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.

Front

What does it mean for sides in similar figures to be proportional?

Back

It means that the ratios of the lengths of corresponding sides of the figures are equal.

Front

Are the following figures similar? Why or why not?

Back

No, the ratios of the corresponding sides are not equal.

Front

If two triangles have angles measuring 30°, 60°, and 90°, are they similar?

Back

Yes, because they have the same angle measures.

Front

Marvin's son is 3 ft tall and casts a shadow of 1 ft. Marvin casts a shadow of 2.5 ft. How tall is Marvin?

Back

7.5 ft

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal.

Front

If two figures are similar, what can be said about their perimeters?

Back

The ratio of their perimeters is equal to the ratio of their corresponding sides.

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 ratio of their sides?

Back

The ratio of their sides is 1:2.

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 a rectangle has a length of 10 cm and a width of 5 cm, and it is similar to another rectangle with a length of 20 cm, what is the width of the second rectangle?

Back

The width of the second rectangle is 10 cm.