How Does the Area of a Figure Change When Dilated

A rectangle is dilated by a scale factor of 3/4. What will be the resulting effect on the perimeter?

• It will be dilated by a scale factor of 3/4

• It will be dilated by a scale factor of 9/16

• It will be dilated by scale factor of 4/3

• It will be dilated by scale factor of 16/9

A rectangle is dilated by a scale factor of 3. What will be the resulting effect on the area?

• It will be 3 times larger

• It will be 9 times larger

• There will be no effect on the area

• It will be 1/3 times smaller

The diameter of a circle is dilated by a scale factor of 0.6, what will be the effect on the circle's circumference? *Circumference is the perimeter of a circle*

• The circumference will be 0.3 times as large

• The circumference will be 0.36 times as large

• The circumference will be 1.88 times as large

• The circumference will be 0.6 times as large

A figure is going to be dilated by a scale factor of 3.5. Which of the following describes the effect of the dilation on the area of the figure?

• The area will become 3.5 times larger

• The area will become 7 times larger.

• The area will become 12.25 times larger.

• The area will become 49 time larger

A rectangular paper diploma is mounted in a frame similar in shape. Each dimension of the frame is 1.2 times the corresponding dimension of the diploma. Which of the following is correct?

• The area of the framed diploma is 1.2 times the area of the diploma.

• The area of the framed diploma is 2.4 times the area of the diploma.

• The perimeter of the framed diploma is 4.8 times the perimeter of the diploma.

• The perimeter of the framed diploma is 1.2 times the perimeter of the diploma.

A figure is dilated by a scale factor of 4. Which of the following statements about the figure must be true?

• The perimeter and area are both multiplied by 4.

• The perimeter is multiplied by 4 and the area is multiplied by 16.

• The perimeter and area are both divided by 4.

• The perimeter is multiplied by 16 and the area is multiplied by 4.

What is the formula that compares the areas of the image and preimage?

• A' = A(sf)

• A = A'(sf)

• A' = A(sf²)

• A = bh

What is the formula that compares the perimeter of the image with the perimeter of the preimage?

• P' = P(sf)

• P = P'(sf)

• P = 2l + 2w

• P' = l + w