Question

reflect the figure over the line x = 1. 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 line $x = a$, the new - x - coordinate is $x'=2a - x$ and the y - coordinate remains the same, i.e., $y'=y$. Here $a = 1$.

Step2: Assume point coordinates

Let's assume the vertices of the given figure are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$. For a point $(x,y)$:
The new x - coordinate $x_{new}=2\times1 - x=2 - x$, and $y_{new}=y$.
For example, if a point is $(3,-1)$, then its reflection over $x = 1$:
$x_{new}=2 - 3=-1$, $y_{new}=-1$. So the reflected point is $(-1,-1)$. Calculate the reflected points for all vertices of the figure in the same way.

Since the original figure's vertices are not given numerically, the general method for reflection over the line $x = 1$ for a point $(x,y)$ is to get the new point $(2 - x,y)$. Plot these new points to get the reflected figure.

Answer:

To reflect the figure, for each point $(x,y)$ of the original figure, find the new point $(2 - x,y)$ and plot them.