Translations and Reflections

What rule transforms the black figure into the blue figure?

• $\left(x\ ,\ y\right)\rightarrow\left(x-1\ ,\ y+3\right)$

• $\left(x\ ,\ y\right)\rightarrow\left(x+1\ ,\ y-3\right)$

• $\left(x,y\right)\rightarrow\left(x-3\ ,\ y+1\right)$

• $\left(x\ ,\ y\right)\rightarrow\left(x+3\ ,\ y-1\right)$

A reflection maps $\Delta ABC$  onto  $\Delta A'B'C'$  . What is the equation of the line of reflection?

•  $y=2$  

•  $x=2$  

•  $x=1$  

•  $y=1$  

What is the image of

 $\angle N$  ?

•  $\angle R$  

•  $\angle X$  

•  $\angle S$  

•  $\angle M$  

 $\overline{AB}$  has endpoints  $A\left(-2,5\right)$  and  $B\left(3,-1\right)$  . After a translation, the image of A has coordinates  $\left(-5,11\right)$  . What are the coordinates of the image of B?

•  $\left(6,-6\right)$  

•  $\left(6,5\right)$  

•  $\left(0,5\right)$  

•  $\left(-3,1\right)$  

A translation maps 

 $P\left(-4,12\right)$  onto  $P'\left(8,-30\right)$  . What is a rule for this translation?

•  $\left(x,y\right)\rightarrow\left(x-12,y+18\right)$  

•  $\left(x,y\right)\rightarrow\left(x-26,y-4\right)$  

•  $\left(x,y\right)\rightarrow\left(-2x,-3y+6\right)$  

•  $\left(x,y\right)\rightarrow\left(x+12,y-42\right)$  

What are the coordinates of the image of C after a reflection over the line  $y=-1$  ?

•  $\left(3,3\right)$  

•  $\left(3,-6\right)$  

•  $\left(-5,-4\right)$  

• ( $\left(-5,-6\right)$  

What side corresponds with

 $\overline{PN}$  ?

•  $\overline{TX}$  

•  $\overline{XS}$  

•  $\overline{RM}$  

•  $\overline{MS}$  

What rule maps the black figure onto the blue figure? (the black figure is the preimage)

• $\left(x\ ,\ y\right)\rightarrow\left(x+3\ ,\ y+4\right)$

• $\left(x\ ,\ y\right)\rightarrow\left(x+4\ ,\ y+3\right)$

• $\left(x\ ,\ y\right)\rightarrow\left(x-3\ ,\ y-4\right)$

• $\left(x\ ,\ y\right)\rightarrow\left(x-4\ ,\ y-3\right)$

A reflection maps $\overline{AB}$  onto  $\overline{A'B'}$  . What is the equation of the line of reflection?

•  $y=0$  

•  $x=0$  

•  $y=1$  

•  $x=1$  

 $\Delta ABC$  is reflected over the x-axis. If vertex A has coordinates  $\left(-3,5\right)$  , what are the coordinates of its image A'?

•  $\left(3,5\right)$  

•  $\left(-3,-5\right)$  

•  $\left(5,-3\right)$  

•  $\left(-5,3\right)$