How many lines of symmetry does a star?

Question Video: Finding the Lines of Symmetry of a Two-Dimensional Figure Mathematics

How many lines of symmetry does a star?

How many lines of symmetry does this figure have?

Video Transcript

How many lines of symmetry does this figure have?

A figure has a line of symmetry if it can be folded over a line so that one half of the figure matches the other half. This fold line is called the line of symmetry.

Here we can see that if we would fold this star over the blue line, it would completely match. We will call this line number one. Here would be another line of symmetry, where if we’d folded the star over the second blue line — the line number two — it would completely match on both sides.

Now we have a third line so that one half of the figure matches the other half if we would fold it over that line number three. Here we have a fourth line. And then we have a fifth line of symmetry. Therefore, this figure has five lines of symmetry.

Line of Symmetry Practice

Question 1

This question is on finding the line of symmetry. How many of such lines does this five-pointed star have?

How many lines of symmetry does a star?

Answer

Select and check your answer...

Step by Step Solution

  • Step 1

    When we fold the star along this line, both sides of the star is symmetrical.

    How many lines of symmetry does a star?

  • Step 2

    Next, we observe the same thing when this star is folded along this line.

    How many lines of symmetry does a star?

  • Step 3

    Same observation here...

    How many lines of symmetry does a star?
    How many lines of symmetry does a star?

  • Step 4

    ..and here...

    How many lines of symmetry does a star?
    How many lines of symmetry does a star?

  • Step 5

    ... and finally, it is the same here as well..

    How many lines of symmetry does a star?
    How many lines of symmetry does a star?

  • Step 6

    From Step 1 to Step 5, we can see that this star has 5 lines of symmetry.

    Hence, the answer is C.

    How many lines of symmetry does a star?

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How many lines of symmetry does a star?
Susanne Nilsson/CC-BY-SA 2.0

The number of symmetry lines for a star depends on the particular types of star. A five-pointed star has five lines of symmetry. However, a six-pointed star has six lines of symmetry.

In math, a symmetry line refers to an imaginary line that one can fold an image or shape such that both halves match exactly. In a five-pointed star, there are five of these lines. One finds these symmetry lines by drawing a line that extends from the top of each of the five points to the opposite side. In each case, the two halves of the star formed are symmetrical.

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How many lines of symmetry does stars have?

Fold the star to show the lines of symmetry. There are five lines of symmetry on this shape.

What symmetry is a star?

Rotational Symmetry The point around which you rotate is called the center of rotation, and the smallest angle you need to turn is called the angle of rotation. This star has rotational symmetry of 72°, and the center of rotation is the center of the star.

Does a star have 4 lines of symmetry?

Hence the given Star have 4 line of symmetry.

How many lines of symmetry does a 12 sided star have?

Regular dodecagon It has twelve lines of reflective symmetry and rotational symmetry of order 12.