Understanding Dilations and Transformations

What is the main difference between a dilation and other transformations like translation or rotation?

• Dilations do not affect the size of the figure.

• Dilations create congruent figures.

• Dilations create similar figures.

• Dilations change the shape of the figure.

Which transformation results in figures that are the same shape but different sizes?

• Dilation

• Rotation

• Reflection

• Translation

What does a scale factor greater than one indicate in a dilation?

• The image is smaller than the original.

• The image is larger than the original.

• The image is the same size as the original.

• The image is a different shape than the original.

If a scale factor is less than one, what type of transformation occurs?

• Enlargement

• Reduction

• Rotation

• Translation

How do you perform a dilation on a coordinate plane?

• Subtract the scale factor from each coordinate.

• Divide each coordinate by the scale factor.

• Add the scale factor to each coordinate.

• Multiply each coordinate by the scale factor.

What happens to a figure when it is dilated with a scale factor of 1/2?

• The figure doubles in size.

• The figure remains the same size.

• The figure is reduced to half its size.

• The figure changes shape.

In a dilation, if the original point is (3, 4) and the scale factor is 2, what is the new point?

• (9, 12)

• (3, 4)

• (1.5, 2)

• (6, 8)

What is the result of multiplying each coordinate of a point by a scale factor of 2?

• The point is reduced to zero.

• The point remains unchanged.

• The point is halved.

• The point is doubled.

If a triangle's coordinates are multiplied by a scale factor of 1/2, what happens to the triangle?

• It changes shape.

• It remains unchanged.

• It becomes smaller.

• It becomes larger.

What is the scale factor if a point (10, 10) is transformed to (5, 5)?

• 1/2

• 1

• 0

• 2