Sequences 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.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a 90° clockwise rotation?

Back

A 90° clockwise rotation is a transformation that turns a shape 90 degrees in the clockwise direction around a fixed point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

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 does it mean to reflect over the y-axis?

Back

Reflecting over the y-axis means that each point of the shape is mirrored across the y-axis, changing the sign of the x-coordinate.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a 90° counterclockwise rotation?

Back

A 90° counterclockwise rotation is a transformation that turns a shape 90 degrees in the counterclockwise direction around a fixed point.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is a 180° rotation?

Back

A 180° rotation is a transformation that turns a shape 180 degrees around a fixed point, effectively flipping it upside down.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What does it mean to reflect over the line y = -x?

Back

Reflecting over the line y = -x means that each point of the shape is mirrored across the line y = -x, swapping the x and y coordinates and changing their signs.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you perform a translation?

Back

A translation is performed by moving every point of a shape a certain distance in a specified direction.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the effect of a transformation on the size of a shape?

Back

Transformations like rotation and reflection do not change the size of a shape, while dilation changes the size.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3