Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

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

Back

If two triangles are similar, their corresponding angles are equal.

Front

If the sides of two similar triangles are in the ratio 2:3, what is the scale factor?

Back

The scale factor is 2:3.

Front

How do you find a missing side length in similar figures?

Back

To find a missing side length in similar figures, set up a proportion using the lengths of the corresponding sides.

Front

If a rectangle has dimensions 4 cm by 6 cm and is similar to another rectangle, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is the same as the ratio of their corresponding side lengths.

Front

If a photo is scaled down from 8 in. wide to 4 in. wide, what is the scale factor?

Back

The scale factor is 1/2.

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

If two similar figures have a scale factor of 1:4, how does this affect their areas?

Back

The area of the smaller figure is 1/16 of the area of the larger figure.