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

The reflected point $(x_1,y_1)$ has $x_1=2\times1 - x_0=2 - x_0$ and $y_1 = y_0$.

Step3: Apply to all vertices of the figure

For each vertex of the given polygon, calculate the new $x$ - coordinate using $x'=2 - x$ and keep the $y$ - coordinate the same. Then plot these new points to get the reflected figure.

Since no specific coordinates of the vertices are given, the general method for reflection over the line $x = 1$ is as above. To actually plot the reflected figure, if the vertices of the original figure are $(x_1,y_1),(x_2,y_2),\cdots,(x_n,y_n)$, the reflected vertices will be $(2 - x_1,y_1),(2 - x_2,y_2),\cdots,(2 - x_n,y_n)$.

Answer:

To plot the reflected figure, for each vertex $(x,y)$ of the original figure, find the new vertex $(2 - x,y)$ and plot these new vertices.