Dilations and Scale Factor Practice

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, using a scale factor.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a figure during a dilation.

Front

If a scale factor is greater than 1, what type of transformation is it?

Back

It is an enlargement.

Front

If a scale factor is less than 1, what type of transformation is it?

Back

It is a reduction.

Front

What is the scale factor if the original length is 5 and the new length is 10?

Back

The scale factor is 2.

Front

What is the scale factor if the original length is 8 and the new length is 4?

Back

The scale factor is 0.5.

Front

How do you determine the scale factor from two similar figures?

Back

Divide the length of a side of the image by the length of the corresponding side of the original figure.

Front

What is the rule for dilating a point (x, y) by a scale factor of k?

Back

The rule is (x, y) → (kx, ky).

Front

If a triangle has vertices at (1, 2), (3, 4), and (5, 6), what are the new coordinates after a dilation with a scale factor of 3?

Back

The new coordinates are (3, 6), (9, 12), and (15, 18).

Front

What happens to the area of a figure when it is dilated by a scale factor of k?

Back

The area is multiplied by k².