Dilations and Scale Factor

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, either enlarging or reducing it.

Front

What does a scale factor of greater than 1 indicate?

Back

A scale factor greater than 1 indicates an enlargement of the figure.

Front

What does a scale factor of less than 1 indicate?

Back

A scale factor less than 1 indicates a reduction of the figure.

Front

If a figure is dilated by a scale factor of 1, what happens to the figure?

Back

The figure remains the same size; it is neither enlarged nor reduced.

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 if a figure is reduced to half its size?

Back

The scale factor is 1/2.

Front

What is the scale factor if a figure is enlarged to twice its size?

Back

The scale factor is 2.

Front

Can a dilation be both an enlargement and a reduction?

Back

No, a dilation can only be one or the other based on the scale factor.

Front

If the original figure has a perimeter of 10 units and is dilated by a scale factor of 3, what is the perimeter of the new figure?

Back

The new perimeter is 30 units.

Front

If a triangle is dilated with a scale factor of 1/3, what happens to its area?

Back

The area of the triangle is reduced to 1/9 of the original area.