Properties of Quadrilaterals

Answer each of the following questions about quadrilaterals. JAMS is a parallelogram. m∠A = 40. m∠M = 140m∠J = 140m∠S = 40 BRIA is a rectangle. AN = 5. NR = x - 3. x = 8NR = 5BI = 10 CRIS is a rhombus. CS = 14. m∠CTS = 2x. x = 45SI = 14CR = 14 JERM is a square. ER = 5. m∠EJM = 3x - 9. x = 33JM = 5m∠EYR = 90 AMBE is anisosceles trapezoid. m∠A = 108. m∠M = 108m∠B = 72m∠E = 72 KYLE is a parallelogram. YL = 12. YB = 13. m∠YKE = 50. m∠KYL = 130EK = 12EY = 26 ALEX is a rectangle. AX = 7. EN = 12.5. m∠XAL = 4x + 2. x = 22EL = 7XL = 25 ERIK is a rhombus. RL = 9. m∠ILK = 9 + 9x. m∠EKI = 25. x = 9KR = 18m∠IRE = 25m∠RIK = 155 Use square ABCD and the given information to find each value. If m∠AEB = 3x, find x. x = 30If m∠BAC = 9x, find x. x = 5If AB = 2x + 4 and CD = 3x - 5, find BC. BC = 22If m∠DAC = y and m∠BAC = 3x, find x and y. x = 15y = 45 Use rhombusABCD and the given information to find each measure. m∠BCE = 31m∠BEC = 90AC = 24m∠ABD = 59AD = 14 Given rhombusABCD, find the following. x = 24m∠BCF = 39m∠ABC = 102 GivenrectangleABCD, find the following measures. m∠DAH = 52m∠ABD = 38m∠DHC = 104m∠HCB = 52HB = 10AC = 20BC = 12m∠ADC = 90 Given rhombus PLAN. Answer each of the following: What type of triangle is ΔPLA? isoscelesWhat type of triangle is ΔPEN? isoscelesIs ΔPEN ≅ ΔAEL? yesIs it true that PA ≅ NL? no Always, sometimes or never?A parallelogram is a trapezoid. always sometimes never Always, sometimes or never?A square is a parallelogram. always sometimes never Always, sometimes or never?A quadrilateral is a parallelogram. always sometimes never