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What are the numbers of symmetries for this figure?
Enter your answers in the boxes.

Number of rotational symmetries: __

Number of lines of reflectional symmetry: __

What Are The Numbers Of Symmetries For This Figure Enter Your Answers In The Boxes Number Of Rotational Symmetries Number Of Lines Of Reflectional Symmetry class=

Sagot :

Answer:

rotational symmetry: 2

reflectional symmetry: 0

Step-by-step explanation:

I took the test

You can use the fact that there are 5 vertex and all sides are congruent.


Number of rotational symmetries = 2

Number of lines of reflectional symmetry = 0

What is rotational symmetry?

When a figure is rotated by some angle from some fixed point in the figure, if the figure ends up with exact same shape(congruent), then that figure has rotational symmetry for that angle with respect to that fixed point.

What is reflectional symmetry?

If we reflect the figure with respect to a fixed line, then if the figure is same as previous, then that figure is said to have reflectional symmetry.

Using above definitions to find the number of rotational and reflectional symmetries for given diagram of S

Counting rotational symmetries:

firstly, it itself is symmetric(360 degrees rotation),

then if we rotate the figure with 180 degrees, the lower part comes up and upper part goes down and we obtain exact congruent figure.

Thus, there are two rotational symmetries.

Counting reflectional symmetries:

Since no line can be drawn such that reflecting the given figure upon that axis gives us symmetric figure, we have 0 reflectional symmetry.

Thus,
Number of rotational symmetries = 2

Number of lines of reflectional symmetry = 0

Learn more about reflectional and rotational symmetry:

https://brainly.com/question/7783612

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