Perimeter and Area Ratios for Similar Polygons

Front

What is the definition of perimeter?

Back

Perimeter is the total distance around the outside of a polygon, calculated by adding the lengths of all its sides.

Front

What is the definition of area?

Back

Area is the measure of the space inside a two-dimensional shape, calculated in square units.

Front

How do the perimeters of similar polygons compare?

Back

The ratio of the perimeters of similar polygons is equal to the ratio of their corresponding side lengths.

Front

How do the areas of similar polygons compare?

Back

The ratio of the areas of similar polygons is equal to the square of the ratio of their corresponding side lengths.

Front

If the ratio of the side lengths of two similar polygons is 1:2, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 1:2.

Front

If the ratio of the side lengths of two similar polygons is 1:2, what is the ratio of their areas?

Back

The ratio of their areas is 1:4.

Front

What is the formula for the area of a rectangle?

Back

Area = length × width.

Front

What is the formula for the area of a triangle?

Back

Area = 1/2 × base × height.

Front

What is the formula for the area of a circle?

Back

Area = π × radius².

Front

How do you calculate the perimeter of a hexagon?

Back

Perimeter = sum of the lengths of all six sides.