Plot $ΔABC$ on graph paper with points $A(2,2)$, $B(-2,-2)$, and $C(8,-2)$.   

1. Use the function $(x, y) \rightarrow (-1x, -1y)$ to transform $ΔABC$. Graph and connect the new points then label this triangle $ΔA'B'C'$. Describe how $ΔABC$ has been transformed. What, if anything, about the original triangle has been preserved in its image?

   Hint (a):

   Is $ΔA'B'C'$ the same or different sized than $ΔABC$?
   Is $ΔA'B'C'$ a reflection of $ΔABC$?
   Is it a rotation?

2. Now use the function $(x,y)→(-2x,-2y)$ to transform the original $ΔABC$ to create $ΔA^″B^″C^″$. Has $ΔABC$ undergone a rigid transformation to create $ΔA''B''C''$? What, if anything, about the original triangle has been preserved in its image?

• Hint (b):

  Remember that this transformation is applied to the original $ΔABC$.