Question

select the correct answer.
how many lines of symmetry does the figure have?
figure
options: 1, 0, 2, 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 Given Figure

The given figure is made up of two triangles forming a sort of symmetric shape. Let's check the possible lines of symmetry.

• A vertical line passing through the intersection point of the two diagonals (the middle vertical line) will divide the figure into two mirror - image halves.
• A horizontal line passing through the intersection point of the two diagonals (the middle horizontal line) will also divide the figure into two mirror - image halves.

Wait, no, actually, looking at the figure (two triangles with a common vertex at the intersection of their diagonals, and the outer sides are vertical? Wait, no, re - examining: the figure is like two congruent triangles, with their bases (the non - intersecting sides) being vertical and parallel, and the two triangles are symmetric with respect to a vertical line and also with respect to a horizontal line? Wait, no, let's think again. The figure is symmetric about a vertical line (the line that passes through the top and bottom "mid - points" of the two vertical sides) and also symmetric about a horizontal line (the line that passes through the left and right "mid - points" of the two triangles' other sides). Wait, actually, the figure has two lines of symmetry: one vertical and one horizontal. Wait, no, let's visualize the figure. The figure is composed of two triangles that are mirror images over a vertical line and also over a horizontal line? Wait, no, the correct way: the figure is a quadrilateral? No, it's two triangles intersecting at their vertices. Wait, the two triangles are congruent, and the figure is symmetric with respect to a vertical line (the line that splits the two vertical sides equally) and a horizontal line (the line that splits the two "top" and "bottom" vertices). Wait, actually, the figure has 2 lines of symmetry. Wait, no, let's take an example: if you draw a vertical line through the center (the intersection of the two diagonals), the left and right parts are mirror images. If you draw a horizontal line through the center, the top and bottom parts are mirror images? Wait, no, maybe I made a mistake. Wait, the figure is like two triangles, each with a vertical side (the left and right sides) and the two triangles are connected at the middle (the intersection of the diagonals). So, the vertical line through the middle will reflect the left triangle to the right triangle and vice - versa. Also, a horizontal line through the middle will reflect the top part to the bottom part? Wait, no, the top vertices are on the top, and the bottom vertices are on the bottom. Wait, maybe the figure has 2 lines of symmetry. Wait, let's count again. The figure is symmetric about a vertical line (passing through the intersection of the diagonals) and a horizontal line (passing through the intersection of the diagonals). So, total of 2 lines of symmetry.

Answer:

2 (corresponding to the option with 2)