Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may have different sizes. Their corresponding angles are equal, and their corresponding sides are in proportion.

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.

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.

Front

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

Back

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

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.

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.

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 side lengths 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

Find the missing side length if triangle ABC is similar to triangle DEF and AB = 6 cm, DE = 9 cm, and BC = x cm, EF = 12 cm. What is x?

Back

x = 8 cm.

Front

If two similar figures have a scale factor of 1:4, and the area of the smaller figure is 10 cm², what is the area of the larger figure?

Back

The area of the larger figure is 40 cm².