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PreAP Geometry – Lesson 9-4 Day 2 – Reflectional and Rotational Symmetry – Homework
1. Consider the capital letters from H through P.
H I J K L M N O P
a. List the letters with no lines of reflectional symmetry.
b. List the letters with exactly one line of reflectional symmetry.
c. List the letters with exactly two lines of reflectional symmetry.
d. Consider the four operation symbols
symmetry does each one have?
+, -, , and . How many lines of reflectional
2. Identify an example of a figure that meets these sets of properties.
a. rotational symmetry with angle of rotational symmetry of 90°
b. rotational symmetry with angles of rotational symmetry of 72°
c. rotational symmetry with angle of rotational symmetry of 180°, two lines of reflectional
symmetry
d. rotational symmetry with angle of rotational symmetry of 180°, no lines of reflectional
symmetry
3. Do you think it is possible for a figure to have an angle of rotational symmetry of 37°? If so,
describe the figure. If not, explain why not.
4. Describe the rotational and reflectional symmetry of these shapes.
a. ellipse
b. right isosceles triangle
c. letter S
d. plus sign
5. Do these pictures have reflectional symmetry, rotational symmetry, or both? (circle your
answer)
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