Dilations and Scale Factor

If a triangle has a scale factor of 3, how does its area change?

• The area of the triangle increases by a factor of 3

• The area of the triangle increases by a factor of 6

• The area of the triangle increases by a factor of 9

• The area of the triangle remains the same

If the point (8, 12) is dilated to become point (2, 3), what is the scale factor?

• 1/2

• 1/4

• 1/3

• 1/8

What does a scale factor of 1 indicate?

• The figure is enlarged.

• The figure is reduced in size.

• The figure remains the same size.

• The figure is flipped upside down.

What is the effect of a negative scale factor on a figure?

• A negative scale factor reflects the figure across the origin and changes its size.

• A negative scale factor enlarges the figure without changing its orientation.

• A negative scale factor reduces the figure's size but keeps its orientation the same.

• A negative scale factor rotates the figure 90 degrees clockwise.

Define 'dilation' in geometry.

• A transformation that alters the size of a figure but not its shape.

• A transformation that changes the shape but not the size of a figure.

• A transformation that rotates a figure around a point.

• A transformation that reflects a figure across a line.

What happens to a figure when the scale factor is less than one?

• The new figure will be a reduction.

• The new figure will be an enlargement.

• The new figure will remain the same size.

• The new figure will be distorted.

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

• Multiply the length of a side of the new figure by the length of the corresponding side of the original figure.

• Add the lengths of the corresponding sides of the two figures.

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

• Subtract the length of the original figure from the length of the new figure.

What is the scale factor?

• A number that describes how much a figure is enlarged or reduced.

• A measurement of the area of a figure.

• A ratio that compares the lengths of two sides of a triangle.

• A constant that determines the color of a figure.

What is the scale factor from a small shape to a big shape if the scale factor is 2?

• The big shape is twice the size of the small shape.

• The big shape is three times the size of the small shape.

• The big shape is half the size of the small shape.

• The big shape is the same size as the small shape.

If a rectangle's dimensions are doubled, what is the scale factor?

• 1

• 2

• 3

• 4