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Unit 3– Quadrilaterals Review for Final Exam True/False • A diagonal is a line segment in a polygon that connects any two vertices. True/False • If the sum of the lengths of two consecutive sides of a kite is 48 cm, then the perimeter of the kite is 96 cm. True/False • If the vertex angles of a kite measure 48° and 36°, then the nonvertex angles each measure 138°. True/False • The diagonals of a rectangle are perpendicular bisectors of each other. True/False • A trapezoid is a quadrilateral having exactly one pair of parallel sides. True/False • A polygon with ten sides is a decagon. True/False • A square is a rectangle with all the sides equal in length. True/False • A pentagon has five sides and six diagonals. True/False • Any two consecutive sides of a kite are congruent. True/False • If a polygon has two pairs of parallel sides then it is a parallelogram. True/False • The diagonals of a parallelogram are congruent. True/False • The measure of each angle of a regular dodecagon is 150°. True/False • If the sum of the measures of the interior angles of a polygon is less than 1000°, then the polygon has fewer than 7 sides. True/False • The sum of the measures of one set of exterior angles of a polygon is always less than the sum of the measures of the interior angles. True/False • Both pairs of base angles of an isosceles trapezoid are supplementary. True/False • The diagonals of a rhombus bisect the angles of the rhombus. True/False • If the diagonals of a quadrilateral are congruent, but only one is the perpendicular bisector of the other, then the quadrilateral is a kite. True/False • If the diagonals of a quadrilateral are congruent and perpendicular then it is a square. True/False • The consecutive angles of a rectangle are congruent and supplementary. True/False • The diagonals of a rectangle bisect the angles. True/False • A square is a rhombus with all angles congruent. True/False • Every rhombus is a square. True/False • It is not possible for a trapezoid to have three congruent sides. True/False • Every square is a rectangle. True/False • A diagonal divides a square into two isosceles right triangles. True/False • Opposite angles in a parallelogram are always congruent. Always/Sometimes/Never • An equilateral polygon is equiangular. Always/Sometimes/Never • The diagonals of a kite are perpendicular bisectors of each other. Find the angle measures of x and y. One exterior angle of a regular polygon measures 10°. - What is the measure of each interior angle? - How many sides does the polygon have? Find the measures of a, b and c. Find the measures of x and y. In the diagram below, the line segment with a measure of 29 is the midsegment of the trapezoid. Find the measures of x, y and z. Given: ABCD is a parallelogram and Prove: AC and PQ bisect each other QC AP Given: Quadrilateral SOAP with SP POA and SP OA Prove: SOAP is a parallelogram P S A O