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 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 dilation?

Back

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

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

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 happens to a shape during a rotation?

Back

During a rotation, each point of the shape moves in a circular path around the center of rotation.

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points are expanded or contracted.

Front

What is the scale factor in dilation?

Back

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

Front

Can a transformation change the orientation of a shape?

Back

Yes, a reflection and rotation can change the orientation of a shape, while a translation and dilation do not.