Dilation and Area of Shapes

If the scale factor is 4, what is the measurement of x?

• 20 m
• 24 m
• 16 m
• 4 m

Square A is dilated to create Square B. What scale factor was used to create the dilation?

• 1/7

• 4/5

• 5/4

• 7

If a shape is dilated by a scale factor of .5, what is the resulting area?

• The same as the area of the preimage

• The new area is twice as big as the preimage

• The new area is one fourth the preimage

• The new area is one half the preimage

A rectangle is dilated by a scale factor of 2. If the original rectangle has an area of 48 cm², what would be the area of the new rectangle?

• 96 cm²

• 192 cm²

• 216 cm²

• 2304 cm²

A rectangle has a width of 8 and a height of 11. If the rectangle is dilated by a scale factor of 2.5, which of the following statements best describes the perimeter of the new rectangle?

• The perimeter of the new rectangle will be the same as the perimeter of the original rectangle.

• The perimeter of the new rectangle will be 2.5 times as large as the perimeter of the original rectangle.

• The perimeter of the new rectangle will be 5 times as large as the perimeter of the original rectangle.

• The perimeter of the new rectangle will be 2.5 times smaller than the preimage

If a shape is dilated by a scale factor of one-half, what is the resulting perimeter? 

• The new perimeter is one-half the original
• The new perimeter is 2 times the original
• The new perimeter is one-fourth the original 
• The new perimeter is 4 times the original

The dimensions of a rectangle are enlarged using a scale factor of 2. How much bigger is the area of the second rectangle?

• The new area is 2 times the old area.

• The new area is 3 times the old area.

• The new area is 4 times the old area.

• not enough information

Triangle ABC is dilated using a scale factor of 1/2. What are the new coordinates of point A'?

• (-3, 3)

• (-12, 12)

• (-2, 2)

• (3, -3)

Figure ABCD has an area of 4 and a perimeter of 8. It is then dilated using a scale factor of 4. What is the perimeter of the new figure?

• 32

• 64

• 8

• 16

Does the image show a dilation?

• Yes

• No

• Not enough information

• No, that is clearly a Transrotreflation