5.1
Activity:
wax paper
markers
rulers
1. Draw AB
2. Fold paper so that A is on B.
3. Label the intersection, M, and a point, C, on the fold.
Questions:
1. What is true?
Perpendicular Bisector:
segment that is perpendicular and bisects a segment
Activity - cont.
4. Measure CA and CB. What do you notice?
5. Put a point, P, anywhere on CM. Measure PA and PB. What do
you notice?
Perpendicular Bisector Theorem:
Any pt. on the perp. bis. of a seg is equidistant to the endpts.
of the seg.
Converse: If a pt. is equidistant from the endpts of a seg, then it is
on the perp. bis.
Activity:
wax paper
marker
ruler
1. Draw
ABC.
2. Fold paper so that BA is on BC.
Question:
1. What is true?
3. Put a pt, P, on the angle bisector.
4. Measure the distance from P to BA and from P to BC.
Question:
1. What is true?
The distance between a point and a line is the length of the
perp. seg. to the line.
Angle Bisector Theorem:
If a pt. is on the bisector of an angle, then it is equidistant from
the sides of the angle.
Converse: If a pt. is equidistant from the sides of an angle, then it
lies on the angle bisector.
locus: set of points that satisfies some given condition
What is the locus of points in a plane that are
equidistant from the endpoints of a segment?
What is the locus of points in a plane that are equidistant
from the sides of an angle?
1. Find MN.
N
2. Find BC.
B
D
3x+9
7x-17
C
M
L
A
3. Find BC.
4. Find m MKL
K
E
3a + 20
H
F
G
2a + 26
L
J
M