Similar Figures and Proportions

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It can be used to solve for unknown values in similar figures.

Front

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

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What are corresponding sides?

Back

Corresponding sides are the sides of similar figures that are in the same relative position.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What are corresponding angles?

Back

Corresponding angles are the angles of similar figures that are in the same relative position.

Tags

CCSS.8.G.A.5

Front

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

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Tags

CCSS.HSG.SRT.A.2

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.

Tags

CCSS.7.G.A.1

Front

If the scale factor of two similar triangles is 3:5, and the shorter side of the first triangle is 6 cm, what is the length of the corresponding side in the second triangle?

Back

The length of the corresponding side in the second triangle is 10 cm.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.