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

How do you find the perimeter of similar figures?

Back

To find the perimeter of similar figures, first determine the scale factor, then multiply the perimeter of the smaller figure by the scale factor.

Front

If two triangles are similar, what can you say about their angles?

Back

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

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the scale factor?

Back

The scale factor is 9/6 or 3/2.

Front

What is a proportion in the context of similar figures?

Back

A proportion is an equation that states that two ratios are equal. In similar figures, the ratios of corresponding sides are proportional.

Front

How do you solve for a missing side in similar figures?

Back

To solve for a missing side in similar figures, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of the areas of two similar figures is equal to the square of the scale factor.

Front

If the scale factor of two similar figures is 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9, since (2^2):(3^2) = 4:9.

Front

What does it mean if two figures are not similar?

Back

If two figures are not similar, it means they do not have the same shape, their corresponding angles are not equal, or their corresponding sides are not in proportion.