Sequence of Transformations Dilations

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.

Rectangle ABCD is undergoing a series of transformations. Which of the following transformations will NOT cause the resulting rectangle  to maintain congruence with rectangle ABCD? 

• Translation 3 units left, then translation 7 units down. 
  
• Dilation by a scale factor of 3, then dilation by a scale factor of 3.
• Dilation by a scale factor of 2, then dilation by a scale factor of 1/2.
• Translation 4 units right, then translation 6 units up. 

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
  

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
  

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

Which of the following describes the sequence of transformations shown?

• Reflect across the x-axis and then rotate -90 degrees cw around the origin

• Rotate 90 degrees cw around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees ccw about the origin.

Which is an Example of a dilation

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Identify the transformation from ABCD to its image A'B'C'D'.

• Translation

• Reflection across the y-axis

• Reflection across the x-axis

• Rotation

The image A'B'C' is a rotation of ABC.

• True
• False

Identify the transformation from ABCD to its image A'B'C'D'.

• Translation

• Rotation

• Reflection