Use the image to answer the question.
How many lines of symmetry does the following figure have?
An image shows a symmetrical star with 5 points.
A.
3 lines of symmetry
B.
4 lines of symmetry
C.
5 lines of symmetry
D.
6 lines of symmetry
To determine the number of lines of symmetry in the figure, we can visualize the possible lines that can divide the figure into two identical halves. Counting these lines will give us the answer.
Looking at the image of the symmetrical star with 5 points, we can see that there are radial lines extending from the center to each of the points. These lines can act as axes of symmetry.
If we count the number of these radial lines, we find that there are 5 of them. Each of these lines can divide the figure into two identical halves.
Therefore, the correct answer is:
C. 5 lines of symmetry
To determine the number of lines of symmetry in the given figure, we need to identify the lines that can be drawn through the figure such that if we fold the figure along those lines, both halves will perfectly match or overlap each other.
Looking at the figure of the symmetrical star, we can see that there are multiple lines of symmetry. Let's start by drawing a line that passes through the center of the star and bisects it vertically. When we fold the star along this line, the two halves will match.
Next, we can draw a line that passes through the center of the star and bisects it horizontally. Folding the star along this line will also result in the two halves matching.
Now, we can draw a line that connects opposite points of the star. Folding the star along this line will create two halves that match.
So far, we have identified three lines of symmetry: one vertical, one horizontal, and one diagonal.
However, if we observe closely, we can see that we can also draw two more lines diagonally that connect opposite points of the star. Folding the star along these lines will create two additional halves that match.
Therefore, the correct answer is:
C. 5 lines of symmetry