Unit 4 Transformations Practice Test

Use a translation rule to describe the translation that is 6 units to the left and 3 units up.

• $\left(x,y\right)\rightarrow\left(x+6,y-3\right)$

• $\left(x,y\right)\rightarrow\left(x-6,\ y+3\right)$

• $\left(x,y\right)\rightarrow\left(x+6,\ y+3\right)$

• $\left(x,y\right)\rightarrow\left(x-6,y-3\right)$

What image is the translation of $\Delta ABC$  given by the translation rule  $\left(x,y\right)\rightarrow\left(x-3,y+5\right)$  

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Which graph shows a triangle and its reflection across the y-axis?

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The vertices of a triangle are $P\left(-6,4\right)$  ,  $Q\left(-5,-2\right)$  ,  $R\left(-2,-2\right)$  .  Name the vertices of the image reflected across the x-axis.

•  $P'\left(-6,4\right)$  , $Q'\left(-5,-2\right)$  , $R'\left(-2,-2\right)$  

•  $P'\left(6,4\right)$  , $Q'\left(5,-2\right)$  , $R'\left(2,-2\right)$  

•  $P'\left(-6,-4\right)$  , $Q'\left(-5,2\right)$  , $R'\left(-2,2\right)$  

•  $P'\left(6,-4\right)$  , $Q'\left(5,2\right)$  , $R'\left(2,2\right)$  

The vertices of a triangle are $P\left(7,5\right)$  , $Q\left(-1,-1\right)$  , and $R\left(-5,-5\right)$  .  Name the vertices of the image reflected in the y-axis.

•  $P'\left(-7,5\right)$  ,  $Q'\left(1,-1\right)$  , $R'\left(5,5\right)$  

•  $P'\left(-7,-5\right)$  , $Q'\left(1,1\right)$  , $R'\left(5,-5\right)$  

•  $P'\left(7,5\right)$  , $Q'\left(-1,-1\right)$  , $R'\left(-5,5\right)$  

•  $P'\left(7,-5\right)$  , $Q'\left(-1,1\right)$  , $R'\left(-5,-5\right)$  

What are the coordinates of C' if square ABCD is rotated 90º clockwise about the origin?

• (-3,3)

• (3,-3)

• (3,0)

• (3,3)

Which statement describes the transformation shown below?

• Translation with the rule $\left(x,y\right)\rightarrow\left(x+2,y\right)$ .

• Dilation with the center at the origin and a scale factor of 2.

• Translation with the rule $\left(x,y\right)\rightarrow\left(x+4,y-2\right)$ .

• Dilation with the center at the origin and a scale factor of $\frac{1}{2}$ .

• Translation with the rule $\left(x,y\right)\rightarrow\left(x+2,y+2\right)$ .

Which statement describes the transformation shown below?

• Translation with the rule $\left(x,y\right)\rightarrow\left(x+2,y+4\right)$ .

• Dilation with the center at the origin and a scale factor of 3.

• Translation with the rule $\left(x,y\right)\rightarrow\left(x+6,y+6\right)$ .

• Dilation with the center at the origin and a scale factor of $\frac{1}{3}$ .

• Translation with the rule $\left(x,y\right)\leftarrow\left(x+8,y-2\right)$ .

 $\Delta ABC$  is shown.  What are the coordinates of B' when  $\Delta ABC$  is dilated with a scale factor of 2 with the center of dilation at the origin?

• (3,3)

• (1,2)

• (2,2)

• (1/2,1/2)

Which statement describes the compound transformation shown below?

• Reflection across the x-axis.
  Translation with the rule $\left(x,y\right)\rightarrow\left(x+4,y+6\right)$ .

• Reflection across the x-axis.
  Translation with the rule $\left(x,y\right)\rightarrow\left(x-4,y-6\right)$ .

• Dilation with the center at the origin and a scale factor of 2.
  Reflection across the x-axis.

• Dilation with the center at the origin and a scale factor of $\frac{1}{2}$ .
  Rotation of 180º around the origin.

• Dilation with the center at the origin and a scale factor of $\frac{1}{2}$ .
  Reflection across the x-axis.