Dilations and Scale Factor

Front

What is a dilation?

Back

The process of making a polygon larger or smaller without changing its shape.

Front

What is the scale factor in a dilation?

Back

The ratio that describes how much a figure is enlarged or reduced.

Front

How do you calculate the scale factor?

Back

The scale factor is calculated using the formula \( \frac{new}{old} \).

Front

If a point A (8, 12) is dilated to point A' (2, 3), what is the scale factor?

Back

The scale factor is \( \frac{1}{4} \).

Front

True or False: A dilation produces a congruent figure.

Back

False.

Front

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

Back

The figure is enlarged.

Front

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

Back

The figure is reduced.

Front

If a scale factor of 1/2 is applied, what happens to the size of the figure?

Back

The figure is reduced to half its original size.

Front

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

Back

The figure remains the same size.

Front

How does a dilation affect the angles of a figure?

Back

The angles remain the same after a dilation.