Congruent and Similar Figures on Coordinate Plane

Flipping a figures is a ...

• Rotation

• Reflection

• Dilation

• Translation

In a translation, the preimage and image are ___________.

• congruent

• similar

• different

• red

State the line of reflection.

• Reflection across y-axis

• Reflection across x-axis

• Reflection across x = 1

• Reflection across y = 1

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

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

• 2

• 3

• 1/3

• 1/2

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

• ½

• ¼

• 4

• 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)

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.