Reassessment on Dilations

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

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

• ½

• ¼

• 4

• 2

A dilation is which of the following: 

• only an enlargement
• only a reduction
• Either an enlargement or a reduction
• Neither an enlargement or a reduction

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)

When A(3, 6) is under a dilation of 2 what are the coordinates of A'?

• (3, 6)

• (1.5, 3)

• (6, 12)

• (12, 6)

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True
• False

When the scale factor of a dilation is less than one, the dilation is a reduction.

• True
• False

How do you write the algebraic notation when the scale factor is 3?

• (x, y) --> (1/3x, 1/3y)

• (x, y) --> (-3x, -3y)

• (x, y) --> (x + 3, y + 3)

• (x, y) --> (3x, 3y)

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)

Which of the following is the algebraic representation for a dilation?

• (x, y) → (x, 3y)
• (x, y) → (3x, 3y)
• (x, y) → (x, y - 3)
• (x, y) → (.5x, .4y)