Question

practice 4 (from unit 1. lesson 15)
here is a figure.
identify any lines of symmetry the figure has.

Explanation:

Step1: Recall the definition of line of symmetry

A line of symmetry is a line that divides a figure into two congruent parts such that when the figure is folded along the line, the two parts match exactly.

Step2: Analyze the given figure

Looking at the figure, we can observe that the horizontal line (the \(x -\)axis in the coordinate - like system of the figure) and the vertical line (the \(y -\)axis in the coordinate - like system of the figure) divide the figure into two congruent parts. When we consider the horizontal line, the upper half of the figure (with respect to this line) is a mirror - image of the lower half. Similarly, for the vertical line, the left half of the figure is a mirror - image of the right half.

Answer:

The figure has a horizontal line of symmetry and a vertical line of symmetry.