WEBVTT
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True or false?
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Any figure that has rotational symmetry must also have line symmetry.
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We need to consider rotational symmetry and line symmetry.
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If a shape looks the same after some rotation, it has rotational symmetry.
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If one-half of the image is a reflection of the other half, it has line symmetry.
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This sideways S has rotational symmetry.
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If you held it down at that pink dot and spun this S 180 degrees, the shape would look the same.
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We need to consider if this shape could have line symmetry.
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If you folded the S in half here, the shape would not be the same on both sides.
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If we folded it in half, lengthwise, it would still not be the same shape on both sides.
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This S shape does not have line symmetry.
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And that means the statement “any figure that has rotational symmetry must also have line symmetry” is false.