Exploring Dilations and Scale Factor

What does a dilation in geometry do to a figure?

• Changes its color

• Moves it to a different position

• Alters its size

• Rotates the figure

If the scale factor is greater than 1, what happens to the figure?

• It becomes a circle

• It gets smaller

• It gets larger

• It remains the same size

How is the scale factor represented?

• New over original

• Height over width

• Original over new

• Width over height

What is the new length of a side originally 15 inches after a dilation with a scale factor of 2/5?

• 60 inches

• 6 inches

• 30 inches

• 7.5 inches

What does a scale factor of 3.5 indicate about the transformation?

• The figure will get smaller

• The figure will rotate

• The figure will move

• The figure will get larger

How do you find the scale factor when working backwards from a dilation?

• Divide the original by the new size

• Multiply the original by the new size

• Divide the new size by the original

• Subtract the original from the new size

What is the scale factor if a triangle's side increases from 12 inches to 15 inches?

• 3

• 27

• 1.25

• 0.8

What is the primary purpose of a dilation in geometry?

• To change the shape's orientation

• To change the shape's position

• To change the shape's color

• To change the shape's size

What happens if the scale factor is less than 1?

• The figure remains unchanged

• The figure enlarges

• The figure reduces in size

• The figure rotates

To dilate a shape, what mathematical operation is used with the scale factor?

• Addition

• Subtraction

• Multiplication

• Division