Question

complete the equations identifying both lines of reflection that will flip the given figure onto itself. (2 points) the lines of reflection are x = and y = 3 2 -1 1 -3 0 -2

Explanation:

Step1: Identify figure type

Assume the figure is a rectangle with vertices A, B, C, D.

Step2: Find vertical reflection line

Left and right sides are vertical; midpoint of their x-coordinates is the vertical line. Estimated x-coordinates: left=-4, right=6. Midpoint: $\frac{-4+6}{2}=1$. So $x=1$.

Step3: Find horizontal reflection line

Top and bottom sides are horizontal; midpoint of their y-coordinates is the horizontal line. Estimated y-coordinates: top=3, bottom=-3. Midpoint: $\frac{3+(-3)}{2}=0$. So $y=0$.

Answer:

The lines of reflection are x = 1 and y = 0