Dilation Measurement

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

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.

The scale factor for this dilation is:

Mathematical Equivalence

ON

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

• 3 units

• 11⅔ units

• 5 units

• 4⅕ units 

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)

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(9,9) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

A scale factor of less than one means

• that the image will be larger than the pre-image.

• That the image will be the same as the pre-image.

• That you need to subtract that amount off  of each side.

• That the image will be a reduction of the pre-image.