Unformatted text preview: ions, the wheel will cover 20(3π) or 60π feet. 5. (D) Area of rectangle = b · h = 36 Area of square = s2 = 36 Therefore, s = 6 and perimeter = 24 5. (C) radius of circle = 3 Area = πr2 = 9π www.petersons.com Geometry 225 Exercise 3
1. (A) Exercise 4
1. (A) Find the midpoint of AB by averaging the x coordinates and averaging the y coordinates. 6 + 2 2 + 6 2 , 2 = ( 4, 4 ) 2.
14 x = 140 x = 10 (C) O is the midpoint of AB.
x + 4 = 4, x = 0 y + 6 = 2, y = −4 The rectangle is 30′ by 40′. This is a 3, 4, 5 right triangle, so the diagonal is 50′. 2. (C) The altitude in an equilateral triangle is 1 always side ⋅ 3 .
2 x+4 =2 2 y+6 =1 2 A is the point (0, –4). 3. (A)
d= 3. (D) This is an 8, 15, 17 triangle, making the missing side (3)17, or 51. (8 − 4 )2 + (6  3)2 =
= 16 + 9 = 25 = 5 4 2 + 32 4. (D) Sketch the triangle and you will see it is a right triangle with legs of 4 and 3. 4. (A) The diagonal in a square is equal to the side times 2 . Therefore, the side is 6 and the perimeter is 24. (C)
Area = 1 1 ⋅b ⋅h = ⋅4 ⋅3 = 6 2 2 5. 5. (A) Area of a circle = πr2 r=4 πr2 = 16π Triangle ABC is a 3, 4, 5 triangle with all sides multiplied by 5. Therefore CB = 20. Triangle ACD is an 8, 15, 17 triangle. Therefore CD= 8. CB – CD = DB = 12. The point (4, 4) lies at a distance of (4 − 0)2 + (4 − 0)2 = 32 units from (0, 0). All the other points lie 4 units from (0, 0). www.petersons.com 226 Chapter 13 Exercise 5
1. (A) Angle B = Angle C because of alternate interior angles. Then Angle C = Angle D for the same reason. Therefore, Angle D = 30°. (D) Exercise 6
1. (D) Represent the angles as x, 5x, and 6x. They must add to 180°.
12 x = 180 x = 15 2. The angles are 15°, 75°, and 90°. Thus, it is a right triangle. 2. (D) There are 130° left to be split evenly between the base angles (the base angles must be equal). Each one must be 65°. (E) 3. Extend AE to F. ∠A = ∠EFC ∠CEF must equal 100° because there are 180° in a triangle. ∠ AEC is supplement...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at EmbryRiddle FL/AZ.
 Spring '10
 Colon
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