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 the lengths of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape, which means their corresponding angles are equal and the ratios of the lengths of their corresponding sides are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you find a missing side in similar figures?

Back

To find a missing side in similar figures, set up a proportion using the lengths of the corresponding sides of the 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 is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

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

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 3:1, and one side of the smaller figure is 5 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

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 sides.