Dilations/Scale Factor

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, a quantity. In geometry, it is the ratio of the lengths of corresponding sides of two similar figures.

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 triangle ABC is dilated by a scale factor of 2, what happens to its size?

Back

The size of triangle ABC will double.

Front

What is the scale factor from triangle ABC to triangle DEF if the sides of DEF are twice as long as those of ABC?

Back

The scale factor is 2.

Front

If the scale factor is 1/2, what type of transformation is applied?

Back

A reduction.

Front

If the scale factor is 2.5, what type of transformation is applied?

Back

An enlargement.

Front

What are similar figures?

Back

Similar figures are figures that have the same shape but may have different sizes.

Front

In similar figures, what remains constant?

Back

The ratios of the lengths of corresponding sides remain constant.

Front

If two triangles are similar, what can be said about their angles?

Back

The corresponding angles of similar triangles are equal.