I have asked for essay on geometry box
Answers
The early geometers studied figures such as points, lines and angles which required the use of rulers and compasses only. With the advent of more geometric designs, other geometric tools were invented. Some of the most commonly used geometric tools are:
The Ruler: Also known as the straightedge, a ruler is used to construct straight lines and measure the lengths of a line segment. It is a straight edge originally used only for drawing straight lines. However, for our convenience, it is graduated into centimetres and millimetres on one side, and into inches on the other.
The Compasses: It is a ‘V’-shaped tool which holds a pencil on the one side of the ‘V’ and a pointer on the other side. The distance between the pencil and the pointer is adjustable. It is used to trace arcs, circles and angles. It is also used to mark equal lengths.
The Protractor: It is a semi-circular disc used to draw and measure angles. It is graduated from 0 to 180 degrees and can be directly used to measure any angle within its range. It has two set of markings, 0 to 180 degrees from left to right and vice versa.
The Divider: It looks similar to the compasses with its ‘V’-shaped structure. However, it has pointers on both ends of the ‘V’. The distance between them is adjustable and it is used to measure and compare lengths.
The Set-Squares: These are the triangular pieces of plastic with some portion between them removed. There are two kinds of set squares available in the market. One has the angles 45, 45 and 90 degrees at the 3 vertices while the other has 30, 60 and 90 degree angles. They are used to draw parallel and perpendicular lines.
An angle is formed when two rays come together at the same point (end point). The distance between the two rays is measured in degrees using a tool known as a protractor. Angles can be found on the human body as well as in the many structures we have created for living and working. On your body, each joint as it is moved creates different sized angles based on how far apart the body parts are located. An example of angles with in a home might include the brackets holding a shelf to the wall. Angles are created as shapes come together.
Shapes are unique representations with specific properties to define them. Shapes can be two- or three- dimensional. There are numerous defined shapes. Shapes include things such as polygons, which include squares, circles, rectangles, triangles, etc.., quadrangles, which include parallelograms, rhombus, trapezoids, etc…solids, which include cylinders, pyramids, prisms, etc… Each item in our tangible world is created by combining shapes of some sort together. Thinking of a soda can as a cylinder or a refrigerator as a combination of squares, cubes and rectangles provides a deeper understanding of how shapes can be combined together to create the world around us.