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. answer attempt 1 out of 2

Explanation:

Step1: Recall reflection formula

For a point $(x,y)$ reflected over the line $x = a$, the new - $x$ coordinate is $2a - x$ and the $y$ - coordinate remains the same. Here $a = 1$.

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

The reflected point will be $(2\times1 - x,y)=(2 - x,y)$.

Step3: Apply to each vertex of the figure

For example, if a vertex of the original figure is $(x_1,y_1)$, its reflection over the line $x = 1$ is $(2 - x_1,y_1)$. Repeat this process for all vertices of the given polygon to get the vertices of the reflected figure and then plot them on the coordinate - plane.

Answer:

Plot the points obtained by using the rule $(x,y)\to(2 - x,y)$ for each vertex of the original figure.