Transformations Review

Front

What is a transformation in geometry?

Back

A transformation is a mathematical operation that moves or changes a shape in some way, including translations, rotations, reflections, and dilations.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a dilation?

Back

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

Tags

CCSS.8.G.A.3

Front

How do you find the scale factor in a dilation?

Back

The scale factor is found by dividing the distance from the center of dilation to a point on the image by the distance from the center of dilation to the corresponding point on the original figure.

Tags

CCSS.8.G.A.3

Front

What is a translation?

Back

A translation is a transformation that slides a figure 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 mathematical operations are used in a translation?

Back

Addition and subtraction are used to determine the new coordinates of the points after translation.

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 the line of reflection?

Back

The line of reflection is the line over which a figure is reflected, creating a mirror image.

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

How do you rotate a point 90 degrees clockwise around the origin?

Back

To rotate a point (x, y) 90 degrees clockwise around the origin, the new coordinates become (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the image of the point (-5, 8) after a 90-degree clockwise rotation around the origin?

Back

The image of the point (-5, 8) after a 90-degree clockwise rotation is (8, 5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5