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Name: _______________________________Date: _________________ Blocks:____________ Freshmen Geometry 266 Test: Chapter 8 Quadrilaterals Directions: Please show all work. Calculators are allowed. DO YOUR BEST. GOOD LUCK! Find the sum of the measure of the interior angles of each convex polygon. (2 points each) 1) 11-gon 2) hexagon Sum = ________ Sum = ________ 3) The measure of an interior angle of a regular polygon is 144o. Find the number of sides in this polygon. (2 points) 4) Find the measure of each interior and exterior angle of a regular 56-gon. (2 points) Interior = _________ Exterior = _________ Find the measure of EACH interior angle in the following polygons. For #6, draw a figure! (4 points each) 5) 6) 1 For #7-10 use parallelogram RSTU to find each measure or value. (2 points each) For #11-12 use rectangle RSTU below. (3 points each, #11-15) 15) Determine whether each quadrilateral is a parallelogram using the following methods. Justify your answer. For this problem, CHOOSE ONE (1) method to use. (4 points) a) P(-5,1), S(-2, 2), F(-1, -3), T(2, -2) Slope Formula; Distance and Slope Formula, OR Midpoint Formula 16) Determine whether quadrilateral BGHL is a rectangle given the following set of vertices. Justify your answer. (4 points) Hint: Start by either using slope OR using distance formula. B(-4, 5), G(6,0), H(3, -6), L(-7, -1) 17) Determine whether parallelogram BEFG is a rhombus, rectangle, or a square given the following set of vertices. List all that apply. Explain your reasoning. (4 points) B(-9, 1), E(2, 3), F(12, -2), G(1, -4) 18) RSTU is a quadrilateral with vertices R( -3, -3), S(5, 1), T(10, -2), U(-4, -9). (4 points total) a) Verify that RSTU is a trapezoid. b) Determine whether RSTU is an isosceles trapezoid. Explain. For # 20- 30 write true or false. (1 point each) 20) A rectangle is always a parallelogram. __________ 21) The diagonals of a rhombus are always perpendicular. __________ 22) The diagonals of a square always bisect each other. __________ 23) A trapezoid always has two congruent sides. __________ 24) The median of a trapezoid is always parallel to the bases. __________ 25) If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rectangle. _______ 26) Consecutive angles of a rectangle are complementary. __________ 27) A rhombus is always a square. __________ 28) A quadrilateral with two pairs of parallel sides is always a rectangle. __________ 29) If a quadrilateral is both a rhombus and a rectangle, then it is a square. __________ 30) A trapezoid is a quadrilateral with exactly one pair of parallel sides. __________ 33) Describe the main idea of this unit below. (1 point) ____________________________________________________________________________________ ____________________________________________________________________________________ ~ End of Test ~