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 Introduction
 Angles in daily life
 Basic terms and definition
 Points
 Intersecting lines and non intersecting lines
 Angles
 Parallel lines and a transversal
 In Maths geometry, the lines and angles are
important tools. If any object in ideal ,that is
called as line and it is represented as
straight curve .
 The angles is related with lines that is the
cross section of two lines is create the angle
and intersection point is called as vertex .
Here we see about types of lines and angle
in Maths .
 lines : a straight path extending in both
directions with no endpoints
 Line segment : a part of a line that includes
two points, called endpoints, and all the
points between them.
 Ray : a part of a line , with one endpoint, that
continues without end in one direction
 Intersecting lines : lines that cross
 Non intersecting lines : lines that never cross
and are always the same distance apart.
 An exact point or location
 Hardwood floor
 Opposite sides of windows, tables, etc.
 Parking slots in parking lot
 Parallel parking
 Streets
 Two lines that intersect to form four right
angles
 Window panes
 Streets of cities
 In geometry, an angle is the figure formed by
two rays sharing a common endpoint, called
the vertex of the angle. The magnitude of the
angle is the “amount of rotation “ that
separates the two rays, and can be
measured by considering the length of
circular arc swept out when one ray is
rotated about the vertex to coincide with the
other .
 Acute angle
 Right angle
 Obtuse angle
 Straight angle
 Reflex angle
 Adjacent angles
 Linear pair
 Vertically opposite angle
 The measure of an angle with a measure
between 0 degree and 90 degree with less
than 90 degree radians.
 An angle formed by the perpendicular
intersection of two straight lines; an angle of 90
degree
 Angle measure greater than 90 degree but
less than 180 degree.
 A straight angle changes the direction to point
the opposite way. It looks like a staight line. It
measures 180 degree
 A reflex angle is more than 180 but less than
360 degree
 In geometry adjacent often shortened as adj. are
angles that have a common ray coming out of the
vertex going between two other rays. In other words
they are that are side by side or adjacent.
A pair of adjacent angle formed by intersecting
lines. Linear pairs of angles are supplementary.
 In geometry a pair of angle is said to be vertical if
the angles are formed from two intersecting lines
and the angles are not adjacent . They all share a
vertex . Such angles are equal in measure and can
be described as congurent.
 TRANSVAERSAL : A transversal or a line
that intersects two or more coplanar lines
each at a different point, is a very useful line
in geometry. Transversal tell us a great deal
about angles.
 Parallel lines: parallel lines remain the same
distance apart over their length . No matter
how far you extend them, they will never
meet
 Corresponding angles
 Alternate interior angles
 Alternate exterior angles
 Interior angles on the same side of the
transversal
 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.
 When two parallel lines are cut by a transversal,
the two pairs of angles on opposite sides of the
transversal and outside the parallel lines and the
angles in each pair arecongurent .
 Interior angles on the same side of the transversal
are also referred to as consecutive interior angles
or allied angles or co-interior angles. Further,many
a tines, we simply use the words alternate angles
for alternate interior angles.
 THANK YOU FOR WATCHING

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Lines and angles

  • 1.
  • 2.  Introduction  Angles in daily life  Basic terms and definition  Points  Intersecting lines and non intersecting lines  Angles  Parallel lines and a transversal
  • 3.
  • 4.  In Maths geometry, the lines and angles are important tools. If any object in ideal ,that is called as line and it is represented as straight curve .  The angles is related with lines that is the cross section of two lines is create the angle and intersection point is called as vertex . Here we see about types of lines and angle in Maths .
  • 5.  lines : a straight path extending in both directions with no endpoints  Line segment : a part of a line that includes two points, called endpoints, and all the points between them.  Ray : a part of a line , with one endpoint, that continues without end in one direction
  • 6.  Intersecting lines : lines that cross  Non intersecting lines : lines that never cross and are always the same distance apart.
  • 7.  An exact point or location
  • 8.  Hardwood floor  Opposite sides of windows, tables, etc.  Parking slots in parking lot  Parallel parking  Streets
  • 9.  Two lines that intersect to form four right angles
  • 10.  Window panes  Streets of cities
  • 11.  In geometry, an angle is the figure formed by two rays sharing a common endpoint, called the vertex of the angle. The magnitude of the angle is the “amount of rotation “ that separates the two rays, and can be measured by considering the length of circular arc swept out when one ray is rotated about the vertex to coincide with the other .
  • 12.  Acute angle  Right angle  Obtuse angle  Straight angle  Reflex angle  Adjacent angles  Linear pair  Vertically opposite angle
  • 13.  The measure of an angle with a measure between 0 degree and 90 degree with less than 90 degree radians.
  • 14.  An angle formed by the perpendicular intersection of two straight lines; an angle of 90 degree
  • 15.  Angle measure greater than 90 degree but less than 180 degree.
  • 16.  A straight angle changes the direction to point the opposite way. It looks like a staight line. It measures 180 degree
  • 17.  A reflex angle is more than 180 but less than 360 degree
  • 18.  In geometry adjacent often shortened as adj. are angles that have a common ray coming out of the vertex going between two other rays. In other words they are that are side by side or adjacent.
  • 19. A pair of adjacent angle formed by intersecting lines. Linear pairs of angles are supplementary.
  • 20.  In geometry a pair of angle is said to be vertical if the angles are formed from two intersecting lines and the angles are not adjacent . They all share a vertex . Such angles are equal in measure and can be described as congurent.
  • 21.  TRANSVAERSAL : A transversal or a line that intersects two or more coplanar lines each at a different point, is a very useful line in geometry. Transversal tell us a great deal about angles.
  • 22.  Parallel lines: parallel lines remain the same distance apart over their length . No matter how far you extend them, they will never meet  Corresponding angles  Alternate interior angles  Alternate exterior angles  Interior angles on the same side of the transversal
  • 23.  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.
  • 24.  When two parallel lines are cut by a transversal, the two pairs of angles on opposite sides of the transversal and outside the parallel lines and the angles in each pair arecongurent .
  • 25.  Interior angles on the same side of the transversal are also referred to as consecutive interior angles or allied angles or co-interior angles. Further,many a tines, we simply use the words alternate angles for alternate interior angles.
  • 26.  THANK YOU FOR WATCHING