How Does Area of Figures Change When Dilated

If the scale factor is greater than one, the new figure will be

• reduction

• enlargement

• scale

• not proportional

When you dilate a figure you...

• slide it.

• turn it.

• flip it.

• make it larger or smaller.

How many times an object is getting bigger or smaller is called a ___________

• proportion

• scale factor

• perimeter

• area

A figure has an area of 50 units² What will the new area be after a dilation with a scale factor of 3?

• 150 units²

• 7,500 units²

• 450 units²

A rectangle has an area of 30 cm². The rectangle is dilated with a scale factor of 3. What is the area of the new rectangle?

• 30 cm²

• 90 cm²

• 270 cm²

• impossible to know

What is the scale factor used to dilate the small square to the larger square given there areas?

• 4

• 16

• 3

• 12

• F

• G

• H

• J

Which rule applies to a dilation by a scale factor of 4

• (x, y) ----> (x + 4, y + 4)

• (x, y) ----> (4x, 4y)

• (x, y) ----> (y, -x)

• (x, y) ----> (x, -y)

A preschool has a rectangular field and a rectangular playground that are similar in shape. Each dimension of the field is 3 times the corresponding dimension of the playground. Which statement is true?

• The area of the field is 9 times the area of the playground.

• The area of the field is 3 times the area of the playground.

An architect was hired to construct a den in the shape of a square. If the client wanted to double the length of each side of the square, how would the new area of the room compare with the area of the original room?

• The areas would be exactly the same.

• The new area would be twice the original area.

• The new area would be four times the original area.

• The new area would be eight times the original area.