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 does it mean for two figures to be in proportion?

Back

Two figures are in proportion when the ratios of their corresponding side lengths are equal.

Front

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

Back

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

Front

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

Back

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

Front

If Triangle A has sides of 4 cm, 6 cm, and 8 cm, and Triangle B is similar to Triangle A with the longest side of 12 cm, what is the length of the shortest side of Triangle B?

Back

The shortest side of Triangle B is 6 cm.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Front

If the scale factor between two similar rectangles is 3:2, and the length of one side of the smaller rectangle is 4 cm, what is the length of the corresponding side in the larger rectangle?

Back

The length of the corresponding side in the larger rectangle is 6 cm.

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 side lengths of two similar figures are in the ratio 1:4, what is the ratio of their areas?

Back

The ratio of their areas is 1:16.

Front

How can you determine if two figures are similar?

Back

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