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.

Tags

CCSS.HSG.CO.A.2

Front

What are the four main types of transformations?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.8.G.A.3