Areas of Dilations

In the coordinate plane, segment PQ is the result of a dilation of segment XY by a scale factor of 1/2. Which point is the center of dilation?

• ( -4, 0 )

• ( 0, -4 )

• ( 0, 4 )

• ( 4, 0 )

The segment AB is dilated to create the segment A'B'. What are the coordinates of the center of the dilation?

• ( 5, 7 )

• ( 8, 1 )

• ( 0, 4 )

• ( -1, 4 )

If the triangle at the right were to be dilated using a scale factor of 1/2 , which is the only triangle below that could represent the transformed image?

• A

• B

• C

• D

If you were to dilate line AB using point C as the center of dilation, which of the below would best describe the newly created image? (You may assume that the scale factor is not 1.)

• A line segment

• A ray

• A line that is parallel to line AB

• A line that is in the same place as line AB

The point B(6, 9) is dilated by a scale factor of 1/3. What is the location of B'?

• B' (18, 27)

• B' (3, 2)

• B' (2, 3)

• B' (9, 6)

The point C(4, 12) is dilated to the point A'(16,48). What is the scale factor?

• 1/4

• 4

• 16

• 1

ABCD is dilated by a scale factor of 3 to create A'B'C'D'. If AB=6, what is A'B'?

• 2

• 9

• 18

• 3

Which of the following expressions describes the ratio of the areas of two dilated figures with scale factor k?

• 1

Rectangle ABCD is dilated by a scale factor of 3 to create A'B'C'D'. If the area of ABCD is 12, what is the area of A'B'C'D'?

• 36

• 4

• 72

• 108

Triangle CDE is dilated about the origin by a scale factor of 2. What is the location of D'?

• (-2, 4)

• (-2, 2)

• (-1, 1)

• (4, -2)