Question

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

Explanation:

Step1: Recall Line of Symmetry

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

Step2: Analyze the Figure

• Check vertical line: If we draw a vertical line through the center of the figure, the left and right halves are mirror images.
• Check horizontal line: If we draw a horizontal line through the center of the figure, the top and bottom halves are mirror images.
• Are there more? Let's see, the figure is symmetric only about one vertical and one horizontal line? Wait, no, wait. Wait, the figure: let's look at the shape. The given figure, when we check for lines of symmetry:
• Vertical line: Passing through the middle vertical axis, the left and right parts are congruent and mirror - image.
• Horizontal line: Passing through the middle horizontal axis, the top and bottom parts are congruent and mirror - image. Wait, no, wait the options are 0,1,2,4. Wait, maybe I made a mistake. Wait, let's re - examine. Wait the figure: let's count. Wait, the figure is like a cross - like shape but with a central bar. Wait, actually, the figure has two lines of symmetry: one vertical and one horizontal. Wait, but let's check again. Wait, the options are A.0, B.1, C.2, D.4. Wait, maybe the figure is symmetric about one vertical line? No, wait, no. Wait, let's think again. Wait, the figure: if we draw a vertical line through the center, the left and right are mirror images. If we draw a horizontal line through the center, the top and bottom are mirror images? Wait, no, maybe the figure is symmetric only about one line? Wait, no, let's look at the shape. The given figure: let's visualize. The figure has a vertical line of symmetry (dividing it into left and right equal parts) and a horizontal line of symmetry (dividing it into top and bottom equal parts)? Wait, no, maybe not. Wait, maybe the figure is symmetric about one vertical line. Wait, no, the options include 2. Wait, perhaps the correct number of lines of symmetry is 2. Wait, let's check the figure again. The figure is a symmetric shape with two lines of symmetry: one vertical and one horizontal. So the number of lines of symmetry is 2.

Answer:

C. 2