Geometry/Honors Geom. (ESmith)
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10-3 Practice: Rotational Symmetry
1. How many lines of symmetry does each triangle have?
a.
b.
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c.
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For each figure below, decide if it has rotational symmetry. If so, state the angle(s) of rotation that
map the figure onto itself.
2.
3.
4.
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5. a. How many lines of symmetry does a regular hexagon have?
Draw all the lines of symmetry.
b. Draw the center. What are the angles of the rotations that
map the regular hexagon onto itself?
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6. Do all regular polygons have rotational symmetry? Explain.
7. Do all regular polygons have point symmetry? Explain.
For 8-11, use the description to draw a figure. If not possible, write not possible.
8. A quadrilateral with no line of symmetry
9. An octagon with exactly two lines of symmetry
10. A hexagon with no point symmetry
11. A trapezoid with rotational symmetry
12-15. Draw and Name the solid of revolution obtained by revolving each region about line 𝒎.
12.
13.
𝑚
𝑚
14.
15.
𝑚
𝑚
For 16-18, tell whether each 3-dimensional object has reflectional symmetry in a plane, rotational
symmetry about a line or both. Draw and describe the location of at least one plane and/or line of
symmetry.
16.
17.
18.
19. Does the paper airplane have reflectional symmetry in a plane, rotational symmetry about a line, or
both? Describe the location of one plane and/or line of symmetry.