Geometry has many uses. It is used whenever we ask questions about the size, shape, volume, or position of an object Geometry is the foundation of physical mathematics present around us. A room, a car, anything with physical constraints is geometrically formed. Geometry allows us to accurately calculate physical spaces and we can apply this to the convenience of mankind. . The geometry is heavily used in drawings, carpeting, sewing, architecture, art, mathematics, measurements, sculptures etc. It has wide usage in space, engineering, textiles engineering etc. All these fields are pursued by thousands of individuals which relate geometry to the life of a common man. In our daily life, most productive uses of simple geometry are: ← When we are trying to decorate our house, we should know that how space our furniture will take up? ← Architects and engineers use geometry in planning buildings, bridges, and roads. ← If we use a ladder, we need to place it at an exact angle so we don't fall. ← It is used for carpet laying or tiles on a floor. ← If we want to paint a room, we should know how many square feet of wall space we are going to paint in order to know how much paint to buy. ← We would need to know how many square feet of lawn we have to buy the correct amount of fertilizer or grass seed. ← If a person wants to have new curtains in his house, he will use geometry to calculate the area of the wall. ← Pastimes like quilting use geometry extensively. Understanding how the shapes of a quilt block fit together is dependent on geometry. ← Stairs are made in our homes in consideration to angles. ← So, next time if we hang a picture, think about it: "we are using geometry!"

...Geometry in everyday life
Geometry was thoroughly organized in about 300bc, when the Greek mathematician, Euclid gathered what was known at the time; added original work of his own and arranged 465 propositions into 13 books, called Elements.
Geometry was recognized to be not just for mathematicians. Anyone can benefit from the basic learning of geometry, which is to follow the lines reasoning. Geometry is one of the oldest sciences and is concerned with questions of shape, size and relative position of figures and with properties of space.
Geometry is considered an important field of study because of its applications in daily life.
Geometry is mainly divided in two ;
Plane geometry - It is about all kinds of two dimensional shapes such as lines,circles and triangles.
Solid geometry - It is about all kinds of three dimensional shapes like polygons,prisms,pyramids,sphere and cylinder.
Role of geometry in daily life
Role of geometry in the daily life is the foundation of physical mathematics. A room, a car, a ball anything with physical things is geometrically formed.
Geometry applies us to accurately calculate physical spaces.
In the world , Anything made use of geometrical constraints this is important application in daily life of...

...this domain themselves. By their very nature thay are more interested in the way in which the gate is opened than in the garden lying behind it." (M.C. Escher on tessellations viewed at Alhambra www.mathacedemy.com)
The variety of math used in his body work extends from basic geometric shape to hyperbolic geometry; though there is no need to cover such a wide subject range to explain mathematic influence. Escher was first inspired by the gridded tile patterns, designed in the 14th Century by the Moors, at the Alhambra castle in Granada. Escher was fascinated by the idea of dividing the plane with geometric shapes. Tassellations, the arrangement of closed shapes that do not overlap or allow gaps, became a staple in his work. Typically tassellations are created with regular shapes, such as polygons. Escher was inspired by these patterns and the richness they added to a two dimensional surface, though also understood the geometric concept of three dimensions. Escher was interested in translating the concepts, and line drawings, of space beyond two dimensions to a believable visual depiction. He used many shapes, regular and irregular, that along with a use of certain isometries such as translation and rotation. On the Euclidian plane, N-fold rotational symmetry states that with a particular point (2-D) or axis (3-D) rotation of 360/n the shape/object will not change. Briefly considering some basic variables:
the notation for...

...How is geometry used in everyday life? When you're studying a subject, the science of lines and angles can seem like nothing more than a dull exercise in formulas and predictability. In reality, geometry is at work everywhere you go. Whether you're aware of it or not, geometry quite literally shapes our lives.
An Ancient Science, how long has geometry been around? To answer that question, let's take a look at wheregeometry gets its name. Geometry is derived from the Greek words for Earth (Geo) and measure (metria). It was put into practice by the ancient Greeks and continues to be used throughout the world today. It is the science of measuring shapes, angles, areas and distances. By the evidence the ancient Greeks left behind in their amazing ruins, such as the Parthenon, it's no doubt that they had a deep knowledge and understanding of the science of geometry.
Putting Geometry to Work, if you need an example of how geometry affects you on a daily basis, you need do nothing more than take a look around. What do you see? Maybe it's a bridge. Notice the steel girders underneath? They're arranged using very specific geometry angles to give the bridge its stability. Geometry also dictates the way your home was built, with angles and lines that make the walls sturdy and allow the roof to shed water and snow. Maybe you see...

