Determine whether the statement is sometimes, always, or never

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					Name______________________________                                       Date ___________
                                                                              Geometry, L2
Per. __                                                                      Chapter 6 Test

Determine whether the statement is sometimes, always, or never true.

      1. Diagonals of a parallelogram are perpendicular.


      2. Opposite sides of a rectangle are congruent.


      3. Consecutive angles of a rhombus are supplementary.


      4. Diagonals of a square are congruent.


      5. A trapezoid is a parallelogram.


Refer to rectangle EFGH.
  E                                F
      2 1                  6
                               5


                    D
                7
                    8
                                                        8. If ED = 12 find HF

      3
                           4
  H                                G


      6. If m  4 = 35, find m  8




                                                        9. If m  1 = 20 find m  6 and
      7. If m  1 = x + 12 and                             m  5.
         m  2 = 3x – 7, find the value of
         x.




Chapter 6                                       1                                         Test
Geometry, L2                                                          Mr. Johnson


Refer to rhombus RSTV.
     S              T




                W




            R             V




   10. If m  RST = 67, find m  RSW         12. If m  SWT = 2x + 8, find x.




   11. Find m  SVT if m  STV =             13. What is the value of x if
       135.                                      m  WRV = 5x + 5 and
                                                 m  WRS = 7x – 19?




Refer to isosceles trapezoid CDMN.                 C                   D

   14. If DN = 3y + 5 and CM = 5y – 9,
       find y and DN.

                                               N                             M



                                             16. If m  CNM = 88, find
                                                 m  NCD.
   15. If CM = 12, ND = 2x + 6, and
       CN = 3x, find x and DM.


                                             17. If m  CDM = 6x + 16 and
                                                 m  NCD = 8x – 24, find x.




Chapter 6                                2                                       Test
Geometry, L2                                                                    Mr. Johnson


For questions 18 – 21, refer to parallelogram ACFG.
                                                                       A                         C
     18. If m  GAC = 112, find m  GFC.
                                                                                X



                                                                   G                      F


     19. If m  AGF = a + 20 and m  CAG = 2a + 10, find m  CAG.




     20. If AG = 2x + 10 and CF = 5x – 2, find the value of x.




     21. If AF = 8y + 6 and XF = 2y + 7, find the value of y.




     22. Given that ABCD is a trapezoid and EF is a median, find the value of x.

     A    4x - 1      B


             60           F
 E


C           6x + 11            D




                                                                                      B

BONUS: Given that ABCD is a rhombus, AC = 24, BD = 10, find CD.
                                                                            A                        C




                                                                                      D




BONUS: If AB = x2 – x and CD = 12.




Chapter 6                                    3                                            Test