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 Introduction
 Lines
 Type of Lines
 Example of Lines
 Angles
 Type of Angles
 Example of Angles
 Lines andAngles are used in our daily life
 Lines andAngles are linked with each other
 Angles have different properties depends on
how the two lines are intersecting with each
other
 We require minimumTwo Points to draw a
Line
 Line can be extended through both the ends
 Line withTwo End Points is called Line-
Segment
 Line with One End Point is called Ray
 Line has No thickness and has only Length
 Three or more points lie on the same line are
calledCollinear Points
 There are two types of Lines :
Intersecting Lines
Non-Intersecting Lines [Parallel Lines]
The Lines which intersect each other at a point are
called Intersecting Lines.
Intersecting lines forms angles at their intersecting
point.
Example :
a) Fig. 1 shows two line intersecting and forming an angle
b) Fig. 2 shows two lines intersecting and forming an RightAngle, these type
of lines are called Perpendicular Lines.
If the distance between the two lines at each point
is same, then those lines are called Parallel Lines
Example:
The distance between Points A & C and B & D are
same
 An Angle is formed when two rays originate
from same end point.
 The Rays making an angle are called the arms
of Angle and the end points are calledVertex
of the angle.
 AcuteAngle
 Obtuse Angle
 Right Angle
 Straight Angle
 Reflex Angle
 Complementary Angles
 Supplementary Angles/Linear Pair
 Adjacent Angles
 Corresponding Angles
 Vertical Opposite angles
 Alternate Interior angles
 Alternate exterior angles
 The measure of an angle with a measure between
0° and 90° or with less than 90° radians.
 60° 48° 87°
 The measure of an angle with a measure of exact
90° is called Right Angle
90°
 This angle is formed by the perpendicular
intersection of two straight lines.
 The measure of an angle with a measure between 90°
and 180° or with more than 90° radians.
120° 168° 95°
 The measure of an angle with a measure of exact
180° is called Straight Angle
180°
 It looks like a straight line. It measures 180°
(half a revolution, or two right angles)
 The measure of an angle with a measure between
180° and 360° or with less than 360° radians.
 When two angles whose sum is 90° are called
complementary Angles.
 Angle ‘a’ and Angle ‘b’ are complementary
angles
 When two angles whose sum is 180° are called
Supplementary Angles or Linear Pair of Angles.
 Angle ‘a’ and Angle ‘b’ are Supplementary angles
and also they form Linear Pair.
 AdjacentAngles are formed when two angles
have
A common vertex
A common arm
The non-common arms are on different sides of
common arm
 A line that intersects two lines at different
points.
 The Angles that occupy the same relative
position at each intersection where a straight
line crosses two others.
 If the two lines are parallel, the corresponding
angles are equal.
 The Angles formed when two lines intersect
each other at a point.
 The vertically opposite angles are equal.
 Two angles that lie between two lines on opposite
sides of the transversal are Alternate interior angles.
 If the two lines are parallel, then Alternate interior
angles are equal.
 Two angles that lie outside two lines on opposite
sides of the transversal are Alternate exterior
angles.
 If the two lines are parallel, then Alternate exterior
angles are equal.
Lines & angles

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Lines & angles

  • 1.
  • 2.  Introduction  Lines  Type of Lines  Example of Lines  Angles  Type of Angles  Example of Angles
  • 3.  Lines andAngles are used in our daily life  Lines andAngles are linked with each other  Angles have different properties depends on how the two lines are intersecting with each other
  • 4.  We require minimumTwo Points to draw a Line  Line can be extended through both the ends  Line withTwo End Points is called Line- Segment  Line with One End Point is called Ray  Line has No thickness and has only Length  Three or more points lie on the same line are calledCollinear Points
  • 5.  There are two types of Lines : Intersecting Lines Non-Intersecting Lines [Parallel Lines]
  • 6. The Lines which intersect each other at a point are called Intersecting Lines. Intersecting lines forms angles at their intersecting point. Example : a) Fig. 1 shows two line intersecting and forming an angle b) Fig. 2 shows two lines intersecting and forming an RightAngle, these type of lines are called Perpendicular Lines.
  • 7. If the distance between the two lines at each point is same, then those lines are called Parallel Lines Example: The distance between Points A & C and B & D are same
  • 8.  An Angle is formed when two rays originate from same end point.  The Rays making an angle are called the arms of Angle and the end points are calledVertex of the angle.
  • 9.  AcuteAngle  Obtuse Angle  Right Angle  Straight Angle  Reflex Angle  Complementary Angles  Supplementary Angles/Linear Pair  Adjacent Angles  Corresponding Angles  Vertical Opposite angles  Alternate Interior angles  Alternate exterior angles
  • 10.  The measure of an angle with a measure between 0° and 90° or with less than 90° radians.  60° 48° 87°
  • 11.  The measure of an angle with a measure of exact 90° is called Right Angle 90°  This angle is formed by the perpendicular intersection of two straight lines.
  • 12.  The measure of an angle with a measure between 90° and 180° or with more than 90° radians. 120° 168° 95°
  • 13.  The measure of an angle with a measure of exact 180° is called Straight Angle 180°  It looks like a straight line. It measures 180° (half a revolution, or two right angles)
  • 14.
  • 15.  The measure of an angle with a measure between 180° and 360° or with less than 360° radians.
  • 16.  When two angles whose sum is 90° are called complementary Angles.  Angle ‘a’ and Angle ‘b’ are complementary angles
  • 17.  When two angles whose sum is 180° are called Supplementary Angles or Linear Pair of Angles.  Angle ‘a’ and Angle ‘b’ are Supplementary angles and also they form Linear Pair.
  • 18.  AdjacentAngles are formed when two angles have A common vertex A common arm The non-common arms are on different sides of common arm
  • 19.  A line that intersects two lines at different points.
  • 20.  The Angles that occupy the same relative position at each intersection where a straight line crosses two others.  If the two lines are parallel, the corresponding angles are equal.
  • 21.  The Angles formed when two lines intersect each other at a point.  The vertically opposite angles are equal.
  • 22.  Two angles that lie between two lines on opposite sides of the transversal are Alternate interior angles.  If the two lines are parallel, then Alternate interior angles are equal.
  • 23.  Two angles that lie outside two lines on opposite sides of the transversal are Alternate exterior angles.  If the two lines are parallel, then Alternate exterior angles are equal.