Dilation Missing Measurements

Parallelogram PQRS is similar to to Parallelogram WXYZ. What is the length of line YZ?

• 3 units
• 11⅔ units
• 5 units
• 4⅕ units 

A triangle is enlarged by multiplying each of its dimensions by 4. Based on this information, which of the following is true?

• The perimeter of the new triangle is 12 times the perimeter of the original triangle
• The perimeter of the new triangle is 4 times the perimeter of the original triangle
• The perimeter stayed the same

Scale Factor = 5
What is the perimeter and area of the image after dilating by a scale factor of 5?

• P= 50 
  A=100
• P=60
  A= 225
• P= 12
  A=9
• P=6
  A=6

The perimeter of a square is 48 centimeters. If the square is dilated by a scale factor of 0.75, what is the length of each side of the new square?

• 9
• 12
• 7.5
• 10

Triangle PGR is similar to triangle XYZ? What is the length of line XZ?

• 11 in.
• 13.5 in.
• 9 in.
• 20.25 in.

If the scale factor of two similar objects is k, then the area scale factor is ____.

• k/2

• k²

• k³

• k/3

If the scale factor of two similar objects is k, then the volume scale factor is ____.

• k/2

• k²

• k³

• k/3

Jack has a picture that he wants to enlarge to a poster. Using the scale factor of 5:2, determine the width of the poster if the width of the picture is 3.5 inches.

• 7 inches

• 8.75 inches

• 12.25 inches

• 17.5 inches

Jack has a picture that he wants to enlarge to a poster. Using the scale factor of 5:2, determine the area of the poster if the area of the picture is 17.5 inches.

• 43.8 in²

• 66.5 in²

• 78.5 in²

• 109.4 in²

• 250 in²
• 100 in²
• 65 in²
• 40 in²