Scale Factor on Coordinate Plane

Which rule represents the dilation?

After a dilation the coordinates of D' are (3, 2). What is the dilation rule?

After a dilation, the coordinates of C' are 3, -6. What is the dilation rule?

A trapezoid on a coordinate grid is dilated to create a larger trapezoid. Which rule could represent this dilation?

Figure DMPN is dilated to form figure D'M'P'N. What is the scale factor?

• 2

• 3

• 1/3

• 1/2

Triangle ABC is dilated using a scale factor of 1/2. The center of dilation is at the origin. What are the new coordinates of point A'?

• (-3, 3)

• (-12, 12)

• (-2, 2)

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

• True

• False

Point B (-10,-6) is dilated with a scale factor of 1/2 and the center of dilation at the origin. What are the coordinated of B'?

• (5,3)

• (20,12)

• (-20,-12)

• (-5,-3)

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.