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

How do you determine if two figures are similar?

Back

Two figures are similar if 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 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 two triangles are similar, what can be said about their angles?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the scale factor?

Back

The scale factor is 2:1.

Tags

CCSS.HSG.SRT.A.2

Front

If the scale factor of two similar figures is 3:1, and the length of a side in the smaller figure is 5 cm, what is the length of the corresponding side in the larger figure?

Back

The length of 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 side lengths.

Front

If the sides of two similar rectangles are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9.

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 the corresponding sides of the similar figures.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle XYZ is similar to triangle PQR and XY = 6 cm, PQ = 9 cm, find the length of side YZ if side QR = 12 cm.

Back

Side YZ = 8 cm.

Tags

CCSS.HSG.SRT.A.2