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 rotation, reflection, and translation.

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

Define translation in geometry.

Back

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

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a shape is rotated.

Front

How does a reflection affect the coordinates of a point?

Back

A reflection over the x-axis changes the sign of the y-coordinate, while a reflection over the y-axis changes the sign of the x-coordinate.

Front

What is the angle of rotation?

Back

The angle of rotation is the measure of the degree through which a shape is rotated around the center of rotation.

Front

Can a shape undergo multiple transformations?

Back

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

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 size or shape.