Dilations and Scale Factor

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

• ½

• ¼

• 4

• 2

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

• B' (2 , 4.5)

• B' (-8 ,-18)

• B' (8 ,18)

• B' (9 ,4)

State the coordinate of the image of the given point G (-10,-6) under a dilation with center at the origin with the given scale factor of 1/2.

• G' (5,3)

• G' (20,12)

• G' (-20,-12)

• G' (-5,-3)

The red triangle has been dilated by a scale factor of 1/4 about the origin, which triangle is it's new image?

• green triangle 

• red triangle 

• black triangle

• none of these 

If the origin is the center of this dilation, choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

What scale factor was used to produce the image?

• 2

• -2

• ¹/₂

• 1

Triangle ABC will be dilated using the rule (x, y)→(2x, 2y).  What will be the coordinates of C'?

• (12, -3)

• (12, -6)

• (3, -1.5)

• (8, -5)

Triangle CAT has coordinates C (4,8) A (6,10) and T ( 6,4) where is A' after a dilation of scale factor of 1/2 

• (6,10)

• (3,2)

• (3,5)

• (0,0)

How do you write the algebraic notation when the scale factor is 1/2?

• (x, y) −> (2x, 2y)

• (x, y) −> (1/2x, 1/2y)

• (x, y) −> (-2x, -2y)

• (x, y) −> (2x, 1/2y)

What is the scale factor between ABCDE to A'B'C'D'E'?

• 6

• 1/3

• 2