Point, Line, & Rotational Symmetry

Front

What is line symmetry?

Back

Line symmetry occurs when a figure can be divided into two identical halves that are mirror images of each other along a line (the line of symmetry).

Front

What is point symmetry?

Back

Point symmetry exists when every part of a figure has a matching part at an equal distance from a central point, meaning the figure looks the same when rotated 180 degrees around that point.

Front

What is the line of symmetry for a square?

Back

A square has four lines of symmetry: two diagonals and two vertical/horizontal lines through the center.

Front

Can a figure have both line and point symmetry? Give an example.

Back

Yes, a circle has both line symmetry (infinite lines of symmetry) and point symmetry (every point has a matching point on the opposite side).

Front

What is an example of a figure with neither line nor point symmetry?

Back

An irregular shape, such as a random polygon with no equal sides or angles, typically has neither line nor point symmetry.

Front

How can you determine if a figure has line symmetry?

Back

To determine line symmetry, fold the figure along a potential line of symmetry and check if both halves match perfectly.

Front

What is rotational symmetry?

Back

Rotational symmetry is when a figure can be rotated around a central point and still look the same at certain angles.

Front

How many degrees can a square be rotated to show rotational symmetry?

Back

A square can be rotated 90 degrees, 180 degrees, 270 degrees, and 360 degrees to show rotational symmetry.

Front

What is the order of rotational symmetry for a triangle?

Back

An equilateral triangle has an order of rotational symmetry of 3, as it can be rotated to three different positions (120 degrees apart) and still look the same.

Front

What is the difference between line symmetry and rotational symmetry?

Back

Line symmetry involves a figure being mirrored along a line, while rotational symmetry involves a figure looking the same after being rotated around a point.