Changing Dimensions Proportionally

When multiplying by a scale factor the perimeter will multiply by...

• The same scale factor

• The scale factor doubled

• The scale factor squared (to the power of 2)

When multiplying by a scale factor the area will multiply by...

• The same scale factor

• The scale factor doubled

• The scale factor squared (to the power of 2)

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 perimeter?

• The perimeter is doubled.

• The perimeter is quadrupled.

• The perimeter is two more.

• The perimeter is four more.

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

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.

If you multiply each dimension by 6, then what is the effect on the surface area?

• The surface area is multiplied by 36.

• The surface area stays the same.

• The surface area is multiplied by 6

• The surface area is multiplied by 216.

If all the edges of a prism are multiplied by 5, then the volume of the prism will be multiplied by ___.

• 5

• 25

• 50

• 125

Two cones are similar.  One cone has a radius of 12 inches, while the larger cone has a radius of 20 inches.  The volume of the larger cone is 20,000 cubic inches.  What is the volume of the small cone?

• 12,000 cubic inches

• 8000 cubic inches

• 7200 cubic inches

• 4320 cubic inches

Each edge of pyramid is multiplied by ⅔.  Then the surface area of the new pyramid will be _____ times larger than the original pyramid.

• 2/3

• 3/2

• 4/9

• 8/27