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***THE NOTES***

Choose a word from the word bank to complete each sentence. Words will be used more than once. 1. A quadrilateral with two pairs of parallel sides is a Parallelogram 2. The opposite sides of a parallelogram are Congruent parallelogram 3. The opposite angles of a parallelogram are Congruent congruent supplementary bisect 4. The consecutive angles of a parallelogram are Supplementary 5. The diagonals of a parallelogram bisect each other. M Use parallelogram MATH to answer #6-8. 6. Name two pairs of congruent angles. LA = LH and ZMELT H T 7. Name four pairs of supplementary angles. Z H +LT. ZT+LA LA+LM and Z H + LM ASpelling counts! Type all answers lowercase. 1. A quadrilateral with two pairs of parallel sides is a i 2. The opposite sides of a parallelogram are i i 3. The opposite angles of a parallelogram are i i. 4. The consecutive angles of a parallelogram are i i 5. The diagonals of a parallelogram ' ' each other. Each word will be used once. Word bank: parallelogram, supplementary, congruent, bisect, parallel Only type numeric answer! Don't type any degree symbol or the word "degrees." If the measure of ZABC = 120, find the other missing pieces of information. D C 4 40 X 50 3 2 A B 1. mZADC = 2. mZDAB = 3. m41 = 4. m/2 = 5. m23 = 6. m24 =Solve for x. D 14 C A 2x+8 B x= [x]Solve for x and ZA and LB. D C (2x+20) (3x+10) A B 1. X= 2. mZA = 3. mLB = Good luck!Solve for x. D C (8x-6) A 980 B X=8. Name two pairs of congruent segments. M Find the missing angles and sides. Label them on THE PICTURES. 10. 'A 9n #0 Use parallelogram ABCD to answer the following questions. 13. If DX = 4 and AX = 6 find: D BX = 4 C BD = 8 6 XC = 6 6 AC = 12 A14. If myABC = 1209, find: D mZADO= 20 myDAB = 60 m 41 =20 m 43= 30 m 24: 40 A 60 Using the properties of parallelograms, write and solve an algebraic equation for each picture. 15. 14 16. 17. 2x420" 3x+10' 2x+1 Relationship( congruent or supplementary Relationship: congruent of supplementary Relationship congruentor supplementary Equation: Equation: Equation: 2x+8: 14 2 x120 + 3x + 10= 180 8x- 6 : 98 5x + 30= 180 8 x = 104 5x : 150 X = 3 x= 30 X= 13