Similar Figures

Front

What are similar figures?

Back

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

Front

If Triangle ABC is similar to Triangle DFE, what can we say about their angles?

Back

The corresponding angles of Triangle ABC and Triangle DFE are equal.

Front

How do you find the missing side of similar triangles?

Back

To find the missing side, set up a proportion using the lengths of the corresponding sides of the similar triangles.

Front

If a man who is 5ft tall casts an 8ft shadow, how can we find the height of a flag pole that casts a 24ft shadow?

Back

Use the proportion: height of man / shadow of man = height of flag pole / shadow of flag pole.

Front

What is the ratio of the sides of similar triangles?

Back

The ratio of the sides of similar triangles is constant and equal to the ratio of any pair of corresponding sides.

Front

If Triangle ABC has sides of 4, 6, and 8, and Triangle DEF is similar to it, what could be the sides of Triangle DEF?

Back

The sides of Triangle DEF could be in the ratio of 2:3:4, such as 8, 12, and 16.

Front

True or False: Similar figures can be different shapes.

Back

False. Similar figures must have the same shape.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

If Triangle A has a side length of 10 and Triangle B is similar with a side length of 15, what is the scale factor?

Back

The scale factor is 15/10 or 3/2.

Front

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if the lengths of their corresponding sides are proportional.