...Geometry (Greek γεωμετρία; geo = earth, metria = measure),
Its beginnings can be traced in ancient Egypt or early or before 1700 B.C. Due to necessity, every time the Nile River inundated and deposited fertile soil along the bank, the early Egyptian had to solve the problem of size and boundaries of land along the Nile River. Changes happened in the contour of the land had caused confusion among landowners. So a system of making boundaries, measuring lengths and areas had to be discovered. From this circumstance the name “Geometry” has evolved. The word “Geometry” originated from the word “Geo” means “earth” in Greek and “metros” means “to measure”.
It was arose as the field of knowledge dealing with spatial relationships. It began with a practical need to measure shapes. It is the science of shape and size of things.
Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers.
ANCIENT GEOMETRY (3000BCE – 500BCE)
*Many ancient civilizations like the Babylonians, Egyptians, Hindus and Chinese, laid the foundation for geometry as practiced today.Before recorded history, geometry existed as simply, * the science of measuring land and storage containers. The first concepts of geometry “had their origin in simple observations stemming from human ability to recognize physical form and to compare shapes and...

...Pastores, Tiffany Rae R.
II- 5 BEEd
Reaction Paper
The Role of Manipulatives in Arithmetic and Geometry Tasks
December 13, 2011, Tuesday at 6:09 in the late afternoon, I am reading my journal in Geometry. I do not have choice but to do it because it is our duty- a duty for us to accomplish this requirement. The deadline of submission is on December 16, 2011, Friday. I only have three more days to complete my reaction paper. I hope I can finish it before that day comes. I hope I have the ideas to fill up the empty space in the bond paper. I hope I have an open mind to understand what I will be reading. Oh gosh! My time starts at 1, 2… 3!
I figure out doing that intro so that Ma’am can know that I am really reading my journal. Ha-ha! Another reason is for me to react immediately on what I have read. It is because my thoughts are fading easily. That is why I have to write at once. If I do not respond to this, I will have hard time thinking on what I will put on this paper. Well, anyways, let us proceed with my reflection.
“… children were more successful with manipulative than with pictures …, all children were more likely to rotate their paper or physical shape when this action could help them identify the shape.” These are some lines that can be found in my journal. While I was reading these, I remembered Prof. Pabayos, exclusively during the time she is teaching the prisms. As she draws the geometric figure, specifically the...

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3.4.3 Journal: Transformations
Journal
Geometry Sem 2 (S2667506)
Brian Galvan
Points possible: 20
Date: ____________
Scenario: Miniature Golf Transformations
Instructions:
View the video found on page 1 of this journal activity.
Using the information provided in the video, answer the questions below.
Show your work for all calculations
The Students’ Conjectures: The students have instructions about moving buildings on a miniature golf course. They disagree about the transformation involved in moving Building 4. Complete the table to summarize what you know about each student’s idea. (2 points: 1 point for each row of the chart)
Classmate
Conjecture
Tracy
Thinks the new building will be a reflection and then a translation
Tom
Thinks new building is a double refelction
As you work through this activity, sketch the plan for the transformed buildings on the graph below.
Here are the owner's instructions:
Building 1 (Circle) : Rotate 270 degrees counter-clockwise around the origin.
Building 2 (Square): Reflect across the y axis.
Building 3 (Triangle): Reflect across the y axis, then translate 3 up and 2 to the left.
Building 4 (L-Shape) : The points A (3, 8), B (6, 8), C (6, 3), and D (5, 3) need to be transformed to points A’’ (–3, 1), B’’ (–6, 1), C’’ (–6, –4), and D’’ (–5, –4).
Avoid the pond, which is an oval with an origin at (0, 0), a width of 4 units, and a height of 2 units.
Building 1 (Circle):
1. Sketch the transformed position of...

...Ghida Al-Messelmani
Descriptive Geometry
“Drawing is the language of design, and if drawing can be thought of as a language then, descriptive geometry is the grammar of this language.”
Definition:
Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions, by using a specific set of procedures. The resulting techniques are important for engineering, architecture, design and in art. The theoretical basis for descriptive geometry is provided by planar geometric projections. Gaspard Monge is usually considered the "father of descriptive geometry". He first developed his techniques to solve geometric problems in 1765 while working as a draftsman for military fortifications, and later published his findings. Monge’s protocols allow an imaginary object to be drawn in such a way that it may be 3-D modeled. All geometric aspects of the imaginary object are accounted for in true size/to-scale and shape, and can be imaged as seen from any position in space. All images are represented on a two-dimensional surface. Descriptive geometryuses the image-creating technique of imaginary, parallel projectors emanating from an imaginary object and intersecting an imaginary plane of projection at right angles.
INVENTION OF DESCRIPTIVE GEOMETRY IN FRANCE
The man who both invented a...