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 of similar figures?

Back

To find the missing side, 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

If two similar figures have a scale factor of 3, what does that mean?

Back

A scale factor of 3 means that each side of the larger figure is 3 times the length of the corresponding side of the smaller figure.

Tags

CCSS.7.G.A.1

Front

What is the scale factor if the lengths of two similar rectangles are 5 cm and 15 cm?

Back

The scale factor is 1:3.

Tags

CCSS.7.G.A.1

Front

If the area of a similar figure is 36 square units, and the scale factor is 2, what is the area of the original figure?

Back

The area of the original figure is 9 square units.

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is equal to the ratio of their corresponding side lengths.

Front

If the sides of two similar triangles are in the ratio 2:5, what is the ratio of their areas?

Back

The ratio of their areas is 4:25.