Symmetry

Front

What is symmetry?

Back

Symmetry is a property where a shape or object can be divided into parts that are arranged in a balanced and proportional manner. It can be classified into two main types: line symmetry and rotational symmetry.

Front

Define line symmetry.

Back

Line symmetry, or reflectional symmetry, occurs when a shape can be divided into two identical halves that are mirror images of each other along a line.

Front

Define rotational symmetry.

Back

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

Front

What is the order of rotational symmetry?

Back

The order of rotational symmetry is the number of times a shape fits onto itself during a full rotation of 360 degrees.

Front

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

Back

The smallest angle of rotation is the angle at which the shape can be rotated to coincide with itself for the first time.

Front

What is an isometry?

Back

An isometry is a transformation that preserves distances and angles, meaning the shape remains congruent after the transformation.

Front

List the types of isometries.

Back

The types of isometries include reflection, rotation, and translation.

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a shape but not its shape or angles, making it a non-isometric transformation.

Front

How do you determine the angle of rotation for a regular polygon?

Back

The angle of rotation for a regular polygon can be determined by dividing 360 degrees by the number of sides.

Front

What is an example of a shape with line symmetry?

Back

An example of a shape with line symmetry is a square, which can be divided into two equal halves along multiple lines.