5.1 Practice B Perpendicular Bisectors and Angle Bisectors
Name
Date
Use the figure for #1-2.
1. Given that line m is the perpendicular bisector of
FH and EH = 100, find EF.
m
2.Given that EF = 13, FH = 10, and EH = 13, find GH.
Use the figure for #3-6.
3. Given that line p is the perpendicular bisector of
XZ and XY = 15.5, find ZY.
4. Given that XZ = 38, YX = 27, and YZ = 27.
find zw.
5. Given that line p is the perpendicular bisector of XZ; XY = 4n,
and YZ = 14, find n.
6. Given that XY=ZY, WX = 6x-1, and XZ = 10x + 16, find ZW.
Use the figure for Exercises #7-8.
7.Given that JL bisects ZKJM and KL = 42, find ML.
8. Given that KL = 4 and ML = 4 and mZMJL = 40°, find
mZKIL
Use the figure for Exercises #9-12.
9. Given that FG = HG and mZFEH= 56°, find
mZGEH.
10. Given that EG bisects ZFEH and GF = V2, find GH.
11. Given that ZFEG GEH, FG = 10z - 30, and
HG = 7z+6, find FG
12. Given that GF - GH, mZGEF = 8a, and mZGEH=24, find a