✓ Lesson Check
Do you know HOW?
The figures in each pair are similar. What is the ratio of the perimeters and the ratio of the areas?
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- In Exercise 2, if the area of the smaller triangle is about
- The areas of two similar rhombuses are
Do you UNDERSTAND?
- Reasoning How does the ratio of the areas of two similar figures compare to the ratio of their perimeters? Explain.
- Reasoning The area of one rectangle is twice the area of another. What is the ratio of their perimeters? How do you know?
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Error Analysis Your friend says that since the ratio of the perimeters of two polygons is
- Compare and Contrast How is the relationship between the areas of two congruent figures different from the relationship between the areas of two similar figures?
Practice and Problem-Solving Exercises
A Practice
See Problem 1.
The figures in each pair are similar. Compare the first figure to the second. Give the ratio of the perimeters and the ratio of the areas.
See Problem 2.
The figures in each pair are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.
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Area of smaller parallelogram
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Area of larger trapezoid
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs