Dilate Figures in the Coordinate Plane

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.

Finish the following similarity statement: Figure DEFGHI ∼ Figure ​ (a)  

• DEFGHI

• D'E'F'G'H'I'

• ABCDEF

• A'B'C'D'E'F'

Figures A, B, C, and D are drawn. The center of dilation is point E. Which of the following figures are similar to figure A? Choose all correct answers.

• Figure B

• Figure C

• Figure D

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'' ?

Match the terms with their definitions.

• A transformation that turns a figure around a point.

• Rotation

• A transformation that slides a figure.

• Dilation

• A transformation that flips a figure across a line.

• Reflection

• A transformation that makes a scale copy

• Translation

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Calculate the value of the scale factor between the 2 triangles

• 2.5

• 3

• 3.5

• 4

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