Similar Figures Practice

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

How do you find the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

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 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 a flagpole in a drawing measures 12 inches and the scale is 1 inch = 4 feet, how tall is the actual pole?

Back

The actual height of the pole is 48 feet.

Front

If the sides 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

What is the formula to find the missing side of similar figures?

Back

If two figures are similar, the ratio of their corresponding sides is equal to the ratio of their corresponding lengths.

Front

If one side of a triangle is 5 cm and the corresponding side of a similar triangle is 15 cm, what is the scale factor?

Back

The scale factor is 3.

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 value of x if two similar triangles have sides in the ratio 3:5 and one side of the smaller triangle is 9?

Back

x = 15.