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Chapter 5 Study Guide Name ______________________ Period ____________ Geometry Chapter 5 Study Guide Date_________ Properties of Parallelograms If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If the diagonals of a quadrilateral bisect each other , then the quadrilateral is a parallelogram. For numbers 1-7, Quadrilateral SPQR is a parallelogram. 1) If m 1 = 33, m 2 = 62, then m 5 = _____. 2) If SV = 10, then VQ = _____. 3) If PV = 13, then VR =_____. 4) If PQ = 20, then SR = _____. 5) If QR = 17, then PS = _____. 6) If m 1 = 30 and m 2 = 60, then the m PQR = _____. 7) If PS = 26 and QR = 2x, then x = _____. 1 Chapter 5 Study Guide Rectangle A quadrilateral with four right angles is a rectangle. A rectangle is a parallelogram because both pairs of opposite angles are congruent. Rhombus A quadrilateral with four congruent sides is a rhombus. A rhombus is a parallelogram because both pairs of opposite sides are congruent. Square A quadrilateral with four right angles and four congruent sides is a square. A square is a parallelogram, and a rectangle, and a rhombus. For numbers 8-12, Quad. WXYZ is a rectangle. Complete. 8) If WY = 19, the ZX = _____. 9) If WY = 19, then WT = _____. 10) If TX = 4.5, then WY = _____. 11) If WY = 3a + 16 and ZX = 5a- 18, then a = _____. 12) If m TWZ = 70, then m TZW = _____ and m WTZ = _____. For numbers 13- 18, ABCD is a rhombus. Please complete. 13) If AD = 13, then AB = _____. 14) If m 4 = 25, then m 5 = _____. 15) If m DAB = 130, the m 16) If m 4 = 3x -2 and m 17) If m 1 = 5x + 18 and m 18) If m 2 = 3y +9 and m ADC = _____. 5 = 2x + 7 then x = _____. 5 = 3x – 8, then x = _____. 4 = 2y – 4, then y = _____. 2 Chapter 5 Study Guide For numbers 19- 23, Quad. JETS is a square. Please complete. 19) If EJ = 12, then ET = ______ and TS = ______. 20) If EN = 8 then NS = ______. 21) If JT = 18, then ES = _____, JN = ______, NS = ______. 22) m EJS = _____ and m EJN = _____. 23) All the number angles are all congruent, each angle has a measure of _____. Trapezoid A quadrilateral with exactly one pair of parallel sides is a trapezoid. The parallel sides are called bases. The other are called legs. Median of a Trapezoid The segment that joins the midpoints of the legs of the trapezoid is the median. 24) Find x. 3

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