Question

part b. draw the figure and its reflection in the line x = 1.

Explanation:

Step1: Recall reflection rule

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: Identify points on the figure

Let's assume we have a point $P(x_1,y_1)$ on the original figure. After reflection over the line $x = 1$, the new point $P'(x_2,y_2)$ has $x_2=2\times1 - x_1=2 - x_1$ and $y_2 = y_1$.

Step3: Plot the original and reflected points

Plot the original points of the figure and then use the above - derived coordinates to plot their reflected counterparts over the line $x = 1$. Connect the reflected points to form the reflected figure.

Answer:

You need to use a graphing tool to perform the above - mentioned steps of finding the reflected points and drawing the figure and its reflection. For example, if you have a point $(x,y)$ on the original figure, calculate the reflected point $(2 - x,y)$ and plot both the original and the reflected point. Repeat for all points of the figure and connect the reflected points to get the reflected figure.