Question

reflect the figure over the line x = 5. plot all of the points of the reflected figure. you may click a plotted point to delete it.

Explanation:

Step1: Recall reflection formula

For a point $(x,y)$ reflected over the vertical line $x = a$, the new $x$-coordinate is $2a - x$ and the $y$-coordinate remains the same. Here $a = 5$.

Step2: Let's assume a point $(x_0,y_0)$ on the original figure

The reflected point $(x_1,y_1)$ has $x_1=2\times5 - x_0=10 - x_0$ and $y_1 = y_0$.

Step3: Apply to all points of the figure

For each vertex of the original figure, calculate the new $x$-coordinate using the formula $x'=10 - x$ (where $x$ is the original $x$-coordinate) and keep the $y$-coordinate the same. Then plot these new - points to get the reflected figure.

Answer:

Plot the new points obtained by using the transformation $(x,y)\to(10 - x,y)$ for each point of the original figure.