Transformation: Dilation Honors

Front

What is a dilation in geometry?

Back

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

Front

What does a scale factor greater than 1 indicate in a dilation?

Back

It indicates an enlargement of the figure.

Front

What does a scale factor less than 1 indicate in a dilation?

Back

It indicates a reduction of the figure.

Front

How is a dilation represented algebraically?

Back

A dilation can be represented as (x, y) → (kx, ky), where k is the scale factor.

Front

If the scale factor is 3, what happens to the coordinates of a point (2, 4) after dilation?

Back

The new coordinates will be (6, 12) because (2*3, 4*3) = (6, 12).

Front

What is the difference between enlargement and reduction in dilation?

Back

Enlargement increases the size of the figure (scale factor > 1), while reduction decreases the size (scale factor < 1).

Front

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

Back

The figure remains unchanged.

Front

What is the scale factor if a figure is reduced from a size of 8 to a size of 4?

Back

The scale factor is 1/2.

Front

In a dilation, if the original figure has a perimeter of 10 and the scale factor is 2, what is the perimeter of the dilated figure?

Back

The perimeter of the dilated figure will be 20.

Front

What is the effect of a negative scale factor in dilation?

Back

A negative scale factor reflects the figure across the origin and changes its size.