Download Aim: What are Perpendicular Lines?

Aim: What are Perpendicular
Lines? What are bisectors?
Do Now:
AB | | CD
E
List as many angle pairs
that are supplementary as
possible.
1
A
2
3
B
4
5
6
7
C
8
D
F
Aim: Perpendicular Lines
Course: Applied Geometry
P
e
r
p
e
n
d
L ines
c
u
l
a
r
Two lines that intersect to
form four right angles are
perpendicular lines.
l
p
l  p
l
90o 90o
90o 90o
Aim: Perpendicular Lines
p
Course: Applied Geometry
P
e
r
p
e
n
d
L ines
c
u
l
a
r
Perpendicular bisector
l
l  AB
A
E
B
AE  EB
To bisect means to divide
into two congruent parts.
What is the another name
for point E on line AB?
Midpoint
How many perpendicular bisectors
Perpendicular
Lines
Course: Applied
1 Geometry
doesAim:
a line
segment
have?
B
C
A
O
What type of angle is BOA?
900 - right angle
If mBOC  mCOA, what are the
measures of the angles?
450 each
What would you call OC?
Angle bisector
Aim: Perpendicular Lines
Course: Applied Geometry
Model Problem
D
A
3 2
B
1
O
C
OA  OB, and OD  OC
If m3 = 28, find m 1.
Aim: Perpendicular Lines
Course: Applied Geometry
Model Problem
D
B
E
A
C
AB  AE , and AD  AC
If mBAC = 160, find m DAE.
Aim: Perpendicular Lines
Course: Applied Geometry
If AD  AB and AC is the angle bisector of
DAB. Find the value of x if the measure
of CAB is 3x + 12.
C
D
3x + 12
A
B
mDAB is 900 since AD is perpendicular to AB
mCAB is 450 since AC bisects DAB
mCAB = 3x + 12 = 45; x = 11
Aim: Perpendicular Lines
Course: Applied Geometry
Aim: Perpendicular Lines
Course: Applied Geometry