### Home > INT1 > Chapter 4 > Lesson 4.1.2 > Problem4-21

4-21.

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?

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?

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

Use the eTool below to transform the triangle for each part.
Click the link to the right to view full version: Int1 4-21 HW eTool.