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Wednesday, July 8, 2015

Definition of Geometrical Shapes


a)      Rectangle: A rectangle is any quadrilateral with four right angles. The properties of rectangle are:
i)                    All the angles are equal.
ii)                   Alternate sides are equal.
iii)                 It’s axis are symmetry bisect opposite sides.
iv)                 Diagonals are equal in length.
v)                  It’s perimeter is 2(L+B) and area is LxB
b)      Square: Square is defined as a rectangle in which two adjacent sides have equal length. It has four edges and vertices. The internal angles is 900.The perimeter is 4L and area is L2
c)       Triangle: A triangle is one of the basic shapes in geometry: a polygon with three corners or vertices and three sides or  edges which are line segments. There are different types of triangle such as right triangle, equilateral triangle, acute triangle, isosceles triangle, obtuse triangle, oblique triangle and scalene triangle. It has three edges and vertices. The internal angle is 600 in equilateral triangle.
d)      Parallelogram: A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite of facing sides of a parallelogram are of equal length and the opposite angles of parallelogram are of equal measure. It is a type of quadrilateral. It has four edges and vertices. It’s area can be calculated by multiplying its base and height.
e)      Rhombus: A rhombus is a  simple quadrilateral whose four sides all have the same length. The properties of the rhombus are:
i)                    All sides are equal
ii)                   Alternate angles are equal
iii)                 Its axis of symmetry bisect opposite angles.
iv)                 Diagonals intersect at equal angles.
v)                  It has four edges and vetices.
vi)                 It is a dual polygon of a rectangle.
vii)               It’s property is convex.
f)       Circle: A circle is a simple shape of Euclidean geometry that is the set of  all points in a plane that are  given distance from a given point, the center. A circle can be defined as the curve traced out by a point that moves so that its distance from a given point is constant. The name of parts are:
i)                    Arc
ii)                   Center
iii)                 Chord
iv)                 Circumference
v)                  Diameter
vi)                 Radius
vii)               Secant
viii)              Sector
ix)                 Segment
x)                  Semicircle
xi)                 Tangent
g)      Sphere: A sphere is a perfectly round geometrical and circular object in three dimensional spaces such as the shape of a round ball.
h)      Cones: A cone is an n-dimensional geometric shape that tapers smoothly from a base to a point called the apex or vertex.  The axis of a cone is that the straight line, passing through the apex, about which the base has a rotational symmetry.
i)        Cylinders: Cylinder is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given line segment, the axis of the cylinder.
j)        Prisms: In geometry, a prism is  a polyhedron with an n-sided polygonal base, a translated copy and other faces joining corresponding sides of the two bases.
k)      Cube: In geometry, a cube is a three dimensional solid object bounded by six squares faces or sides, with three meeting at each vertex. The cube can also be called as a regular hexahedron is one of the five platonic solids.
l)        Pentagon: In geometry, a pentagon is any five-side polygon. A pentagon may be simple or self-intersecting. The sum of the internal angles in a simple pentagon is 5400.
m)    Hexagon: A hexagon is a polygon with six edges and six vertices. The total of the internal angles of any hexagon is 7200. A regular hexagon has all sides of the same length and all internal angles of 1200.
n)      Heptagon: A heptagon is a polygon with seven sides and seven angles. In a regular heptagon, in which all sides and all angles are equal, the sides meet at  an angle of 5∏/7 radians.
o)      Octagon: A regular octagon is a closed figure with sides of the same length and internal angles of the same size. It has eight lines of reflective symmetry and rotational symmetry of order .The internal angle of each vertex of a regular octagon is 1350 and the sum of all internal angle is 10800.
p)      Diameter: The diameter of the circle is the straight distance from one outside curved surface through the center point to the opposite outside curved surface.
q)      Radius: The radius of a circle is the distance from the center point to the outside curved surface. The radius is half of the diameter and is used to set the compass when drawing a diameter.
r)       Central angle: A central angle is an angle formed by the two radial lines from the center of the circle.
s)       Sector: A sector is the area of a circle lying between two radical lines and the circumference.
t)       Quadrant: A quadrant is a sector with a central angle of 900 and usual with one of the radial lines oriented horizontally.
u)      Chord: A chord is any straight line whose opposite ends terminate on the circumference of the circle.
v)      Segment: A segment is the smaller portion of  a circle separated by a chord.
w)    Concentric circles: Concentric circles are two or more arce’s with a common central point.
x)      Eccentric circles: Eccentric circles are two or more circles without a common center point.
y)      Semi-circle: A semicircle is half of the complete circle.
z)       Angle: An angle is formed by the intersection of two lines. There are three major kinds of angles: right angles, acute angles and obtuse angle.
aa)   Equilateral triangle: An equilateral triangle is a triangle in which all the three sides are equal. Each angle is of 600.
bb)  Isosceles triangle: An isosceles triangle is a triangle with two equal sides. An isosceles triangle has two equal angles.These two equal angles are base angles.
cc)    Scalene triangle: The triangle without any side or angle equal is called scalene triangle.
dd)  Right triangle: The triangle whose one angle is 900 is right triangle.
ee)  Right angle: The angle which is exactly 900 is right angle.
ff)     Acute angle: The angle which is less than 900 is acute angle.
gg)   Obtuse angle: The angle which is more than 900 is obtuse angle.
hh)  Complementary angle: The sum of angle which is 900 is complementary angle.

ii)       Supplementary angle: The sum of angle which is 1800 is supplementary angle.

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