Dilations in Coordinate Plane

A dilation is which of the following: 

• An enlargement

• A reduction

• Either an enlargement or a reduction

• Neither an enlargement or a reduction

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

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)

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

• (5,3)

• (20,12)

• (-20,-12)

• (-5,-3)

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

• addition 

• subtraction 

• multiplication 

• division 

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

• an enlargement

• a reduction

• a scale factor

• bigger

What is the scale factor if the triangle on the left is the original?

• 2

• 3/2

• 2/3

• 1/2

What is the scale factor if the smaller rectangle is the original rectangle?

• 4

• 25

• 5

• 6

The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.

• reduction

• enlargement

• scale factor

• center of dilation

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'(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)