Idiot\'s Guides Basic Math and Pre-Algebra

Check Point Answers 313

6. 
   

   If m’X = 174r, then ’X is a(n) obtuse
   angle.

   
   


7. 
   

   If m’T = 38r, then ’T is a(n) acute angle.

   
   


8. 
   

   If ’X and ’Y are supplementary, and
   m’X = 174r, then m’Y = 6r

   
   


9. 
   

   If ’R and ’T are complementary, and
   m’T = 38r, then m’R = 52r

   
   


10. 
    

    Lines PA and RT intersect at point Y. If
    m’PY R = 51r, then m’RYA = 129r and
    m’TYA = 51r.

    
    


11. 
    

    M is the midpoint of segment PQ. If PM =
    3 cm, MQ = 3 cm and PQ = 6 cm.

    
    


12. 
    

    H is the midpoint of XY. If XY = 28 inches,
    then XH = 14 inches.

    
    


13. 
    

    Ray AH bisects ’CAT. If m’CAT = 86r,
    then m’HAT = 43r

    
    


14. 
    

    If m’AXB = 27r and m’BXC = 27r, then
    XB bisects ’AXC.

    
    


15. 
    

    m’PYQ = 13r, m’QY R = 12r, m’RYS = 5r,
    and m’SYT = 20r. True or False: YR
    bisects ’PY T. m’PY R = 13r + 12r = 25r.
    m’RYT = 5r + 20r = 25r

    
    


16. 
    

    ’PXY and ’XYT are a pair of alternate
    interior angles.

    
    


17. 
    

    ’AXQ and ’XYT are a pair of
    corresponding angles.

    
    


18. 
    

    If m’XYT = 68r, then m’PX A = 112r

    
    


19. 
    

    If m’PXY = 107r, then m’RYB = 107r

    
    


20. 
    

    If ABPQ, then m’XYR = 90r

    
    


21. 
    

    Line a is parallel to line b. Both have slopes
    of -3.
    22. RT is perpendicular to PQ. Slopes are
    negative reciprocals:^3
    5

    
    

5

3

  1.

23. Line p and line q are neither parallel nor
    perpendicular.


24. mXY^62
    74

8

3



 , mWZ

 



48

02

6.

Line XY and line WZ are neither parallel

nor perpendicular.

25. The line 3x – 2y = 12 has slope =^3
    2
    and the
    line 2x + 3y = 12 has slope =^2
    3

. The lines

are perpendicular.

Chapter 13

1. m’S = 180r – (48r + 102r) = 30r


2. m’TSQ = 48r + 102r = 150r


3. m’TSQ = 150r, m’TRP = 132r, and
   m’STN = 78r
   The total of m’TSQ + m’TRP + m’STN
   = 150r + 132r + 78r = 360r.


4. Placidville is 43 miles from Aurora, and
   Aurora is 37 miles from Lake Grove. The
   distance from Placidville to Lake Grove is
   greater than 6 miles and less than 80 miles.


5. Gretchen lives 5 miles from the library
   and 2 miles from school. The distance from
   the library to school is between 3 miles and
   7 miles.


6. 'RST is isosceles with RS = ST. If m’SRT
   = 39r, then m’STR = 39r


7. In right triangle 'ABC, m’A = 90r – 19r =
   71 r.