Dilations at the Origin

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)

Which is FALSE about dilations?

• The shape is the same.

• The size changes.

• Dilations can only occur with whole number scale factors

• Dilations produce similar figures

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

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

• True

• False

_{Line AB corresponds with what line?} 

• XZ

• XY

• YZ

• YX

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)