Identify the Transformation

Front

What is a transformation in geometry?

Back

A transformation in geometry refers to the movement of a shape in a plane. It can change the position, size, or orientation of the shape.

Front

What are the three main types of transformations?

Back

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

Front

Define translation in geometry.

Back

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

Front

What is 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

Define reflection in geometry.

Back

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

Front

What happens to the size of a shape during a translation?

Back

The size of the shape remains the same during a translation; only its position changes.

Front

How does a rotation affect the orientation of a shape?

Back

A rotation changes the orientation of a shape but does not change its size or shape.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is flipped to create its mirror image.

Front

Can a shape undergo multiple transformations?

Back

Yes, a shape can undergo multiple transformations, such as translating and then rotating.

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 (like translation, rotation, and reflection), while a non-rigid transformation may change the size or shape (like dilation).