Question

reflect the figure over the line y = -1. plot all of the points of the reflected figure. you may click a plotted point to delete it.

Explanation:

Step1: Recall reflection rule

For a point $(x,y)$ reflected over the line $y = k$, the new - y - coordinate is $y'=2k - y$ and the x - coordinate remains the same, i.e., $x'=x$. Here $k=-1$.

Step2: Apply rule to each point

Let the original point be $(x,y)$. The reflected point $(x',y')$ has $x' = x$ and $y'=2\times(-1)-y=-2 - y$. For each vertex of the given polygon, calculate the new y - coordinate using this formula while keeping the x - coordinate the same.

Answer:

Plot the new points obtained by applying the reflection rule $x' = x,y'=-2 - y$ for each vertex of the original polygon on the coordinate - plane.