Post on 05-Jan-2016
description
Def: line that do not intersect.
Illustration:
Notation: l || m AB || CD
lm
A
B
C
D
Examples of Parallel Lines
• Hardwood Floor
• Opposite sides of windows, desks, etc.
• Parking slots in parking lot
• Parallel Parking
Examples of Parallel Lines
• LINE A
LINE B
HERE LINE A and LINE B Are PARALLEL
Def: Lines that intersect to form a right angle.
Illustration:
Notation: m n
Key Fact: 4 right angles are formed.
m
n
Ex. of Perpendicular Lines• Window panes : The Window Panes
are • PERPENDICULAR to each other
Def: a line that intersects two lines at different points
Illustration:
t
Two angles that are opposite angles.
1 2
3 4
5 6
7 8
t
1 = 42 = 35 = 86 = 7
Find the measures of the missing angles
125
?
?
55
t
55
125
Two angles that form a line (sum=180)
1 2
3 4
5 6
7 8
t
5+6=1806+8=1808+7=1807+5=180
1+2=1802+4=1804+3=1803+1=180
Find the measures of the missing angles
? 72
?
t
108
108 180 - 72
Two angles that occupy corresponding positions.
Top Left
t
Top Left
Top Right
Top Right
Bottom Right
Bottom Right
Bottom Left
Bottom Left
1 = 52 = 63 = 74 = 8
1 2
3 4
5 6
7 8
Find the measures of the missing angles
145
?
t
35
145
Two angles that lie between parallel lines on opposite sides of the transversal t
3 = 64 = 5
1 2
3 4
5 6
7 8
Find the measures of the missing angles
82
?
t
98 82
Two angles that lie outside parallel lines on opposite sides of the transversal t
2 = 71 = 8
1 2
3 4
5 6
7 8
Find the measures of the missing angles
120
?
t
60 120
Two angles that lie between parallel lines on the same sides of the transversal t
3 +5 = 1804 +6 = 180
1 2
3 4
5 6
7 8
Find the measures of the missing angles
?
t
135
45
180 - 135
THANK YOU