Rotation Symmetry Practice - Tetrahedron

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Question 2
Draw out all the axes of rotational symmetry for a tetrahedron. What is the total number of axes?
tetrahedron

Answer

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A. 5
B. 7
C. 9
D. 11
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Step by Step Solution 

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Step 1
1st axis of rotational symmetry        This is the 1st axis...
                Order 3
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Step 2
2nd axis of rotational symmetry            ...the 2nd axis...
                 Order 3
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Step 3
3rd axis of rotational symmetry            ...the 3rd axis...
                 Order 3
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Step 4
4th axis of rotational symmetry             ...the 4th axis...
                  Order 3
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Step 5
5th axis of rotational symmetry            ...the 5th axis...
                  Order 2
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Step 6
6th axis of rotational symmetry             ...the 6th axis...
                   Order 2
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Step 7
7th axis of rotational symmetry            ...the 7th axis...
                  Order 2
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Step 8
all 7 axes for a tetrahedron
In total, there are 7 axis of rotational symmetry for a tetrahedron.

Clearly, the answer is B.
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