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, called the image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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 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 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 flips a shape over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is dilation?

Back

Dilation is a transformation that changes the size of a shape but not its shape, using a scale factor.

Tags

CCSS.8.G.A.3

Front

How do you rotate a point 90° counterclockwise about the origin?

Back

To rotate a point (x, y) 90° counterclockwise, the new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens when you rotate a shape 360 degrees?

Back

Rotating a shape 360 degrees returns it to its original position.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a shape over the x-axis?

Back

Reflecting a shape over the x-axis changes the sign of the y-coordinate of each point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of reflecting a shape over the y-axis?

Back

Reflecting a shape over the y-axis changes the sign of the x-coordinate of each point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5