November 27, 2012
3.4 Perpendicular Lines
perpendicular bisector:
distance from a point to a line:
November 27, 2012
C
P
x-8
12
A
B
Name the segment that represents the distance from A to BC.
Write and solve an inequality for x.
November 27, 2012
Theorems:
1. If 2 lines intersect to form a linear pair of congruent
angles, then the lines are perpendicular.
2. Perpendicular Transversal Theorem:
If a transversal is perp. to one of two parallel lines, then
it is perp. to the other line.
n
p
3. If two lines are perp. to the same line, then
the lines are parallel to each other.
r
s
t
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m
Given: m
Prove:
1
n
2
n
1 and 2 are a linear pair of congruent angles
Statements
Reasons
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p
1
2
Given:
1 = 2
p q
Prove: p
r
q
r
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t
1 3
r
2
s
Statement
Given: r ll s
1 2
Prove: r
Reason
t