Transformations and Symmetry

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

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in a specified direction.

Front

What is reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is symmetry?

Back

Symmetry is a property where a shape or object is identical on both sides of a dividing line or around a central point.

Front

Define 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 is the difference between a rigid transformation and a non-rigid transformation?

Back

A rigid transformation preserves the shape and size of a figure, while a non-rigid transformation may change the shape or size.

Front

What does it mean to map a figure onto another figure?

Back

Mapping a figure onto another figure involves applying transformations to move the first figure to coincide with the second figure.

Front

Describe a sequence of transformations.

Back

A sequence of transformations is a series of transformations applied one after the other to change the position or orientation of a shape.

Front

What is a 180° rotation?

Back

A 180° rotation turns a shape halfway around a point, resulting in a shape that is upside down.