Transformations Introductions

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way on a coordinate plane.

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 do you identify a translation in a graph?

Back

A translation can be identified by observing that the shape has moved to a new position without any rotation or reflection.

Front

What does the y-axis represent in a coordinate plane?

Back

The y-axis represents the vertical line in a coordinate plane where the x-coordinate is zero.

Front

What is the effect of a 90-degree rotation on a shape?

Back

A 90-degree rotation turns the shape a quarter turn around the center of rotation.

Front

What is the effect of a reflection over the x-axis?

Back

A reflection over the x-axis flips the shape vertically, changing the sign of the y-coordinates.