6.4 Sequence of Transformations

Front

What is a transformation in geometry?

Back

A transformation in geometry 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

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

What is a translation?

Back

A translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape 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 shape over a line, creating a mirror image.

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

The effect of a 90° counterclockwise rotation on a point (x, y) is to move it to the point (-y, x).

Front

What is the effect of a 180° rotation on a point (x, y)?

Back

The effect of a 180° rotation on a point (x, y) is to move it to the point (-x, -y).

Front

What is the effect of a reflection over the x-axis on a point (x, y)?

Back

The effect of a reflection over the x-axis on a point (x, y) is to move it to the point (x, -y).

Front

What is the effect of a reflection over the y-axis on a point (x, y)?

Back

The effect of a reflection over the y-axis on a point (x, y) is to move it to the point (-x, y).

Front

What is the sequence of transformations?

Back

The sequence of transformations refers to the order in which multiple transformations are applied to a shape.