Perpendicular Bisector Theorem: Theorems Distance and perpendicular Bisectors
THEOREM
HYPOTHESIS CONCLUSION
5-1-1 Perpendicular Bisector
Theorem
If a point is on the perpendicular
bisector of a segment, then it is
equidistant from the endpoints
A
XAX
B
of the segment.
XY A
YAY8
2 claus como
5-1-2 Converse of the Perpendicular
Bisector Theorem
If a point is equidistant from
the endpoints of a segment
then it is on the perpendicular
bisector of the segment.
XY A
YAY
ХАХВ
Examples:
1) YW =
2) BC
3) PR-
w
B
ts
36
P
Q
73
D
2n +9
7n - 18
16
С
36
х
R
4) Given that line I is the perpendicular bisector
of DE and EG = 14.6, then DG
5) Given that DE = 20.8, DG = 36.4, and E
EG 36.4, then EF-
.