Identifying Transformations

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

Define translation in geometry.

Back

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

Front

Define 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.

Front

What is the effect of a translation on a shape's size and orientation?

Back

A translation does not change the size or orientation of a shape; it only changes its position.

Front

What happens to a shape during a rotation?

Back

During a rotation, the shape maintains its size and shape but changes its orientation based on the angle of rotation.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is flipped to create a 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 (e.g., translation, rotation, reflection), while a non-rigid transformation may change the size or shape (e.g., dilation).