Transformations 8th

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, called the image.

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 is a transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is a rotation?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is a reflection?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

What is dilation?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same, using a scale factor.

Front

What is the algebraic notation for a reflection over the x-axis?

Back

The algebraic notation for a reflection over the x-axis is (x, y) → (x, -y).

Front

What is the algebraic notation for a rotation of 90° clockwise?

Back

The algebraic notation for a rotation of 90° clockwise is (x, y) → (y, -x).

Front

What is a pre-image?

Back

A pre-image is the original figure before any transformation is applied.

Front

What is an image?

Back

An image is the resulting figure after a transformation has been applied to the pre-image.