Dilation and Scale Factors

Front

What is dilation in geometry?

Back

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

Tags

CCSS.8.G.A.3

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during dilation.

Tags

CCSS.8.G.A.3

Front

If the scale factor is greater than 1, what happens to the figure?

Back

The figure enlarges.

Tags

CCSS.8.G.A.3

Front

If the scale factor is between 0 and 1, what happens to the figure?

Back

The figure shrinks.

Tags

CCSS.8.G.A.3

Front

What point remains unchanged during a dilation?

Back

The center of dilation remains unchanged.

Tags

CCSS.8.G.A.3

Front

What is the dilation rule for a scale factor of 2?

Back

The dilation rule is (x, y) → (2x, 2y).

Tags

CCSS.8.G.A.3

Front

What is the dilation rule for a scale factor of 1/3?

Back

The dilation rule is (x, y) → (1/3x, 1/3y).

Tags

CCSS.8.G.A.3

Front

How do you find the new coordinates after dilation?

Back

Multiply the original coordinates by the scale factor.

Tags

CCSS.8.G.A.3

Front

What is the effect of a scale factor of 1 on a figure?

Back

The figure remains the same size; it is unchanged.

Tags

CCSS.8.G.A.3

Front

What is the original length of segment AB if it measures 5 units after dilation with a scale factor of 1?

Back

The original length is also 5 units.

Tags

CCSS.8.G.A.3