Dilating Figures to Create Similar Figures

Which of the statements is true about the graphed triangles?

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.

• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?

• A'(9,9) B'(18,18) C'(27,9)

• A'(6,6) B'(9,9) C'(12,6)

• A'(0,0) B'(3,3) C'(6,0)

• A'(1,1) B'(2,2) C'(3,1)

Which transformation(s) create(s) similar figures?

• Dilation

• Translation, Reflection, and Rotation

• Translation and Reflection

• Reflection and Rotation

What scale factor was used to produce the image?

• 2

• 3

• 1/3

• 1/2

A dilation always produces a similar figure. Similar figures have the same ______ but different ______. 

• measure; shapes

• sizes; shapes

• value; measures

• shape; sizes

A dilation produces a similar figure

• True

• False

Which of the following transformations results in SIMILAR (not congruent) figures?

• translation

• reflection

• rotation

• dilation

• F

• G

• H

• J

 A dilation can produce a larger figure or a(n)______

• reduction

• enlargement

• scale factor

• center of dilation

Dilate the rectangle by a factor of 2.

• (6,6)

• C'

• (4,8)

• B'

• (0,4)

• D'

• (2,2)

• A'