What is a rule that describes the reflection that mapstriangle EFG onto triangle E’F’G’?

What Is A Rule That Describes The Reflection That Mapstriangle EFG Onto Triangle EFG class=

Answer :

The formula for a reflection around a vertical line is given by the following expressions:

[tex]\begin{gathered} x^{\prime}=-x+2\cdot C \\ y^{\prime}=y \end{gathered}[/tex]

Where (x',y') are the new coordinates of the point and C is the coordinate of the vertical line. For this problem the vertical line is located in -2. So the rules are:

[tex]\begin{gathered} x^{\prime}=-x+2\cdot(-2)=-x-4 \\ y^{\prime}=y \end{gathered}[/tex][tex]\begin{gathered} F^{\prime}=\text{ -(-3)+2}\cdot(-2)=3-4=-1 \\ G^{\prime}=\text{ -(-5)+2}\cdot(-2)=5-4=1 \\ E^{\prime}=-(-4)+2\cdot(-2)=4-4=0 \end{gathered}[/tex]