SECTIONS 3.1 & 3.3TRANSVERSALS & ANGLES
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PARALLEL LINESWhat do you know about parallel lines?
How would you define parallel lines?
H G
D C
A B
E F
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SKEW LINES
H G
D C
A B
E F
Parallel lines (ll) – coplanar lines that do not intersect
l ll m
Skew lines – non-coplanar lines that do not intersect.
Parallel Planes – Two planesthat never intersect.
l m
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H G
D C
A B
E F
1. Line AB & Line DC are ____________
2. Line AB & Line EF are ____________
3. Line BC & Line AH are ____________
4. Plane ABC & Plane HGF are _________
5. Line AC & Line HG are ___________
A)Parallel
B)Skew
PRACTICE 4/13
INTERSECTING LINESWhen two lines intersect a number of angle
types are formed, Vertical Angles & Linear Pairs.
m
t
1 2
34
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Perpendicular Lines - Coplanar lines that intersect to form four right angles. (Symbol )
PERPENDICULAR LINES
m
hm h
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TRANSVERSALA transversal is a line, ray or segment that intersects two or more coplanar lines.
mt
g
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ANGLES FORMED BY A TRANSVERSAL
mt
g
1 2
34
5 6
78CORRESPONDING ANGLES
ALTERNATE INTERIOR
ALTERNATE EXTERIOR
CONSECUTIVE INTERIOR (SAME SIDE INTERIOR)
CONSECUTIVE EXTERIOR (SAME SIDE EXTERIOR)
INTERIORINTERIOR
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ANGLES FORMED BY A TRANSVERSAL & PARALLEL LINES
mt
g
1 2
34
CORRESPONDING ANGLES 1 5, 2 6, 3 7, 4 8
ALTERNATE INTERIOR 4 & 6, 3 & 5
ALTERNATE EXTERIOR 1 & 7, 2 & 8
CONSECUTIVE INTERIOR (SS INTERIOR) 4 & 5, 3 & 6
CONSECUTIVE EXTERIOR (SS EXTERIOR) 1 & 8, 2 & 7
5 6
78
INTERIOR
INTERIOR
m g| |
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PRACTICE
m
t
g
1 2
34
56
78
9 10
1211
1314
1516
h
m g| |
m4 = 125m14 = 85
10/13
2 17x m
t
g
65
PRACTICE
m g| |
11/13
MH12222222222222 2
EK12222222222222 2
GJH
In the diagram below, and are parallel lines
intersected by . What is the measure of ?
PF12222222222222 2
PRACTICE 12/13
HOMEWORK 3.1 & 3.3
P. 132 6 – 17
P. 146 8 – 26
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