Greenfield 12/3 - rotations and dilations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a center point and a scale factor.

Tags

CCSS.8.G.A.3

Front

What is the scale factor in a dilation?

Back

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

Tags

CCSS.8.G.A.3

Front

If the scale factor k = 3, what happens to the coordinates of a point (x,y) under dilation?

Back

The new coordinates will be (3x, 3y).

Tags

CCSS.8.G.A.3

Front

What is the formula for the scale factor in a dilation?

Back

Tags

CCSS.8.G.A.3

Front

What is the effect of a scale factor less than 1 on a shape?

Back

A scale factor less than 1 reduces the size of the shape.

Tags

CCSS.8.G.A.3

Front

What is the effect of a scale factor greater than 1 on a shape?

Back

A scale factor greater than 1 enlarges the size of the shape.

Tags

CCSS.8.G.A.3

Front

What is a rotation in geometry?

Back

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point (x,y) 90 degrees counterclockwise around the origin?

Back

The new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What are the coordinates of the point (7,8) after a 90-degree counterclockwise rotation around the origin?

Back

The new coordinates will be (-8, 7).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of rotating a point 180 degrees around the origin?

Back

The new coordinates will be (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5