The history of Geometry started in Ancient Egypt around 3000 B.C.E. Egyptians used an early stage of geometry when surveying the land, construction of pyramids, and astronomy. And around 2900 B.C.E. they began using their knowledge to construct pyramids with four triangular faces and a square base. It was created because it was a collection of empirically discovered principles concerning lengths, angles, areas, and volumes, which were developed to meet some practical need in surveying, construction, astronomy, and various crafts. It was used in Babylonia and in the Indus Valley by the Egyptians, Babylonians, and the people of the Indus Valley but the creators were Pythagoras, Euclid, Archimedes, and Thales. Pythagoras was the first pure mathematician although we know little about his mathematical achievements. He was also, a greek philosopher and created a movement called Pythagoreanism. Euclid is sometimes called Euclid of Alexandria. He is also called the “Father of Geometry” and his elements were one of the most influential works in the history of mathematics, which served as a textbook used for teaching mathematics (especially Geometry) from when it was published till the late 19th century to early 20th century. In the Elements he included the principles of what is now called Euclidean Geometry. Euclidean Geometry is a mathematical system and consists of in a small set of appealing postulates that are accepted as true. In fact, Euclid was able to come up with a great portion of plane geometry from five postulates. These postulates include: A straight line segment can be drawn joining any two points, to extend a finite straight line continuously in a straight line, given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center, all right angles are congruent, and if two lines are drawn which intersect a third line in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended infinitely. Also, known as the Parallel Postulate. The elements also, included the five common notions that include:
Things that are equal to the same thing are also equal to one another (Transitive property of equality).
If equals are added to equals, then the wholes are equal (Addition property of equality).
If equals are subtracted from equals, then the remainders are equal (Subtraction property of equality).
Things that coincide with one another are equal to one another (Reflexive Property).
The whole is greater than the part. Mathematical proofs is an argument, a justification, which convinces other people that something is true. Math isn’t a court of law, so a “preponderance of the evidence” or “beyond any reasonable doubt” isn’t good enough. Geometry teaches students like myself how to think critically and prove things in many ways using a step by step process. And if we didn’t use logics and reasonings then we would be jumping to conclusions and making up things a principle posited in the fourteenth century (by William of Occam (1288 C.E.–1348 C.E.)) includes that your proof system should have the smallest possible set of axioms and logical rules. Proofs are important to math since they allow us to think the way we do, analysis the reasonings for things logically.It's also, in real life since everything you do you have to have a reason and logic. Furthermore, if we didn't have proofs we wouldn’t believe in what we do and we wouldn’t be able to question and argue with others. Geometry has influenced architecture and art by finding out how much material is needed for a job by using area formulas and while brick laying a mason must make sure the bricks are being laid at the correct angles. Geometry is used in architecture by drawing blueprints with the help of a protractor and it is widely known that when designing something. It is used in art in the creation of new forms or art like optical painting, which is characterized by geometrical forms that create an optical illusion in which the eye is required to blend the colors at a certain distance. Without using geometric shapes, no work of art would have any order.

Sources: http://www.123helpme.com/view.asp?id=125444 http://www.math.uconn.edu/~hurley/math315/proofgoldberger.pdf https://www.wyzant.com/resources/lessons/math/geometry/introduction/history_of_geometry http://biography.yourdictionary.com/articles/who-is-euclid-and-what-did-he-do.html http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Pythagoras.html https://en.wikipedia.org/wiki/Euclid
http://biography.yourdictionary.com/articles/who-is-euclid-and-what-did-he-do.html