Question

1 for each 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 first figure (Yin - Yang symbol)

If we try to find a line that divides the Yin - Yang symbol into two congruent parts, we see that there is no such line. Because of the dots and the way the black and white regions are shaped, no line will make the two halves mirror - images of each other.

Step3: Analyze the second figure (Scottish flag - like figure)

This figure has 2 lines of symmetry. One is the vertical line passing through the center of the figure and the other is the horizontal line passing through the center of the figure. When folded along these lines, the two parts of the figure will match exactly.

Step4: Analyze the third figure (cartoon - like figure)

There is no line of symmetry. The figure is asymmetrical in shape. No line can divide it into two congruent parts.

Answer:

The first figure has no lines of symmetry. The second figure has 2 lines of symmetry (a vertical and a horizontal line through its center). The third figure has no lines of symmetry.