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.
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 .
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.