Warm-Up_Reflectional and Rotational Symmetry

Front

What is rotational symmetry?

Back

Rotational symmetry is a property of a shape that looks the same after a certain amount of rotation. The smallest angle of rotation that maps the shape onto itself is called the angle of rotation.

Front

What is the smallest angle of rotation for a shape with 180° rotational symmetry?

Back

The smallest angle of rotation for a shape with 180° rotational symmetry is 180°.

Front

What is the smallest angle of rotation for a shape with 72° rotational symmetry?

Back

The smallest angle of rotation for a shape with 72° rotational symmetry is 72°.

Front

How do you determine the number of lines of symmetry in a shape?

Back

The number of lines of symmetry in a shape can be determined by identifying all the lines that can divide the shape into two identical halves.

Front

What is the order of rotational symmetry?

Back

The order of rotational symmetry is the number of times a shape can be rotated within a full 360° rotation and still look the same.

Front

If a shape has an order of rotation of 1, what does that mean?

Back

If a shape has an order of rotation of 1, it means that the shape looks the same only after a full rotation of 360°.

Front

What is the relationship between lines of symmetry and rotational symmetry?

Back

Shapes with more lines of symmetry often have higher orders of rotational symmetry, as they can be rotated to match their original position at multiple angles.

Front

How many lines of symmetry does a triangle have?

Back

An equilateral triangle has 3 lines of symmetry.

Front

What is the angle of rotation for a shape with an order of 3?

Back

The angle of rotation for a shape with an order of 3 is 120° (360° divided by 3).

Front

Can a shape have rotational symmetry but no lines of symmetry?

Back

Yes, a shape can have rotational symmetry without any lines of symmetry, such as a non-symmetrical star.