# How are the perimeters of similar figures related?

## How are the perimeters of similar figures related?

Perimeters of Similar Figures of their perimeters is equal to the ratio of their corresponding side lengths.

## What is the formula for perimeter ratio?

The ratio of the perimeter to the area of a shape is simply the perimeter divided by the area.

How do you find the ratio of the perimeter of similar figures?

ratio of their perimeters is equal to the ratio of their corresponding side lengths. the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

### How do you find the ratio of the perimeter of two similar triangles?

In similar triangles, the ratio of their areas equals the square of the ratio of their sides. The ratio of their perimeters is 1:3 so the ratio of their sides and their altitudes will also be in the ratio of 1:3. Suppose that you did not know this. Let one triangle have sides a, b and c.

### How do you find the ratio of similar figures?

If two objects have the same shape, they are called “similar.” When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides. Are these ratios equal? Triangle ABC is similar to triangle DEF.

What is the ratio of the perimeter of two similar triangles?

This leads to the following theorem. Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b. Figure 2 Perimeter of similar triangles.

#### How do you find the ratio of the area of two similar figures?

The ratio of the area of two similar triangles is equal to the square of the ratio of any pair of the corresponding sides of the similar triangles. For example, for any two similar triangles ΔABC and ΔDEF, Area of ΔABC/Area of ΔDEF = (AB)2/(DE)2 = (BC)2/(EF)2 = (AC)2(DF)2.

#### What is a ratio of perimeters of two triangles?

In similar triangles, the ratio of their areas equals the square of the ratio of their sides. The ratio of their perimeters is 1:3 so the ratio of their sides and their altitudes will also be in the ratio of 1:3.

What is the area and perimeter of similar figures?

Area and perimeter of similar figures : Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.

## How do you find the ratio of the perimeters of similar triangles?

The perimeter of Δ ABC is 24 inches, and the perimeter of Δ DEF is 12 inches. When you compare the ratios of the perimeters of these similar triangles, you also get 2 : 1. This leads to the following theorem. Theorem 60: If two similar triangles have a scale factor of a : b, then the ratio of their perimeters is a : b.

## What is the ratio of perimeter to scale factor?

Ratio of Perimeters = Smaller Perimeter / Larger Perimeter As you can observe, the ratio of the perimeter is equal to the given scale factor. The lengths a, b, c, d of quadrilateral EFGH are 15, 6, 9, and 12, respectively.

What is the ratio of the area of two similar figures?

If two similar figures have a scale factor of a : b, then the ratio of their perimeters is a : b. If two similar figures have a scale factor of a : b, then the ratio of their areas is a2 : b2.