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 four main types of transformations?

Back

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

Front

Define rotation in the context of transformations.

Back

Rotation is a transformation that turns a shape around a fixed point, known as the center of rotation.

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 the line of reflection?

Back

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

Front

What does it mean to translate a shape?

Back

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

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Front

How is the center of rotation determined?

Back

The center of rotation is the fixed point around which a shape is rotated, and it can be any point in the plane.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a shape around a point, while reflection flips a shape over a line.

Front

What is a transformation rule?

Back

A transformation rule describes how each point of a shape moves during a transformation.