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Lines And Angles
By
Agraj Garg
Class :- IX – D
Roll Number :- 3
Angles in daily life
If we look around us, we will see angles everywhere.
Terms And Definition
RAY: A part of a line, with one endpoint, that continues
without end in one direction.
LINE: A straight path extending in both directions with no
endpoints.
LINE SEGMENT: A part of a line that includes two
points, called endpoints.
Intersecting Lines And Non
Intersecting Lines
Intersecting Lines : Lines that have one and
only one point in common are known as
intersecting lines
Non Intersecting lines : Lines that never cross
and are always the same distance apart.
Perpendicular lines
Two lines that intersect to form four right angles.
Angles
1. Acute Angle 9. Corresponding Angles
2. Right Angle 10. Alternate Interior Angle
3. Obtuse Angle 11. Alternate Exterior Angle
4. Straight angle
5. Reflex Angle
6. Adjacent Angles
7. Linear Pair Of Angles
8. Vertically Opposite Angles
Angles are formed by two rays that begin at the same point or share
the same endpoint. The angle measures the amount of turn between the
two arms and is usually measured in degrees or radians. Where the
two rays intersect (come together to meet) is called the vertex. The two
rays are sometimes referred to as the arms.
Acute Angles
The angle with a measure between 0° and 90°
Right angle
An angle formed by the perpendicular intersection of
two straight lines; an angle of 90°.
Obtuse Angle
Angle measures greater than 90 degrees but less than
180 degrees.
Straight Angle
A straight angle changes the direction to point
the opposite way. It looks like a straight line. It
measures 180° (half a revolution, or two right
angles)
Reflex Angle
A Reflex Angle is more than 180° but less than
360°
Adjacent Angles
Two angles are Adjacent if they have a common side and a
common vertex (corner point), and don't overlap.
Linear Pair Of Angles
A pair of adjacent angles formed by intersecting lines. Linear pairs
of angles are supplementary.
Vertically opposite Angle
Vertical Angles are the angles opposite each other when two lines cross.
Corresponding Angles
When two lines are crossed by another line (which is called the
Transversal), the angles in matching corners are called corresponding
angles.
Alternate Interior Angle
When two lines are crossed by another line (which is called the
Transversal), the pairs of angles on opposite sides of the transversal but
inside the two lines are called Alternate Interior Angles.
Alternate Exterior Angle
When two lines are crossed by another line (which is called the
Transversal), the pairs of angles on opposite sides of the transversal but
outside the two lines are called Alternate Exterior Angles.
Parallel Lines And Transversal
Transversal :- A line that intersects two or more lines
Parallel Lines :- Parallel lines remain the same distance apart over
their entire length. No matter how far you extend them, they will never
meet.
Thank
You

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Lines and Angles

  • 1. Lines And Angles By Agraj Garg Class :- IX – D Roll Number :- 3
  • 2. Angles in daily life If we look around us, we will see angles everywhere.
  • 3. Terms And Definition RAY: A part of a line, with one endpoint, that continues without end in one direction. LINE: A straight path extending in both directions with no endpoints. LINE SEGMENT: A part of a line that includes two points, called endpoints.
  • 4. Intersecting Lines And Non Intersecting Lines Intersecting Lines : Lines that have one and only one point in common are known as intersecting lines Non Intersecting lines : Lines that never cross and are always the same distance apart.
  • 5. Perpendicular lines Two lines that intersect to form four right angles.
  • 6. Angles 1. Acute Angle 9. Corresponding Angles 2. Right Angle 10. Alternate Interior Angle 3. Obtuse Angle 11. Alternate Exterior Angle 4. Straight angle 5. Reflex Angle 6. Adjacent Angles 7. Linear Pair Of Angles 8. Vertically Opposite Angles Angles are formed by two rays that begin at the same point or share the same endpoint. The angle measures the amount of turn between the two arms and is usually measured in degrees or radians. Where the two rays intersect (come together to meet) is called the vertex. The two rays are sometimes referred to as the arms.
  • 7. Acute Angles The angle with a measure between 0° and 90°
  • 8. Right angle An angle formed by the perpendicular intersection of two straight lines; an angle of 90°.
  • 9. Obtuse Angle Angle measures greater than 90 degrees but less than 180 degrees.
  • 10. Straight Angle A straight angle changes the direction to point the opposite way. It looks like a straight line. It measures 180° (half a revolution, or two right angles)
  • 11. Reflex Angle A Reflex Angle is more than 180° but less than 360°
  • 12. Adjacent Angles Two angles are Adjacent if they have a common side and a common vertex (corner point), and don't overlap.
  • 13. Linear Pair Of Angles A pair of adjacent angles formed by intersecting lines. Linear pairs of angles are supplementary.
  • 14. Vertically opposite Angle Vertical Angles are the angles opposite each other when two lines cross.
  • 15. Corresponding Angles When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.
  • 16. Alternate Interior Angle When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but inside the two lines are called Alternate Interior Angles.
  • 17. Alternate Exterior Angle When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but outside the two lines are called Alternate Exterior Angles.
  • 18. Parallel Lines And Transversal Transversal :- A line that intersects two or more lines Parallel Lines :- Parallel lines remain the same distance apart over their entire length. No matter how far you extend them, they will never meet.