Question

reflect the figure over the line y = 2. 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 horizontal line $y = k$, the new - point is $(x,2k - y)$. Here $k = 2$.

Step2: Let's assume a point $(x,y)$ on the original figure

The reflected point will be $(x,4 - y)$. For example, if we have a point $(3,4)$ on the original figure, its reflection over the line $y = 2$ is $(3,4-(4 - 2))=(3,0)$. We need to do this for all vertices of the given polygon.

Answer:

To plot the reflected figure, find the new $y$ - coordinates of all vertices of the original figure using the rule $(x,y)\to(x,4 - y)$ and then plot these new points. The $x$ - coordinates of the reflected points remain the same as those of the original points, and the $y$ - coordinates are calculated as $4 - y$ (where $y$ is the $y$ - coordinate of the original point).