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Geometry Chapter 8 Team Practice Name _________________________ 1. Consider the pentagon with line of symmetry. a. Find the sum of the angles of the pentagon 540o b. Find the value of x. 4x x c. Find the value of each angle. Top=304o, right & left = 38o bottom 2 = 80o 38 80° 2. Draw a regular hexagon with perimeter 42 feet. a. Find the sum of the exterior angles. b. What is the measure of each exterior angle? 360o 60o c. What is the sum of the interior angles? d. What is the measure of each interior angle? 720o 120o e. What is the measure of each side? 7 ft 3. The perimeter of a regular polygon is 120 feet. An exterior angle of the polygon measures 24°. a. Find the sum of the exterior angles. 360o b. How many sides does this polygon have? n = 15 c. What is the measure of each exterior angle? 24o d. What is the measure of each interior angle? 156o e. What is the sum of the interior angles? f. What is the measure of each side? 8 ft 2340o 2 5 3 2 , 2 6. Find the midpoint of segment AB given A(2,-3) and B(-5 2) 2 32 , 12 7. Find the perimeter and area of a right triangle with legs = 10 & 24. Draw and label first. A 12 (24)(10) 120un2 P 10 24 26 60un 4. Find x. Then find the value of each angle. Find the area of circle, sector, circumference & arc. 2 2 127 88 (5 x 3) (10 x 7) 360 Ac (12) 452.89un 41 15 x 360 225 Asec tor 452.89 360 51.52un2 x9 Cc (24) 75.40un o o 41 97 & 48 Carc 75.40 360 8.59un 5. A regular polygon has an interior angle of 135. How many sides does it have? 8 sides What is the name of this polygon? octagon What is the sum of the interior angles? 1080o 8. Given the rectangles at the below, What is the scale factor? (similarity ratio of the sides) SF 96 What is the ratio of the perimeters? SF 96 23 2 3 What is the ratio of the areas? ratio of areas 23 What is the ratio of the volumes? ratio of volumes 23 If the area of the large rectangle is 100 cm2, find the area of the smaller rectangle. Use a proportion x 4 9 100 to solve this problem. 44.4 44 94 un2 2 4 9 3 8 27 1. 105 118 75 130 x 540 x 112o 2. 130 132 130 130 138 138 x 900 x 102o 3.105 1080 72 x 360 x 75o 9.