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The earth is relatively small with limited resources to support a
certain number of people for a given period of time. Natural resources
occur naturally with in environments. Natural resources is often
characterised by amount of biodiversity and geodiversity existent in
various ecosystem. Any material which is part of earth and satisfy
human need and add value is called resources.
Example: rocks, minerals, soil, rivers, plants and animals
Geometry is a branch of mathematics. We can see that the beauty of geometry
in our nature. So that a mathematics teacher can teach geometry with the
help of in our daily life situations. A geometrical shape which may be
either two dimensional or three dimensional.
Symmetry is when one shape becomes exactly like another if we flip, slide or turn it. Mathematical symmetry may be observed with respect to the passage of time; as a spatial relationship; through geometric transformations such as scaling, reflection, and rotation; through other kinds of functional transformations; and as an aspect of abstract objects, models, language, music and even knowledge itself.
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Geometrical shape
A geometric shape is the geometric information which remains when location, scale, orientation and reflection are removed from the description of a geometric object. That is, the result of moving a shape around, enlarging it, rotating it, or reflecting it in a mirror is the same shape as the original, and not a distinct shape.
Objects that have the same shape as each other are said to be similar. If they also have the same scale as each other, they are said to be congruent.
Many two-dimensional geometric shapes can be defined by a set of points or vertices and lines connecting the points in a closed chain, as well as the resulting interior points. Such shapes are called polygons and include triangles, squares, and pentagons.
A polygon is a plane (2D) shape with straight sides.
To be a regular polygon all the sides and angles must be the same:
Triangle - 3 Sides
Square - 4 Sides
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Pentagon - 5 Sides
Hexagon - 6 sides
Heptagon - 7 Sides
Octagon - 8 Sides
Nonagon - 9 Sides
Decagon - 10 Sides
Other Common Polygons
Quadrilateral
Rectangle - 4 Sides
Other shapes may be bounded by curves such as the circle or the ellipse.
Curved Shapes
These 2D shapes have curves, so are not polygons:
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Circle - Side
Ellipse - Side
Many three-dimensional geometric shapes can be defined by a set of vertices, lines connecting the vertices, and two-dimensional faces enclosed by those lines, as well as the resulting interior points. Such shapes are called polyhedrons and include cubes as well as pyramids such as tetrahedrons.
Polyhedra :
(they must have flat
faces)
Cubes and
Cuboids
Platonic Solids
Prisms
Pyramids
Other three-dimensional shapes may be bounded by curved surfaces, such as the ellipsoid and the sphere.
From the nature we say that earth, sun and moon are sphere in three
dimensionally but in the figure they are circle in two dimensionally.
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We can see that the geometrical shapes in nature as follows
The word symmetry is derived from Greek word “symmetria” which means “agreement in dimensions, due proportion arrangement"
[syn together + Metron- measure]
Symmetry in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, that an object is invariant to a transformation, such as reflection but including other transforms too. Mathematical symmetry may be observed with respect to the passage of time; as a spatial relationship;
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through geometric transformations such as scaling, reflection, and rotation; through other kinds of functional transformations; and as an aspect of abstract objects, theoretic models, language, music and even knowledge itself. The most familiar type of symmetry for many people is geometrical symmetry. A geometric figure (object) has symmetry if there is an "operation" or "transformation" (technically, an isometry) that maps the figure/object onto itself; i.e., it is said that the object has an invariance under the transform.
For instance, a circle rotated about its center will have the same shape and size as the original circle-all points before and after the transform would be indistinguishable.
Symmetry is when one shape becomes exactly like another if we flip, slide or
turn it. The simplest symmetry is Reflection Symmetry (sometimes
called Line Symmetry or Mirror Symmetry). It is easy to see, because one half is the reflection of the other half.
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Natural resources is often characterised by amount of biodiversity and
geodiversity existent in various ecosystem. Any material which is part of
earth and satisfy human need and add value is called resources.
Geometry is a branch of mathematics. A geometric shape is the geometric information which remains when location, scale, orientation and reflection are removed from the description of a geometric object. That is, the result of moving a shape around, enlarging it, rotating it, or reflecting it in a mirror is the same shape as the original, and not a distinct shape. Geometrical shape may be of two dimensional or three dimensional.
Symmetry in everyday language refers to a sense of harmonious and beautiful proportion and balance. Symmetry is when one shape becomes exactly like
another if we flip, slide or turn it. The simplest symmetry is Reflection
Symmetry (sometimes called Line Symmetry or Mirror Symmetry). It is easy
to see, because one half is the reflection of the other half.
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1. http://www.mathsisfun.com/geometry/symmetry-reflection.html 2. http://en.wikipedia.org/wiki/Symmetry 3. http://en.wikipedia.org/wiki/Geometric_Shapes