1. The problem asks: How many lines of symmetry does the given zigzag figure have? 2. A line of symmetry divides a figure into two mirror-image halves. 3. The figure consists of four squares arranged diagonally with two purple squares at opposite corners and two yellow right triangles forming a zigzag step shape in the center. 4. To find lines of symmetry, consider vertical, horizontal, and diagonal lines through the figure. 5. Because the figure is asymmetrical in color placement and shape arrangement, it does not have vertical or horizontal symmetry. 6. Diagonal symmetry is also not present because the colors and shapes do not mirror across any diagonal. 7. Therefore, the figure has 0 lines of symmetry. Final answer: The figure has **0** lines of symmetry.