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Prepared by: 
SHRITI GOYAL 
IX – E 
Roll no. 33
 An exact location 
 It has no size, only position
Definition: When three or more points lie on a straight 
line. 
Illustration: 
Notation: ABCD is a line. 
Real life example: Cars parked in a straight line.
Definition: A line: 
o is straight, 
o has no thickness, and 
o extends in both directions without end. 
Illustration: A B 
Notation: AB is a line. It can be extended to any 
length.
Definition: 
Illustration: A B 
Notation: AB is a line segment with end points A 
and B. 
Real life examples: window panes are 
surrounded by line segments all around
Definition: A line with a start point but no end 
point. 
Illustration: 
A 
Notation: A is the starting point but there is no 
ending point. 
Real life examples: A torch radiating light.
Definition: lines that intersect to form right 
angles. m 
Illustration: 
n 
Notation: m n 
Key fact: Four right angles are 
formed.
Real
Definition: A line that intersects two lines at 
different points. t 
Illustrations: m 
n 
Real life example: 
Window pane
 It is a rotation of a line having starting but no 
ending points. 
Angles can be of many of many types:: 
 Basic angles 
 Adjacent angles
Definition: Two angles are Adjacent when they 
have a common side and a common vertex and 
don't overlap. A 
Illustration: B 
D C 
Notation: ADB is adjacent to BDC 
> as they have a common vertex (D) 
> and a common line (BD)
Defination: Two angles which are opposite to one 
another. 
Illustration: 1 2 
3 4 
5 6 
7 8 
Notation: Accordance to angle >>> 2 = 3 
1 = 4 
6 = 7 
5 = 8
Definition: Two lines that form a line. 
Illustration: 
1 2 
3 4 
5 6 
7 8 
Notation: Accordance to angles >>> 1 + 2 = 180 
3 + 4 = 180 
5 + 6 = 180 
7 + 8 = 180
Definition: Two angles that occupy corresponding 
position. 
Illustration: 1 2 
3 4 
5 6 
7 8 
Notation: 1 = 5 
2 = 6 
3 = 7 
4 = 8
Definition: Two angles that lie between parallel 
lines on opposite sides of the transversal. 
Illustration: 
1 2 
3 4 
Notation: 1 = 4 
2 = 3
Definition: Two angles that lie outside the parallel 
lines on opposite sides of the transversal. 
Illustration: 
1 2 
3 4 
Notation: 1 = 4 
2 = 3
Definition: Two angles that lie inside the parallel 
lines on the same sides of the transversal. 
Illustration: 
1 2 
3 4 
Notation: 1 + 4 = 180 
2 + 3 = 180
Lines and angles

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Lines and angles

  • 1. Prepared by: SHRITI GOYAL IX – E Roll no. 33
  • 2.  An exact location  It has no size, only position
  • 3. Definition: When three or more points lie on a straight line. Illustration: Notation: ABCD is a line. Real life example: Cars parked in a straight line.
  • 4. Definition: A line: o is straight, o has no thickness, and o extends in both directions without end. Illustration: A B Notation: AB is a line. It can be extended to any length.
  • 5. Definition: Illustration: A B Notation: AB is a line segment with end points A and B. Real life examples: window panes are surrounded by line segments all around
  • 6. Definition: A line with a start point but no end point. Illustration: A Notation: A is the starting point but there is no ending point. Real life examples: A torch radiating light.
  • 7.
  • 8. Definition: lines that intersect to form right angles. m Illustration: n Notation: m n Key fact: Four right angles are formed.
  • 10. Definition: A line that intersects two lines at different points. t Illustrations: m n Real life example: Window pane
  • 11.  It is a rotation of a line having starting but no ending points. Angles can be of many of many types::  Basic angles  Adjacent angles
  • 12.
  • 13. Definition: Two angles are Adjacent when they have a common side and a common vertex and don't overlap. A Illustration: B D C Notation: ADB is adjacent to BDC > as they have a common vertex (D) > and a common line (BD)
  • 14. Defination: Two angles which are opposite to one another. Illustration: 1 2 3 4 5 6 7 8 Notation: Accordance to angle >>> 2 = 3 1 = 4 6 = 7 5 = 8
  • 15. Definition: Two lines that form a line. Illustration: 1 2 3 4 5 6 7 8 Notation: Accordance to angles >>> 1 + 2 = 180 3 + 4 = 180 5 + 6 = 180 7 + 8 = 180
  • 16. Definition: Two angles that occupy corresponding position. Illustration: 1 2 3 4 5 6 7 8 Notation: 1 = 5 2 = 6 3 = 7 4 = 8
  • 17. Definition: Two angles that lie between parallel lines on opposite sides of the transversal. Illustration: 1 2 3 4 Notation: 1 = 4 2 = 3
  • 18. Definition: Two angles that lie outside the parallel lines on opposite sides of the transversal. Illustration: 1 2 3 4 Notation: 1 = 4 2 = 3
  • 19. Definition: Two angles that lie inside the parallel lines on the same sides of the transversal. Illustration: 1 2 3 4 Notation: 1 + 4 = 180 2 + 3 = 180