Dilations

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?

Back

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

Front

What does a scale factor less than 1 indicate?

Back

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

Front

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

Back

If the scale factor is 1, the figure remains unchanged.

Front

How do you calculate the coordinates of a dilated point?

Back

To calculate the coordinates of a dilated point, multiply the original coordinates by the scale factor.

Front

What is the scale factor in the dilation of a triangle from (2,3) to (4,6)?

Back

The scale factor is 2.

Front

What is the result of dilating a point (3,4) by a scale factor of 1/2?

Back

The result is (1.5, 2).

Front

What is the difference between enlargement and reduction in dilations?

Back

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

Front

What is the scale factor if a figure is reduced from a size of 10 to a size of 8?

Back

The scale factor is 8/10 or 4/5.

Front

How does a scale factor of 0 affect a figure?

Back

A scale factor of 0 reduces the figure to a single point at the origin.