Exploring Dilations and Scale Factor

What is dilation in mathematics?

• A proportional change in shape size

• A type of geometric symmetry

• A technique for angle measurement

• A method to calculate area

What does a scale factor of 1 imply about a figure?

• The figure increases in size

• The figure decreases in size

• The figure remains the same size

• The figure changes shape

If a square's side is 2 and the scale factor is 2, what is the side length of the dilated square?

• 4

• 2

• 8

• 1

How do you calculate the new coordinates of a point after dilation?

• Multiply each coordinate by the scale factor

• Add the scale factor to each coordinate

• Divide each coordinate by the scale factor

• Subtract the scale factor from each coordinate

What happens to the side lengths of a figure after a dilation with a scale factor of 1/2?

• They remain unchanged

• They become zero

• They double

• They become half

Do angle measurements change after dilation?

• Yes, they increase

• Yes, they decrease

• No, they remain the same

• It depends on the figure

How is the perimeter of a figure affected by a dilation with a scale factor of 1/2?

• It becomes half

• It remains the same

• It becomes zero

• It doubles

What is the area of a figure after a dilation with a scale factor of 1/2, if the original area was 64 square units?

• 16 square units

• 128 square units

• 64 square units

• 32 square units

How do you find the scale factor between two similar figures?

• Divide the perimeter of the new figure by the original

• Multiply the side lengths of the new figure by those of the original

• Add the side lengths of the new figure to those of the original

• Divide the side length of the new figure by the corresponding side length of the original

If the side length of the new figure is 10 and the corresponding side length of the original is 4, what is the scale factor?

• 6.5

• 1.5

• 0.4

• 2.5