MATHEMATICAL ASPECTs FOUND IN ENVIRONMENTal PHENOMENA CONGRUENCE SIMILARITY

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MATHEMATICAL ASPECTs FOUND IN ENVIRONMENTal PHENOMENA

MATHEMATICAL ASPECTs FOUND IN ENVIRONMENTal PHENOMENA

CONGRUENCE SIMILARITY RATIO AND PROPORTION GEOMETRIC SHAPES SYMMETRIC PROPERTY

CONGRUENCE SIMILARITY RATIO AND PROPORTION GEOMETRIC SHAPES SYMMETRIC PROPERTY

INTRODUCTION � Mathematics is a study of universal phenomena. The mathematical mind develops in

INTRODUCTION � Mathematics is a study of universal phenomena. The mathematical mind develops in contact with the environment. Nature is innately mathematical, and she speaks to us in mathematics. We can see many mathematical aspects in our environment. Some of them are congruency, similarity, ratio and proportion, geometric shapes and symmetric property.

CONGRUENCE Congruence means the quality or state of agreeing, coinciding or being congruent. Objects

CONGRUENCE Congruence means the quality or state of agreeing, coinciding or being congruent. Objects that are exactly the same size and shapes are said to be congruent. Congruent objects are duplicate of one another.

EXAMPLES FOR CONGRUENCE

EXAMPLES FOR CONGRUENCE

SIMILARITY Similarity means the sate of being similar; likeness, resemblance. Similar figures are related

SIMILARITY Similarity means the sate of being similar; likeness, resemblance. Similar figures are related to one another in the same way as a lantern slide and its projection on a screen.

EXAMPLES FOR SIMILARITY

EXAMPLES FOR SIMILARITY

RATIO AND PROPORTION Ratio is the number which gives the relation of a certain

RATIO AND PROPORTION Ratio is the number which gives the relation of a certain quantity. When four terms are so related that the ratio of the first to the second is the same as the ratio f the third to fourth , they are said to be in proportion.

EXMAPLES OF RATIO AND PROPORTION

EXMAPLES OF RATIO AND PROPORTION

GEOMETRIC SHAPES Geometry is the study of properties of shapes , for example circle

GEOMETRIC SHAPES Geometry is the study of properties of shapes , for example circle , triangle , squares etc. we can see different geometrical figures in nature

EXMAPLES OF GEOMERTIC SHAPES REGULAR HEXAGON REGULAR PENTAGON

EXMAPLES OF GEOMERTIC SHAPES REGULAR HEXAGON REGULAR PENTAGON

SYMMETRIC PROPERTY Symmetrical figures are exactly alike in all respects. Animals mainly have bilateral

SYMMETRIC PROPERTY Symmetrical figures are exactly alike in all respects. Animals mainly have bilateral or mirror symmetry , as do the leaves of plants and some flowers. Plants often have radial or rotational symmetry.

EXAMPLES OF SYMMERTIC PROPERTY

EXAMPLES OF SYMMERTIC PROPERTY

CONCLUSION � Mathematics is part of life; mathematicians doing mathematics are subject to the

CONCLUSION � Mathematics is part of life; mathematicians doing mathematics are subject to the same natural laws that govern all of life. Because nature is mathematical , any science that intends to describe the nature is completely dependent on mathematics.

THANK YOU

THANK YOU