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Big Ideas Math: Modeling Real Life, Grade 8

BI

Big Ideas Math: Modeling Real Life, Grade 8 View details

7. Perimeters and Areas of Similar Figures

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Exercise 6 Page 85

The ratio of the areas is the same as the ratio of the corresponding side lengths squared.

16/225

Practice makes perfect

Let's start by considering the given similar figures.

Similar triangles: The red one has a side of 4 units, and the corresponding side of the blue triangle is 15 units.

In the given similar figures, the lengths of two corresponding sides are 4 and 15. Therefore, we can say that the ratio between the corresponding side lengths is 4 15. In similar figures, the ratio of the areas is the same as the ratio of the corresponding side lengths squared.

Ratio of Corresponding Side Lengths	4/15
Ratio of Areas	4^2/15^2 ⇔ 16/225

Subchapter links

Try It p.84-85

Self-Assessment for Concepts & Skills p.85

Self-Assessment for Problem Solving p.86

Review & Refresh p.87

Concepts, Skills, & Problem Solving p.87-88