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: Identify original points

Let's assume the original points of the polygon are $(3,4)$, $(4,9)$, $(6,6)$, $(4,4)$.

Step3: Apply reflection formula

For point $(3,4)$: $x = 3$, $y = 4$, new $y=2\times2 - 4=0$, new point is $(3,0)$.
For point $(4,9)$: $x = 4$, $y = 9$, new $y=2\times2 - 9=- 5$, new point is $(4,-5)$.
For point $(6,6)$: $x = 6$, $y = 6$, new $y=2\times2 - 6=-2$, new point is $(6,-2)$.
For point $(4,4)$: $x = 4$, $y = 4$, new $y=2\times2 - 4 = 0$, new point is $(4,0)$.

Answer:

Plot the points $(3,0)$, $(4,-5)$, $(6,-2)$, $(4,0)$ to form the reflected figure.