Dilations 12/6

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

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

In a dilation what mathematical operation is used with the scale factor?

• addition 
• subtraction 
• multiplication 
• division 

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(3,3) B(6,6) C(9,3)

• A'(9,9) B'(18,18) C'(27,9)
• A'(6,6) B'(9,9) C'(12,6)
• A'(0,0) B'(3,3) C'(6,0)
• A'(1,1) B'(2,2) C'(3,1)

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

• (x, y) goes to (1/3x, 1/3y)
• (x, y) goes to (-3x, -3y)
• (x, y) goes to (x + 3, y + 3)
• (x, y) goes to (3x, 3y)

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

• (x, y) goes to (2x, 2y)
• (x, y) goes to (1/2x, 1/2y)
• (x, y) goes to (-2x, -2y)
• (x, y) goes to (2x, 1/2y)

A figure is dilated on a coordinate grid to create a similar, smaller figure. The figure is dilated using the origin as the center of dilation. Which rule could represent this dilation?

• A. (x, y) --> (1.5 - x, 1.5 - y)

• B. (x, y) --> (x - 10, y - 10)

• C. (x, y) --> (7/3x, 7/3y)

• D. (x, y) --> (0.75x, 0.75y)

If the scale factor is between 0 and one, the new figure will be

• an enlargement

• a reduction

• a scale factor

• bigger

If the scale factor is greater than one, the new figure will be

• a reduction
• an enlargement
• a scale
• not proportional