Sequences of 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.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

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.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a reflection?

Back

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

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a 180° rotation?

Back

A 180° rotation turns a shape halfway around a circle, resulting in a shape that is upside down.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a 90° rotation?

Back

A 90° rotation turns a shape a quarter turn around a center point.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is reflected to create a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the difference between reflection over the x-axis and y-axis?

Back

Reflection over the x-axis flips the shape vertically, while reflection over the y-axis flips it horizontally.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the line y = x?

Back

The line y = x is a diagonal line where the x-coordinate and y-coordinate are equal, used as a line of reflection.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the line y = -x?

Back

The line y = -x is a diagonal line where the y-coordinate is the negative of the x-coordinate, also used for reflection.