Dilations Given a Center

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

A triangle has vertices A(0,0), B(8,0), C(3,-2). Find the coordinates of the triangle after a dilation with a scale factor of 4.

• A(3,3), B(4,4), C(-3,-4)

• A(-4,8), B(6.5,8), C(7,7)

• A(0,0), B(32,0), C(12,-8)

After dilations, angles are ....

• similar

• congruent

• smaller

• larger

After dilations, the sides of the figure are...

• always smaller

• always larger

• the same

• proportional

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

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

_{Line AB corresponds with what line?} 

• XZ

• XY

• YZ

• YX

What scale factor was used to produce the image?

• 2

• -2

• ¹/₂

• 1

The center of dilation is important because

• it's the location from which the dilation occurs.

• All of the corresponding points of the image and pre image are on the lines radiating from the Center of Dilation.

• it's a fixed point on the plane about which all points are expanded or contracted.

• All of the above