P. 402: 1-5, 9-13, 17-23 & 1.FG=HJ=10 and EJ=GJ=18, so diagonals bisect each other and EFGH is a...

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p. 402: 1-5, 9-13, 17- 23 & 1.FG=HJ=10 and EJ=GJ=18, so diagonals bisect each other and EFGH is a parallelogram. 2.mL=mQ=106 and mP=74, so one angle is supplementary to both consecutive angles and LKQP is a parallelogram. 3.Yes, both pairs of opp. angles are congruent so parallelogram. 4.No 5.Yes, since alt. interior angles are congruent the lines are parallel, therefore one pair of sides is both parallel and congruent.

Transcript of P. 402: 1-5, 9-13, 17-23 & 1.FG=HJ=10 and EJ=GJ=18, so diagonals bisect each other and EFGH is a...

Page 1: P. 402: 1-5, 9-13, 17-23 & 1.FG=HJ=10 and EJ=GJ=18, so diagonals bisect each other and EFGH is a parallelogram. 2.m  L=m  Q=106  and m  P=74 , so.

p. 402: 1-5, 9-13, 17-23 &1. FG=HJ=10 and EJ=GJ=18, so diagonals bisect

each other and EFGH is a parallelogram.2. mL=mQ=106 and mP=74, so one angle is

supplementary to both consecutive angles and LKQP is a parallelogram.

3. Yes, both pairs of opp. angles are congruent so parallelogram.

4. No5. Yes, since alt. interior angles are congruent

the lines are parallel, therefore one pair of sides is both parallel and congruent.

Page 2: P. 402: 1-5, 9-13, 17-23 & 1.FG=HJ=10 and EJ=GJ=18, so diagonals bisect each other and EFGH is a parallelogram. 2.m  L=m  Q=106  and m  P=74 , so.

9. BC=GH=16.6, CG=HB=28 ,so both pairs of opp. sides are congruent & BCGH is .

10. UV=WT=16.6, mV=85, mW=95, so V and W are supp. so UV ll WT. Since one pair of sides is both parallel and congruent TUVW is .

11. Both pairs of opp. sides are 12. Because alt int s ll. Since opp. sides

are ll 13. No17. No18. no

Page 3: P. 402: 1-5, 9-13, 17-23 & 1.FG=HJ=10 and EJ=GJ=18, so diagonals bisect each other and EFGH is a parallelogram. 2.m  L=m  Q=106  and m  P=74 , so.

19. Diagonals bisect each other .

20. a=16, b=14

21. a=16.5, b=23.2

22. a=7.25, b=6.5

23. a=8.4, b=20

Page 4: P. 402: 1-5, 9-13, 17-23 & 1.FG=HJ=10 and EJ=GJ=18, so diagonals bisect each other and EFGH is a parallelogram. 2.m  L=m  Q=106  and m  P=74 , so.

p. 412: 10-15, 18-3110. 2911. 2512. 2913. 14.514. 31.515. mVWX=132, mWYX=6618. m1=29, m2=61, m3=90, m4=29,

m5=9019. m1=54, m2=36, m3=54, m4=108,

m5=72

Page 5: P. 402: 1-5, 9-13, 17-23 & 1.FG=HJ=10 and EJ=GJ=18, so diagonals bisect each other and EFGH is a parallelogram. 2.m  L=m  Q=106  and m  P=74 , so.

20. m1=90, m2=45, m3=45, m4=45, m5=45

21. m1=126, m2=27, m3=27, m4=126, m5=27

22. m1=55, m2=55, m3=55, m4=70, m5=55

23. m1=64, m2=64, m3=26, m4=90, m5=64

24. A 25. S 26. S 27. S 28. A 29. A

30. A 31. S