p.56 Ch. 1 Test Answer KEY

1. true

2. false

3. false

4. false

5. false

6. HJ + JK = HK        7. AB + BC = AC            8. XY + YZ = XZ
    HJ + 30 =  52               7  +  BC = 18                  26 + 45  = XZ
     HJ        =  22                       BC = 11                        71   = XZ

       __                          ___                            __
9. √10 = 3.2        10. √122 = 11.0        11. √58 = 7.6

12. 3 + x = 9  ,    9 + y = 7
         2                   2    
      x  = 15     ,       y = 5
So, the missing endpoint is located at (15, 5).

13. CM = MD                   CM + MD = CD
      CM = 27                        27  + 27  =  CD
                                                    54    = CD

14. 125^o; obtuse

15. m<KHL + m<LHJ = m<KHJ
        8x - 1   + 4x + 7  =  90
                    12x + 6   =  90
                            12x  = 84
                                x  = 7
So, m<LHJ = 4(7) + 7
                   = 35

16. 154^o / 2 = 77^o; both angles are 77^o

17. <1 and <2; <2 and <3; <3 and <4; <4 and <1

18.  <1 and <3; <2 and <4

19.  x + 64 = 90
        x        = 26^o

        y + 64 = 180
            y     = 116^o

20. Draw a concave 10-gon (a.k.a. decagon). The following is one of many possible examples:

Draw a convex 5-gon. Below is one of many examples. ; pentagon