Unit 3 Lessons 4&5 Dilation and Scale Factor Extra Practice

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape, using a center point and 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

How do you calculate the length of a segment after dilation?

Back

Multiply the original length by the scale factor.

Front

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

Back

The figure enlarges.

Front

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

Back

The figure shrinks.

Front

What is the scale factor if Triangle DEF is the image of Triangle ABC and the lengths of corresponding sides are in the ratio 3:2?

Back

The scale factor is 1.5 or 3/2.

Front

How do you determine if one triangle is a dilation of another?

Back

Check if the corresponding sides are proportional and if the angles are equal.

Front

What is the length of QR' if Point R is dilated using Center Q by a scale factor of 2.4 and QR is 5.7?

Back

QR' = 5.7 * 2.4 = 13.68.

Front

What is the length of QR' if Point Q is dilated using Center R by a scale factor of 0.4 and QR is 5.7?

Back

QR' = 5.7 * 0.4 = 2.28.

Front

If Triangle ABC is dilated to Triangle DEF with a scale factor of 2, what can you say about the lengths of the sides?

Back

The lengths of the sides of Triangle DEF are twice as long as those of Triangle ABC.