Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the three main types of transformations?

Back

The three main types of transformations are translation, rotation, and reflection.

Front

What is translation in geometry?

Back

Translation is a transformation that moves a shape from one location to another without changing its size, shape, or orientation.

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

What is line of symmetry?

Back

A line of symmetry is a line that divides a shape into two identical parts that are mirror images of each other.

Front

What does it mean for a shape to have rotational symmetry?

Back

A shape has rotational symmetry if it can be rotated around a central point and still look the same at certain angles.

Front

What is congruence in geometry?

Back

Congruence means that two shapes are the same size and shape, and can be made to coincide by transformations.

Front

What is the relationship between reflection and congruence?

Back

When a shape is reflected, it remains congruent to the original shape; the sides and angles do not change.

Front

What is the difference between reflection symmetry and rotation symmetry?

Back

Reflection symmetry involves a mirror line, while rotation symmetry involves turning the shape around a point.