7.7 Area and Perimeter of Similar Figures

Front

What is the formula for the area of a rectangle?

Back

Area = length × width

Front

If two figures are similar, what is true about their corresponding angles?

Back

Their corresponding angles are equal.

Front

What is the ratio of the areas of two similar figures if the ratio of their corresponding sides is 3:5?

Back

The ratio of their areas is 3²:5² or 9:25.

Front

How do you find the perimeter of a rectangle?

Back

Perimeter = 2 × (length + width)

Front

What does it mean for two figures to be similar?

Back

They have the same shape but not necessarily the same size.

Front

If the height of a similar figure is scaled down by a factor of 2, what happens to the width?

Back

The width is also scaled down by the same factor of 2.

Front

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

Back

The ratio of their perimeters is the same as the ratio of their corresponding sides.

Front

If the ratio of the sides of two similar triangles is 4:7, what is the ratio of their areas?

Back

The ratio of their areas is 4²:7² or 16:49.

Front

What is the definition of congruent figures?

Back

Congruent figures are the same shape and same size.

Front

If a rectangle has a width of 4 in. and a height of 6 in., what is its area?

Back

Area = 4 in. × 6 in. = 24 in².