Question

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

Answer 1

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

`\begin{gathered} x^(\prime)=-x+2\cdot C \\ y^(\prime)=y \end{gathered}`

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:

`\begin{gathered} x^(\prime)=-x+2\cdot(-2)=-x-4 \\ y^(\prime)=y \end{gathered}`
`\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}`