Similar Figures 2

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.

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.

Front

If two triangles are similar, what can be said about their angles?

Back

All corresponding angles of similar triangles are equal.

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.

Front

If the scale factor is 2:1, what does this mean?

Back

It means that one figure is twice as large as the other figure.

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 relationship between the areas of 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 a 6 ft man casts a 2 ft shadow, what is the height of a tree that casts a 24 ft shadow?

Back

The height of the tree is 72 feet.

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

What is the formula to find the missing side in similar triangles?

Back

If triangle ABC is similar to triangle DEF, then AB/DE = AC/DF = BC/EF.