HW
5.1
Perpendicular Bisectors HW
Name ____________________________
Date __________________ Period ____
For 1-2, tell whether the information in the diagram allows you to conclude that C is on the
perpendicular bisector of AB . Explain why or why not.
1)
2)
E
For 3, JN is the perpendicular bisector of MK .
3) a) Find JK.
b) Find MN.
c) Is L on JP ? Explain your reasoning.
For 4-6, complete the following sentences with always, sometimes, or never.
4) The perpendicular bisectors of a right triangle ______________ intersect inside the triangle.
5) The perpendicular bisectors of an acute triangle ______________ intersect outside the triangle.
6) The perpendicular bisectors of an obtuse triangle ______________ intersect inside the triangle.
For 7-10, use the diagram shown. E is the circumcenter of  ABC .
A
7) Mark your diagram so that E is the circumcenter.
(Don’t forget to draw the circle.)
D
E
8) DA  _________
9) If AD = 6, what is DB?
B
F
C
10) Since A, B, and C are vertices of the ∆, and E is
the circumcenter, BE  _________ and _________.
11) The perpendicular bisectors of ABC meet at point G.
A
a) Mark your diagram so G is the ______________
b) Don’t forget your _____ outside
c) Find GA
12
E
G
13
C
d) Find GE
B
e) Find EC