Dilations Similar Figures and Scale Factor

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)

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 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

Similar figures have the same ______ but different ______. 

• measure; shapes

• sizes; shapes

• value; measures

• shape; sizes

Is this an enlargement or reduction? (blue = original image)

• reduction

• enlargement

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)

_{Line AB corresponds with what line?} 

• XZ

• XY

• YZ

• YX

After dilations, angles are ....

• similar

• congruent

• smaller

• larger