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Geometry Name: _________________ Date: __________________ Parallelogram Worksheet I. Complete each statement. 1. In a parallelogram, opposite sides are _________________ and _________________. 2. In a parallelogram, consecutive angles are _________________. 3. In a parallelogram, diagonals _________________ each other, which means they split each other in _________________. II. Complete each statement, using Parallelogram DCBA D 4. If AD = 20, then BC = ______ C 2 1 5. If AB = 13, then DC = ______ E 6. If DB = 22, then DE = ______ 7. If AE = 18, then AC = ______ 4 3 8. If m∠ADC = 115o, then m∠ABC = ______ o A B o 9. If m∠DAB = 75 , m∠ADC = ______ 10. If m∠1 = 30 , then m∠4 = ______ 11. If m∠AED= 72o, m∠DEC = ______ 12. If m∠ADC= 130o, and m∠1= 35o, m∠2= _____ 13. If AC = 30 and AE = 3x + 3, 14. If DC = 6x + y, BC = 3x + 2y, AB = 25, then x = _____ and AD = 14, then x = _____ and y = _____ III. Find the missing measurements of Parallelogram ADCB. A 15. CD = _____ 16. DA = _____ 17. AC = _____ 18. DB = _____ 19. CE = _____ 20. DE = _____ D 13 E 10 12 47° 72° 21. m∠ABC = ______ 22. m∠BCE = ______ 23. m∠BCD = ______ 24. m∠ADC = ______ 25. m∠BAD = ______ 26. m∠CDE = ______ 27. m∠EDA= ______ 28. m∠DAE = ______ 29. m∠EAB = ______ 30. m∠AEB= ______ 31. m∠BEC = ______ 32. m∠CED = ______ 33. m∠DEA = ______ B 23° 22 C Name: Period: Practice Worksheet: How do you use properties of parallelograms to solve problems? Find the value of each variable in the parallelogram. 1. 2. 3. 4. 5. 6. Date: