1999 Geometry State Finals 1. The measure of each interior angle of a regular polygon is eight times that of an exterior angle of the polygon. How many sides does the polygon have? a. 20 b. 17 c. 18 d. 16 e. 19 2. A rectangle is divided into four rectangles with areas 45, 25, 15, and x. Find x. a. 23 b. 27 25 45 c. 30 d. 32 x 15 e. None of these 3. The side of a square is the same length as the altitude of an equilateral triangle. Find k if the area of the square is k times the area of the triangle. a. 2 b. 3 c. 2 2 d. 2 3 e. 3 2 4. The minute hand of a courthouse clock measures 12 feet. How far, measured in feet, does the tip of the hand travel in 25 minutes? a. 7o ft. b. 5o ft. c. 8o ft. d. 12o ft. e. 10o ft. 5. How many different chords are determined by n distinct points lying on a circle? 2 ( ) ( ) a. n n - 3 b. n n + 3 c. n - 3 2 n - n 2 d. e. n + 3 2 6. Given with the following dimensions: and . What lengths are DABC AB = 10 m BC = 21 m possible for side ? AC a. b. c. 12 m [ AC [ 30 m 11 m [ AC [ 31 m 12 m <><><><>
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