Identify 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 is a dilation?

Back

A dilation is a transformation that changes the size of a shape but not its shape, by a scale factor.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

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

Front

What is a translation?

Back

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

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the size of the image to the size of the original shape in a dilation.

Front

How does a reflection affect the coordinates of a point?

Back

In a reflection over the x-axis, the y-coordinate changes sign; in a reflection over the y-axis, the x-coordinate changes sign.

Front

What happens to the angles of a shape during a rotation?

Back

The angles of a shape remain the same during a rotation.

Front

Can a shape undergo multiple transformations?

Back

Yes, a shape can undergo multiple transformations, such as a rotation followed by a translation.

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 (like rotation, reflection, and translation), while a non-rigid transformation (like dilation) changes the size.