Scale factor and dilations

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. In dilations, it determines how much larger or smaller a figure will be compared to the original.

Front

What happens to a figure when the scale factor is greater than 1?

Back

The figure undergoes an enlargement, making it larger than the original.

Front

What happens to a figure when the scale factor is less than 1?

Back

The figure undergoes a reduction, making it smaller than the original.

Front

How do you express a dilation with a scale factor of 1?

Back

The figure remains unchanged; (x, y) goes to (x, y).

Front

If the scale factor is 2, how do you write the algebraic notation?

Back

(x, y) goes to (2x, 2y).

Front

What is the algebraic notation for a scale factor of 1/2?

Back

(x, y) goes to (1/2x, 1/2y).

Front

What is the effect of a negative scale factor?

Back

A negative scale factor reflects the figure across the origin, in addition to scaling it.

Front

How do you determine if a dilation is an enlargement or a reduction?

Back

If the scale factor is greater than 1, it is an enlargement; if it is less than 1, it is a reduction.

Front

What is the scale factor in the transformation (x, y) to (3x, 3y)?

Back

k = 3.

Front

What is the scale factor in the transformation (x, y) to (1/2x, 1/2y)?

Back

k = 1/2.