Math Dilations

A trapezoidal door mat is similar in shape to a trapezoidal rug. Each dimension of the door mat is 1/4 the size of the rug. Which statement is true?

• The area of the door mat is 1/6 the area of the rug

• The area of the door mat is 1/16 the area of the rug

• The perimeter of the door mat is 1/6 the perimeter of the rug

• The perimeter of the door mat is 1/16 the perimeter of the rug

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.

If your SF = 0.8, what type of dilation is it?

• Reduction

• Enlargement

If your SF = 2.5, what type of dilation is it?

• Reduction

• Enlargement

• Reduction

• Enlargement

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