Symmetry Theorems

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Equality

• Symmetric Property of Equality

• Symmetric Property of Congruence

• Reflexive Property of Congruence

What is one of the angles of rotation needed to rotate this octagon onto itself?

• 60

• 135

• 120

• 240

What is the center of rotation need to rotate the triangle onto itself?

• F

• G

• E

• D

Identify the smallest angle of rotation that maps the image to itself.

• 72°

• 180°

• 144°

• 45°

Half of the symmetric figure is given. Choose the other half of the shape given at the choices below.

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Half of the symmetric figure is given. Choose the other half of the given shape at the choices below.

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• 
• 

Find the order of rotational symmetry in this shape.

• 3

• 2

• 1

• 0

Find the order of rotational symmetry in this shape.

• 4

• 8

• 7

• 6

Find the order of rotational symmetry in this shape.

• 0

• 1

• 2

• 3