Question

examine the polygon in the figure shown. identify a line of symmetry that will flip the figure onto itself.
(1 point)
○ x = 3
○ y = 3
○ x = 5
○ y = 5

Explanation:

Step1: Recall line - symmetry concept

A line of symmetry divides a figure into two congruent parts such that one part is the mirror - image of the other.

Step2: Analyze x - coordinates of points

The x - coordinate of point W is - 2 and of point A is 8. The mid - point of the horizontal line segment WA has x - coordinate $\frac{-2 + 8}{2}=3$. The x - coordinate of point D is - 2 and of point R is 8. The mid - point of the horizontal line segment DR has x - coordinate $\frac{-2+8}{2}=3$.

Step3: Determine the line of symmetry

The vertical line x = 3 will flip the rectangle formed by the points W, A, D, and R onto itself.

Answer:

x = 3