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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for two figures to be in proportion?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

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

Tags

CCSS.HSG.SRT.A.2

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.

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 two corresponding sides of similar figures.

Tags

CCSS.7.G.A.1

Front

If the scale factor of two similar figures is 3:5, and one side of the smaller figure is 9 cm, what is the corresponding side in the larger figure?

Back

The corresponding side in the larger figure is 15 cm.

Tags

CCSS.7.G.A.1

Front

How do you solve for a missing variable in a proportion?

Back

Cross-multiply the known values and then solve for the variable.

Front

If two similar rectangles have lengths of 6 cm and 9 cm, what is the ratio of their areas?

Back

The ratio of their areas is (6^2):(9^2) = 36:81 or 4:9.

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.