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

What is a translation?

Back

A translation moves a shape from one location to another without changing its size, shape, or orientation.

Front

What is a rotation?

Back

A rotation turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is a reflection?

Back

A reflection flips a shape over a line, creating a mirror image of the original shape.

Front

What is a dilation?

Back

A dilation resizes a shape by a scale factor, either enlarging or reducing it while maintaining its proportions.

Front

How does a translation affect the coordinates of a shape?

Back

In a translation, the coordinates of each point of the shape are changed by adding or subtracting values to/from the x and y coordinates.

Front

What happens to a shape during a rotation?

Back

During a rotation, the shape maintains its size and shape but changes its position and 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 its mirror image.

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio that describes how much a shape is enlarged or reduced during a dilation.