PPT on lines and angles for

1. M.Sc in Applied Mathematics(B.U)

2. LINES AND ANGLES
 INTRODUCTION
 BASIC TERMS AND DEFINITION
 INTERSECTING LINES AND NON-
INTERSECTING LINES
 PARALLEL AND PERPENDICULAR LINES
 ANGLES

3. INTRODUCTION
 In 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 angle is related with line that is the
cross section of two lines is create the angle
and that intersection point is called vertex.

4. BASIC
TERMS AND
DEFINITION
• LINE – A straight path
extending in both
directions with no
endpoints.
•LINE SEGMENT – A part
of a line includes two end
points and all the points
between them.
•RAY- A part of a line with
one endpoint , that
continues without end in
one direction.

5. INTERSECTING AND NON-
INTERSECTING LINES
 INTERSECTING
LINES – Lines that
cross
 NON-INTERSECTING
LINES – Lines that
never cross and are
always the same
distance apart

6. PARALLEL AND PERPENDICULAR
LINES
 PARALLEL LINES –
Two lines that never
cross
PERPENDICULAR
LINES – two lines
that intersect to form
four right angles

7. ANGLES
 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
others.

8. TYPES OF ANGLES
There are so many types of angles. Such as:
 ACUTE ANGLE
 OBTUSE ANGLE
 RIGHT ANGLE
 STRAIGHT ANGLE
 REFLEX ANGLE
 ADJACENT ANGLE
 LINEAR PAIR OF ANGLES
 COMPLEMENTARY AND SUPPLEMENTARY
ANGLES

9. ACUTE AND OBTUSE ANGLE
 ACUTE ANGLE -The measure of an angle with a
measure between 0° and 90° or with less than 90°
 OBTUSE ANGLE – Angle measures greater than 90°
but less than 180°.

10. RIGHT AND STRAIGHT ANGLES
 RIGHT ANGLE – an angle formed by the
perpendicular intersection of two straight lines; an
angle of 90°.
 STRAIGHT ANGLE –a straight
angle changes the direction to point the opposite
way and it measures 180°

11. REFLEX ANGLE
 An angle is more than 180° but less than
360° is called reflex angle.

12. ADJACENT ANGLES
 Two angles are adjacent when they have a common
side and a common vertex(corner point), and don’t
overlap.
 Here B is the common vertex and BC
is the common side which are not
overlap.

13. LINEAR PAIR OF ANGLES
 A pair of adjacent angles formed by intersecting lines.
Linear pairs of angles are supplementary.

14. COMPLEMENTARY AND
SUPPLEMENTARY ANGLES
 If the sum of the two angles are 90° then it is
called complementary angles.
‹A + ‹B = 90°
 If the sum of the two angles are 180° then it
is called supplementary angles.
‹A + ‹B = 180°

15. THANK YOU