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

How can you determine if a figure has line symmetry?

Back

To determine line symmetry, you can fold the figure along a line. If both halves match perfectly, the figure has line symmetry.

Front

How can you determine if a figure has point symmetry?

Back

To check for point symmetry, see if you can rotate the figure 180 degrees around a point and it looks the same as the original.

Front

Give an example of a shape with line symmetry.

Back

A square has line symmetry because it can be divided into two equal halves along multiple lines (vertical, horizontal, and diagonal).

Front

Give an example of a shape with point symmetry.

Back

A circle has point symmetry because every point on the circle has a corresponding point directly opposite it at an equal distance from the center.

Front

What is the difference between line symmetry and point symmetry?

Back

Line symmetry involves a line that divides a figure into mirror-image halves, while point symmetry involves a central point where every part of the figure has a matching part at an equal distance.

Front

Can a figure have both line and point symmetry?

Back

Yes, a figure can have both line and point symmetry, such as a regular hexagon.

Front

What is rotational symmetry?

Back

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

Front

How do you find the order of rotational symmetry?

Back

The order of rotational symmetry is the number of times a figure matches its original position during a full rotation of 360 degrees.