Question

what is the total number of lines of symmetry for this figure? x a. 0 b. 1 c. 2 d. 4

Explanation:

Step1: Understand line of symmetry

A line of symmetry is a line that divides a figure into two mirror - image halves.

Step2: Analyze the figure "X"

For the given "X" - shaped figure, we can find the lines of symmetry. One line of symmetry is the vertical line that passes through the center of the "X", dividing it into two left - right mirror - image parts. Another line of symmetry is the horizontal line that passes through the center of the "X", dividing it into two top - bottom mirror - image parts. Also, there are two diagonal lines of symmetry. The two diagonal lines (one going from the top - left to the bottom - right and the other going from the top - right to the bottom - left) also divide the "X" into two mirror - image halves. So in total, there are 4 lines of symmetry.

Answer:

D. 4