Dilations Around Origin

a transformation that ​changes the size (enlargement or reduction) of a figure is called a ​ ​ ​ (a)  

• dilation

• rotation

• reflection

• translation

If the scale factor is greater than 1, the dilation is (a)  

• an enlargement

• a rotation

• a translation

• a reduction

Which of the following scale factors would result in an enlargement of the original figure?

• 1

• 2

• -1

• A

• B

• C

• D

When the scale factor of a dilation is between 0 and 1, the dilation is a reduction (shrinks).

• True

• False

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

The vertices of △ ABC are located at A(4,8), B(8,0), and C(-8,4). Which sequence of transformations of △ ABC results in △ A′′B′′C′′?

• Rotate △ ABC 90° clockwise around the origin. Dilate the image by a scale factor of 4 with a center of dilation at the origin.

• Rotate △ ABC 90° counterclockwise around the origin. Dilate the image by a scale factor of 4 with a center of dilation at the origin.

• Rotate △ ABC 90° clockwise around the origin. Dilate the image by a scale factor of 1/4 with a center of dilation at the origin.

• Rotate △ ABC 90° counterclockwise around the origin. Dilate the image by a scale factor of 1/4 with a center of dilation at the origin.

Triangle EFG is drawn on the coordinate plane. The triangle is dilated by a scale factor of 1/3, with the center of dilation at the origin, to form triangle E'F'G'. Then, triangle E'F'G' is translated 3 units to the right to form triangle E''F''G''. What is the coordinate of E'' ?

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2