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.

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

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
  

What is the scale factor of the dilation?

• k = 1

• k = 1/2

• k = 2

• k = 3

• A

• B

• C

• D

Rectangle A'B'C'D' is similar to rectangle ABCD, as shown on the coordinate plane below. Which sequence of transformations maps rectangle ABCD onto rectangle A'B'C'D'?

• a translation 8 units to the left, then a dilation by a scale factor of 1/2 with a center of dilation at the origin

• a reflection over the y-axis, then a dilation by a scale factor of 1/2 with a center of dilation at the origin

Which describes a possible sequence of transformations that takes polygon GHJK to polygon G'H'J'K' ?

• a 180-degree rotation, followed by a dilation centered at the origin with scale factor of 1/2

• a reflection across the line y=x, followed by a dilation centered at the origin with a scale factor of 2

• a reflection across the y-axis, followed by a reflection across the x-axis, followed by a dilation with scale factor 2

• a reflection across the y-axis, followed by a translation down 10 units, followed by a dilation centered at the origin with a scale factor of 1/2

Translate 1 unit down and reflect across the x-axis.

• 
• 
• 
• 

What sequence of transformations will get you from triangle ABC to its image triangle A'B'C'?

• Reflection, then Translation

• Rotation, then Dilation

• Reflection, then Rotation

• Dilation, then Reflection