 Geometry
Geo Metrian
(Earth) (Measures)
Plane:- A plane surface is surface which lies
evenly with the straight lines on itself.
Point:- A point is a geometrical figure which
has no dimensions. That means it has no
part.
Line:- A line is the collection of infinite number
of points and extends endlessly in both the
directions. A line is denoted by small letters as
l,m,n etc. (or) two capital letters like “AB” (It is
breadth less length)
Ray:- A part of a line with one end point is
called a ray. Ray AB is denoted by “AB”
A B
Linesegment:- A part of a line with two end
points is called line segment. (or)
It is the smallest distance between two points.
Line segment AB is denoted by AB.
A B
Angle:- The amount of rotation done by the
initial ray about its end vertex is called as
angle. A
o B
Zero angle:- Measures 0o . O B A
Acute angle:- Measures above 00 and below
900. B B
A 0 0 A
Right angle:- Measures exactly 900
Obtuse angle :- Measures above 900 and below
1800
Straight angle:- Measures exactly 1800 .
A O B
Reflex angle:- Measures above 1800 and below
3600 . o A
B
Complete angle:- Measures 3600 .
O B A
Parallel Lines:- Non intersecting line (or) lines
which has no common point are called
parallel lines. Perpendicular distance between
them will be same at any point.
Transversal:- The line intersecting another pair
of lines at two distinct points is called
transversal.
Angles made by the transversal on parallel
lines:-
Polygon is a simple closed figure made up of line
segments.
Examples:- Triangle, Quadrilateral, Pentagon
Hexagon, Heptagon, octagon etc.
Equilateral polygon:- A polygon in which all sides
are equal.
Example:- Equilateral triangle, Square, Rhombus
etc.
Equiangular polygon:- A polygon in which all its
interior angles are equal.
Example:- Equilateral triangle, square, rectangle
etc.
Regular polygon:- A polygon in which is both
the equilateral and equiangular is known as a
regular polygon.
Example:- Equilateral triangle, Square, Regular
pentagon etc.
Irregular Polygon:- A polygon in which angles
and sides are different.
Example:- Scalene Triangle, Trapezium etc.
Convex polygon:- A polygon in which each
of its interior angle measures below 1800 is
known as a convex polygon.
Example:- Triangle, Square, Rectangle etc.
Concave polygon:- A polygon in which one
of its interior angle is reflex angle is a
concave polygon.
A quadrilateral is a polygon made up of four
linesegments.
Four sides and four angles are the
elements/components/parts of the
quadrilateral.

Geometry.pptx

  • 2.
     Geometry Geo Metrian (Earth)(Measures) Plane:- A plane surface is surface which lies evenly with the straight lines on itself. Point:- A point is a geometrical figure which has no dimensions. That means it has no part. Line:- A line is the collection of infinite number of points and extends endlessly in both the directions. A line is denoted by small letters as l,m,n etc. (or) two capital letters like “AB” (It is breadth less length)
  • 3.
    Ray:- A partof a line with one end point is called a ray. Ray AB is denoted by “AB” A B Linesegment:- A part of a line with two end points is called line segment. (or) It is the smallest distance between two points. Line segment AB is denoted by AB. A B Angle:- The amount of rotation done by the initial ray about its end vertex is called as angle. A o B
  • 4.
    Zero angle:- Measures0o . O B A Acute angle:- Measures above 00 and below 900. B B A 0 0 A Right angle:- Measures exactly 900
  • 5.
    Obtuse angle :-Measures above 900 and below 1800 Straight angle:- Measures exactly 1800 . A O B Reflex angle:- Measures above 1800 and below 3600 . o A B Complete angle:- Measures 3600 . O B A
  • 6.
    Parallel Lines:- Nonintersecting line (or) lines which has no common point are called parallel lines. Perpendicular distance between them will be same at any point. Transversal:- The line intersecting another pair of lines at two distinct points is called transversal. Angles made by the transversal on parallel lines:-
  • 7.
    Polygon is asimple closed figure made up of line segments. Examples:- Triangle, Quadrilateral, Pentagon Hexagon, Heptagon, octagon etc. Equilateral polygon:- A polygon in which all sides are equal. Example:- Equilateral triangle, Square, Rhombus etc. Equiangular polygon:- A polygon in which all its interior angles are equal. Example:- Equilateral triangle, square, rectangle etc.
  • 8.
    Regular polygon:- Apolygon in which is both the equilateral and equiangular is known as a regular polygon. Example:- Equilateral triangle, Square, Regular pentagon etc. Irregular Polygon:- A polygon in which angles and sides are different. Example:- Scalene Triangle, Trapezium etc.
  • 9.
    Convex polygon:- Apolygon in which each of its interior angle measures below 1800 is known as a convex polygon. Example:- Triangle, Square, Rectangle etc. Concave polygon:- A polygon in which one of its interior angle is reflex angle is a concave polygon.
  • 10.
    A quadrilateral isa polygon made up of four linesegments. Four sides and four angles are the elements/components/parts of the quadrilateral.