Generally, geometry per se is not covered in grades kindergarten through eight, but teachers introduce children to shapes and spaces in a variety of ways. In initial school activities, teachers ask kindergarten students to color triangles and circles. By the end of elementary school, most students can make scale drawings. Students are able to connect locations with coordinates, which is analytical geometry. Visualization and spatial reasoning skills assist students with problem solving. What this means is that in daily life, understanding geometry helps with visual drawing and technical drawing skills, and also helps children realize how to put objects together, which could range from a simple box or a simple puzzle to complicated projects such as assembling a toy automobile or airplane or a large jigsaw puzzle.
Computer graphics and computer-aided design are geometrically-based. In the arts, graphic artists use geometric shapes to build images. In robotics, scientists use geometry to plan how to move objects so that they do not collide. In medicine, doctors will use a computerized tomography scan -- often known as a CAT scan -- to reconstruct the shape of a tumor for further examination. In engineering, structural engineers design buildings first via computer-generated drawings. In biotechnology, scientists will model proteins using geometry to replicate images of proteins. In pharmacology, scientists design drugs to change the shape or movement of proteins to heal diseases.
In the physical and man-made world, you will see evidence of geometry everywhere. For example, man-made objects such as buildings, planes, cars and maps all use geometry. The home you live in is made of basic geometric structures. Some skyscrapers have windows made of rectangles and squares. The John Hancock Tower in Chicago is made of a long cube. On a car, the wheels and lights are circles. The great pyramids of Egypt of made of geometric shapes.
Symmetry is a sense of harmony, proportion and balance. It reflects beauty and perfection. In the scientific sense, symmetry is defined as a sense of self-similarity through rules of a formal system, such as geometry or physics. Symmetry is the basic concept in the study of biology, chemistry and physics. Systems of laws in physics and molecules in stereo chemistry reflect the concepts of geometry. Some have difficulty grasping how geometry relates to sciences. Since the 1870s, the study of transformation and related symmetry are parallel to geometric studies.