8

What is the transformation that stretches or shrinks a geometric figure from a fixed point?

Dilation
Explanation

Dilation stretches or shrinks a figure from a fixed point, altering its size while maintaining shape.

#9

What transformation involves turning a figure around a fixed point?

Rotation
Explanation

Rotation is a transformation where a figure pivots around a fixed point, changing its orientation.

#10

What happens when you reflect a figure over a line twice?

The figure remains unchanged
Explanation

Double reflection over the same line results in the original figure, as the two reflections cancel each other.

#11

What is the transformation that rotates a figure by 90 degrees counterclockwise?

90-degree counterclockwise rotation
Explanation

A 90-degree counterclockwise rotation turns a figure one-fourth of a full circle in the counterclockwise direction.

#12

What is the transformation that rotates a figure by 270 degrees counterclockwise?

270-degree rotation
Explanation

A 270-degree counterclockwise rotation turns a figure three-fourths of a full circle in the counterclockwise direction.

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