Dilation Area and Perimeter

A square with an area of 16 square inches has been dilated to a square with an area of 64 square inches. What is the scale factor of the dilation?

• k = 1/2

• k = 1/4

• k = 2

• k = 4

A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?

• (5,3), (6,2), (1,-2)

• (6,0), (9,-3), (-6,-15)

• (2/3,0), (1,-1/3), (-2/3,-5/3)

• (-1,-3), (0,-4), (-5,-8)

A square is dilated by a scale factor of 4.3. Which statement is true?

• The perimeter of the new square will be 18.49 times the perimeter of the old square.

• The perimeter of the new square will be 3 times the perimeter of the old square.

• The area of the new square will be 4.3 times the area of the old square.

• The area of the new square will be 18.49 times the area of the old square.

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

If a shape is dilated by a scale factor of 1/2, what is the resulting perimeter?

• The new perimeter is 1/2 the original

• The new perimeter is 2 times the original

• The new perimeter is 1/4 the original

• The new perimeter is 4 times the original

A figure is multiplied by the scale factor 1/4. What will be the change in perimeter?

• The perimeter will be 1/4 the original perimeter.

• The perimeter will be 1/8 the original perimeter.

• The perimeter will be 1/16 the original perimeter

A figure is multiplied by the scale factor 1/4. What will be the change in area?

• The area will be 1/4 the original area.

• The area will be 1/8 the original area.

• The area will be 1/16 the original area.

A rectangle has a base 4 ft and height of 5 feet. If the figure dilated by a scale factor of 2, what will be true about its area?

• The area is doubled.

• The area is multiplied by 4.

• The area stays the same

If the linear scale factor is 4, what is the area scale factor?

• 2

• 8

• 16

• 25

If the linear scale factor is 6, what is the area scale factor?

• 12

• 6

• 36

• 18