2D Rotational Symmetry Practice
Question 1
Which of the following figures have 2D
rotational symmetry with their order of symmetry correctly
labeled?
I
Order 1
Order 1
II
Order 2
Order 2
III
Order 6
Order 6
IV
Order 5
Order 5
Answer
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Step by Step Solution
Step 1
When we rotate this shape for 360o, we will realize that it only fits onto itself once.
Hence, this shape has order of symmetry of 1 but has no rotational symmetry.
Hence, this shape has order of symmetry of 1 but has no rotational symmetry.
Step 2
When we rotate this shape for 360o, we will see that it fits onto itself twice.
Therefore, this shape has rotational symmetry and rotational symmetry of order 2.
Therefore, this shape has rotational symmetry and rotational symmetry of order 2.
Step 3
When we rotate this shape for 360o, we will see that fits onto itself 6 times.
Therefore, this shape has rotational symmetry and rotational symmetry of order 6.
Therefore, this shape has rotational symmetry and rotational symmetry of order 6.
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.
Hence, this shape has symmetry of order 1 but has no rotational symmetry.
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.
To close all the steps, 2D rotational symmetry
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