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

Translation, Reflection, Rotation, 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 reflection?

Back

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

Front

What is a rotation?

Back

A rotation turns a shape around a fixed point at a certain angle.

Front

What is dilation?

Back

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

Front

What happens to the coordinates of a point during a translation?

Back

The coordinates of a point are changed by adding or subtracting values to/from the x and y coordinates.

Front

How does a reflection over the x-axis affect the coordinates of a point?

Back

It changes the sign of the y-coordinate.

Front

What is the scale factor in dilation?

Back

The scale factor determines how much a shape is enlarged or reduced during dilation.

Front

What is the difference between rigid and non-rigid transformations?

Back

Rigid transformations preserve the shape and size of a figure, while non-rigid transformations do not.