Transformations in Geometry

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, called the image.

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 slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

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 figure 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 figure over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same, using a scale factor.

Tags

CCSS.8.G.A.3

Front

What is the scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during dilation.

Tags

CCSS.8.G.A.3

Front

What is the pre-image in transformations?

Back

The pre-image is the original figure before any transformation is applied.

Tags

CCSS.HSG.CO.A.2

Front

What is the image in transformations?

Back

The image is the resulting figure after a transformation has been applied to the pre-image.

Tags

CCSS.HSG.CO.A.2

Front

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

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5