How many lines of symmetry does a regular hexagon have?
Think | Write |
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Sketch a regular hexagon. PlanHow can you see the lines of symmetry? Draw a diagram of a regular hexagon and look for the ways it will reflect across a line onto itself. |
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The hexagon reflects onto itself across each line that passes through the midpoints of a pair of parallel sides. | |
The hexagon also reflects onto itself across each diagonal that passes through the center of the hexagon. | |
Count the lines of symmetry. | A regular hexagon has six lines of symmetry. |
Does the figure have rotational symmetry? If so, what is the angle of rotation?
How do you identify rotational symmetry?
Look for a possible center point. Think about the angles formed by joining preimage-image pairs to the center. All these angles must be congruent for the figure to have rotational symmetry.
There is no center point about which the triangle will rotate onto itself. This figure does not have rotational symmetry.
The star has rotational symmetry. The angle of rotation is
Does the figure below have rotational symmetry? If so, what is the angle of rotation?