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Exploring Symmetry in Plane Figures

Observe how a figure can be rotated or reflected to reveal line and rotational symmetry.

Task 1

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

Task 2

Explore both rotational and line symmetry for several figures. Is it possible for a figure to have rotational symmetry and line symmetry at the same time?  Can it have one type of symmetry without the other?

Task 3

Explore rotational symmetry for several figures. What is the relationship between the angle of symmetry and the order of symmetry?

Task 4

The first Ferris wheel made its debut at the Chicago World Fair in 1893. It stood 284 feet tall, and had 36 passenger cars that held 60 people each. What as its angle of rotational symmetry?