Dilations Around the Origin

• The figure's area becomes four times larger.

• The figure's area becomes twice as large.

• The figure's area is reduced to one-fourth.

• The figure's area is reduced to one-half.

If the coordinates of a point after dilation are (-6, 9) and the scale factor was 3, what were the original coordinates of the point?

• (-2, 3)

• (2, -3)

• (-18, 27)

• (18, -27)

Is the following a dilation?

• Yes

• No

• 32 units

• 2 units

• 8 units

• 4 units

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

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'' ?

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 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.