Similar Figures Review

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 corresponding sides are proportional.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 5 cm and side DE is 10 cm, what is the scale factor?

Back

The scale factor is 2:1.

Front

How do you find the length of a missing side in similar figures?

Back

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

Front

What is the scale factor if a drawing is made to a scale of 1 inch = 7 feet?

Back

The scale factor is 1:84 (since 1 inch represents 7 feet, and there are 12 inches in a foot).

Front

If the actual width of a backyard is 49 ft, how wide is it in a drawing made to a scale of 1 in = 7 ft?

Back

The width in the drawing is 7 inches.

Front

What is the length of EF if triangle ABC is similar to triangle DEF and the length of AB is 12 inches and DE is 18 inches?

Back

EF is 27 inches.

Front

How do you convert actual measurements to a scale drawing?

Back

To convert actual measurements to a scale drawing, divide the actual measurement by the scale factor.

Front

If the actual length of a path is 408 meters and the scale is 1 cm = 10 m, what is the length on the map?

Back

The length on the map is 40.8 centimeters.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.