By Edward Burger, David J. Chard, Earlene J. Hall, Paul A. Kennedy, Steven J. Leinwand

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**Example text**

Find the distance around the earth at the equator. Use the π key on your calculator and round to the nearest mile. r Equator 27. Critical Thinking Explain how the formulas for the perimeter and area of a square may be derived from the corresponding formulas for a rectangle. 28. Find the perimeter and area of a rectangle whose length is (x + 1) and whose width is (x - 3). Express your answer in terms of x. ÝÊÊÎ 29. Multi-Step If the height h of a triangle is 3 inches less than the length of the base b, and the area A of the triangle is 19 times the length of the base, find b and h.

Y is between X and Z, XZ = 3, and XY = 1__ . Find YZ. 3 ÎÝÊÊ£ 3b. E is between D and F. Find DF. £Î ÈÝ _ The midpoint M of AB is the point that bisects , _ or divides, the segment into two congruent segments. If M is the midpoint of AB, then AM = MB. So if AB = 6, then AM = 3 and MB = 3. EXAMPLE 4 Recreation Application The map shows the route for a race. You are 365 m from drink station R and 2 km from drink station S. The first-aid station is located at the midpoint of the two drink stations.

Which postulate best describes this situation? Through any three noncollinear points there is exactly one plane. If two points lie in a plane, then the line containing them lies in the plane. If two lines intersect, then they intersect in exactly one point. If two planes intersect, then they intersect in exactly one line. 42. Gridded Response What is the greatest number of planes determined by four noncollinear points? CHALLENGE AND EXTEND Use the table for Exercises 43–45. Figure Number of Points 2 3 Maximum Number of Segments 1 3 4 43.