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.

Front

What is a scale factor?

Back

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

Front

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

Back

The figure enlarges.

Front

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

Back

The figure shrinks.

Front

What point remains unchanged during a dilation?

Back

The center of dilation remains unchanged.

Front

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

Back

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

Front

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

Back

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

Front

How do you find the new coordinates after dilation?

Back

Multiply the original coordinates by the scale factor.

Front

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

Back

The figure remains the same size; it is unchanged.

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.