Chapter 2: TransformationsSection 2.6: Perimeters and Areas of Similar Figures

Quote of the Day• “Everybody’s a genius, it’s just a matter of whether you love

yourself enough to admit it to yourself and fly with whatever your area of genius is.”• Orlando Mcguire

Do Now• On separate sheet of paper.• Answers:

• 1. Perimeter: 32 in. Area: 63 inches squared• 2. Perimeter: 60 cm. Area: 225 cm squared• 3. Perimeter: 12 cm. Area: 6 cm squared• 4. Perimeter: 48 in. Area: 130 inches squared

Today’s Objectives• Students will find ratios of perimeters and areas.• Students will use proportions to find perimeters and areas.

Key Idea• Perimeters of similar figures:• When two figures are similar, the ratio of their perimeters is

equal to the ratio of their corresponding side lengths.

Example 1

Key Idea• Areas of similar figures:• When two figures are similar, the ratio of their areas is equal to

the square of the ratio of their corresponding side lengths.

Example 2

Example 3