Symmetry and Rotation Concepts

What is a line of symmetry?

• A line that connects two points on a shape.

• A line that indicates the direction of movement.

• A line that divides a shape into two identical mirror-image halves.

• A line that represents the perimeter of a shape.

How many lines of symmetry does a square have?

• 2

• 6

• 8

• 4

Define rotational symmetry.

• An object has rotational symmetry if it can be divided into equal parts without rotation.

• An object has rotational symmetry if it can be stretched and still look the same.

• An object has rotational symmetry if it can be reflected across a line and remain unchanged.

• An object has rotational symmetry if it can be rotated around a central point and remain unchanged in appearance.

What is the order of rotational symmetry for a triangle?

• 2

• 3

• 4

• 6

How many degrees can a shape with rotational symmetry of order 4 be rotated?

• 90 degrees

• 360 degrees

• 180 degrees

• 45 degrees

Can a shape have both line and rotational symmetry? Give an example.

• A rectangle has only rotational symmetry.

• Yes, a shape can have both line and rotational symmetry. An example is a square.

• A triangle cannot have rotational symmetry.

• A circle has only line symmetry.

What is the order of rotational symmetry for a circle?

• 2

• 4

• 6

• infinite

How do you determine the line of symmetry for a rectangle?

• A rectangle has no lines of symmetry.

• A rectangle has only one line of symmetry.

• A rectangle has two lines of symmetry: one vertical and one horizontal.

• A rectangle has four lines of symmetry.

What shape has only one line of symmetry?

• Kite

• Triangle

• Rectangle

• Circle

Explain why a regular pentagon has rotational symmetry.

• A regular pentagon has rotational symmetry because it can be reflected across its diagonals.

• A regular pentagon has rotational symmetry because it can only be rotated by 90 degrees.

• A regular pentagon has rotational symmetry due to its unequal side lengths.

• A regular pentagon has rotational symmetry because it can be rotated by multiples of 72 degrees and remain unchanged.