Dilations

Which of the following statements is true about the scale factor (k) for this dilation?

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

If triangle ABC was dilated by a scale factor of 3, with the origin as the center of dilation, what would the coordinates of B' be?

• (12,0)

• (12,12)

• (4,3)

• (0,12)

What is the correct scale factor for this dilation?

• 2.5

• 1.5

• 3.5

• 4

State the coordinates of point C after a dilation with a scale factor of 1/2 and center of dilation at point P.

• (-6, 1)

• (-3, -2)

• (1, -6)

• (-2, -3)

A triangle has vertices with coordinates A(2,0), B(3, -1) and C(-2,-5). If the triangle is dilated by a scale factor of 3, with the origin as the center of dilation, what are the coordinates of the vertices of the new image?

• A'(5,3), B'(6,2), C'(1,-2)

• A'(6,0), B'(9,-3), C'(-6,-15)

• A'(2/3,0), B'(1,-1/3), C'(-2/3,-5/3)

• A'(-1,-3), B'(0,-4), C'(-5,-8)

State the coordinates of point B after a dilation, with the center of dilation at the origin, and a scale factor of 1/2.

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

What are the coordinates for the center of dilation?

• (0, 0)

• (4.5, 5.5)

• (3, 2)

• (6.5, 4)

What are the coordinates for the center of dilation?

• (3, 0)

• (0, 0)

• (3, 1)

• (3, -2)

Point A is ( 7, 3) and Point A' is ( 21, 9). What is the algebraic rule for this dilation if the center of dilation is at the origin?