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LINES AND ANGLES
PARALLEL LINES
Def : line that do not intersect.
Illustration:
Notation: l || m AB || CD
l
m
A
B
C
D
p. 129
Examples of Parallel Lines
• Streets: Home & School
Def: Lines that intersect to form a right angle.
Illustration:
Notation: m  n
Key Fact: 4 right angles are formed.
PERPENDICULAR LINES
m
n
p. 79
Transversal
 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   4
2   3
5   8
6   7
SUPPLEMENTARY ANGLES/
LINEAR PAIR
• Two angles that form a line (sum=180)
1 2
3 4
5 6
7 8
t
5+6=180
6+8=180
8+7=180
7+5=180
1+2=180
2+4=180
4+3=180
3+1=180
CORRESPONDING ANGLES
Two angles that occupy corresponding positions.
Top Left
t
Top Left
Top Right
Top Right
Bottom Right
Bottom Right
Bottom Left
Bottom Left
1   5
2   6
3   7
4   8
1 2
3 4
5 6
7 8
Alternate Interior Angles
 Two angles that lie between parallel lines on opposite
sides of the transversal
t
3   6
4   5
1 2
3 4
5 6
7 8
Alternate Interior Angles
 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   7
1   8
1 2
3 4
5 6
7 8
 Find the measures of the missing angles
Alternate Exterior Angles
120 
?
t
60  120 
• Two angles that lie between parallel lines on the same
sides of the transversal
t
3 +5 = 180
4 +6 = 180
1 2
3 4
5 6
7 8
p. 131 & 143
BY
HEMANTH YOSHIKA

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Lines and angles

  • 2. PARALLEL LINES Def : line that do not intersect. Illustration: Notation: l || m AB || CD l m A B C D p. 129
  • 3. Examples of Parallel Lines • Streets: Home & School
  • 4. Def: Lines that intersect to form a right angle. Illustration: Notation: m  n Key Fact: 4 right angles are formed. PERPENDICULAR LINES m n p. 79
  • 5. Transversal  Def : a line that intersects two lines at different points  Illustration: t
  • 6.  Two angles that are opposite angles. 1 2 3 4 5 6 7 8 t 1   4 2   3 5   8 6   7
  • 7. SUPPLEMENTARY ANGLES/ LINEAR PAIR • Two angles that form a line (sum=180) 1 2 3 4 5 6 7 8 t 5+6=180 6+8=180 8+7=180 7+5=180 1+2=180 2+4=180 4+3=180 3+1=180
  • 8. CORRESPONDING ANGLES Two angles that occupy corresponding positions. Top Left t Top Left Top Right Top Right Bottom Right Bottom Right Bottom Left Bottom Left 1   5 2   6 3   7 4   8 1 2 3 4 5 6 7 8
  • 9. Alternate Interior Angles  Two angles that lie between parallel lines on opposite sides of the transversal t 3   6 4   5 1 2 3 4 5 6 7 8
  • 10. Alternate Interior Angles  Find the measures of the missing angles 82  ? t 98  82 
  • 11.  Two angles that lie outside parallel lines on opposite sides of the transversal t 2   7 1   8 1 2 3 4 5 6 7 8
  • 12.  Find the measures of the missing angles Alternate Exterior Angles 120  ? t 60  120 
  • 13. • Two angles that lie between parallel lines on the same sides of the transversal t 3 +5 = 180 4 +6 = 180 1 2 3 4 5 6 7 8 p. 131 & 143