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

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

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, it is used to compare the lengths of corresponding sides.

Front

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

Back

The lengths of the corresponding sides of similar triangles are in the same ratio.

Front

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

Back

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

Front

What is the formula for finding the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

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 ratio of their corresponding side lengths.

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 to complete a proportion?

Back

Completing a proportion involves finding the missing value in a ratio that makes the two ratios equal.

Front

How do you set up a proportion to find a missing side?

Back

To set up a proportion, write the ratio of one pair of corresponding sides equal to the ratio of the other pair of corresponding sides.