Problem 1-98. The diagram at the regular if all sides are equal and al a. Draw the result of rotating the happens, the shape has rotation b. What is the result when the origi shape with this quality is said to of the hexagon (not of the reflec c. Does a regular hexagon have an you could fold across so that bo

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Joo
Problem 1-98. The diagram at the right is a regular hexagon with center C. A polygon is
regular if all sides are equal and all angles are equal.
a. Draw the result of rotating the hexagon about its center 180°. Explain what happened. When this
happens, the shape has rotation symmetry.
b. What is the result when the original hexagon is reflected across line n, as shown at right? A
shape with this quality is said to have reflection symmetry and line n is a line of symmetry
of the hexagon (not of the reflection).
c. Does a regular hexagon have any other lines of symmetry? That is, are there any other lines
you could fold across so that both halves of the hexagon will match up? Find as many as you can.
Transcribed Image Text:Joo Problem 1-98. The diagram at the right is a regular hexagon with center C. A polygon is regular if all sides are equal and all angles are equal. a. Draw the result of rotating the hexagon about its center 180°. Explain what happened. When this happens, the shape has rotation symmetry. b. What is the result when the original hexagon is reflected across line n, as shown at right? A shape with this quality is said to have reflection symmetry and line n is a line of symmetry of the hexagon (not of the reflection). c. Does a regular hexagon have any other lines of symmetry? That is, are there any other lines you could fold across so that both halves of the hexagon will match up? Find as many as you can.
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