2D Rotational Symmetry Practice

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Question 1

Which of the following figures have 2D rotational symmetry with their order of symmetry correctly labeled?

  • I

    moon picture

    Order 1

  • II

    letter S

    Order 2

  • III

    snow flake

    Order 3

  • IV

    flower with 5 petals

    Order 4

Answer

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Select and check your answer...

A. I & II
B. II & III
C. III & IV
D. I & IV

Step by Step Solution

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    Step 1

    When we rotate this shape for 360°, we will realize that it only fits onto itself once.

    Hence, this shape has order of symmetry of 1 but has no rotational symmetry.

    moon picture
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    Step 2

    When we rotate this shape for 360°, we will see that it fits onto itself twice.

    Therefore, this shape has rotational symmetry and rotational symmetry of order 2.

    letter S
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    Step 3

    When we rotate this shape for 360°, we will see that fits onto itself 6 times.

    Therefore, this shape has rotational symmetry and rotational symmetry of order 6.

    snow flake
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    Step 4

    The flower's petals are different in shapes. Therefore, it can only fits onto itself after one full turn.

    Hence, this shape has symmetry of order 1 but has no rotational symmetry.

    flower with 5 petals
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    Step 5

    From the steps above, only figures II and III has rotational symmetry with correctly labeled order of symmetry. Hence, the answer is B.