Dilating 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.

Figures A and B are similar.  Which transformation of figure A shows that A and B are similar?

• Translation 3 units up

• Translation 3 units down

• Dilation by a scale factor of 3

• Dilation by a scale factor of 1/3

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)

Squares K and P are similar. Which series of transformations of square K show that K and P are similar?

• Rotation 90 degree, then dilation by a scale factor of 0.5.
  

• Rotation 45 degree, then dilation by a scale factor of 0.5.

• Reflection over a vertical axis, then dilation by a scale factor of 0.5.

• Reflection over a horizontal axis, then dilation by a scale factor of 0.5
  

• F

• G

• H

• J

Is the following a dilation?

• Yes

• No

Figures ABC and DEF are similar.  Which series of transformations of figure ABC shows that ABC and DEF are Similar? 

• 90 degree clockwise rotation, then dilation by a scale factor of ¾
  

• 90 degree counterclockwise rotation, then dilation by a scale factor of ¾
  

• Reflection across a vertical line, then dilation by a scale factor of ¾

• Reflection across a horizontal line, then dilation by a scale factor of ¾
  

Which rule shows the transformation?

• (x, y) ----> (0.5x, 0.5y)

• (x, y) ----> ( 2 + x, 2 + y)

• (x, y) -----> (2x, 2y)

• (x, y) -----> (3x, 3y)

Which is an Example of a dilation

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