SAT Conceptual Geometry
How many lines of symmetry does the above figure have?
(A)
Three
(B)
Five
(C)
Six
(D)
Twelve
(E)
Infinitely many
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1 solution
Correct Answer: C
Solution:
The circle has infinitely many lines of symmetry. But the figure isn't just a circle. The hexagon has 6 lines of symmetry, as shown above, and hence the figure is limited to those 6 lines of symmetry.
Incorrect Choices:
(A)
If you thought that the only lines of symmetry connected opposing vertices of the hexagon, you will get this wrong answer.
(B)
If you miscount, or if you think the hexagon is a pentagon, you may get this wrong answer.
(D)
If you count the tips of each line of symmetry, you will count each line twice.
(E)
This is how many lines of symmetry a circle has. But the figure above is limited by the hexagon.