Studying geometry helps students improve logic, problem solving and deductive reasoning skills. The study of geometry provides many benefits, and unlike some other complex mathematical disciplines, geometry has many practical and daily applications. It is used in art, engineering, sports, cars, architecture and much more.Know More
Since geometry deals with space and shapes, it is easy to see why it has many applications in the life of an average person as opposed to algebra or calculus, which are typically only used by those going into math-related fields.
One reason geometry is studied is to improve visual ability. Most people think in terms of shapes and sizes, and understanding geometry helps improve reasoning in this area.
The ability to think in three-dimensional terms is another reason to study geometry. The idea behind two and three dimensions as they relate to shapes is something derived from the study of geometry. The shapes people most often deal with in the world are three-dimensional shapes. Understanding the size and space of these shapes is something taught by geometry.
At some point, nearly everyone has to figure out the size of a three-dimensional shape. Rooms, houses, vehicle trunk space, furniture and yards are all examples of three-dimensional shapes encountered in everyday life.Learn more about Geometry
A counterexample, in geometry as in other areas of mathematics and logic, is an example that one uses to prove that a particular statement is false. A simple example from primary mathematics uses the statement "the inverse of a number is never an integer," and its counterexample would be 1/4. The inverse of 1/4 is 4, which is an integer. For geometry, finding counterexamples involves a few more calculations.Full Answer >
In geometry, converse, inverse and contrapositive are conditional statements consisting of a hypothesis and a conclusion. These statements are also known as “if-then statements.” The hypothesis part of a conditional statement is the “if," and the “then” part is the conclusion. The conclusion is the result of a hypothesis.Full Answer >
Numerous mathematicians have studied geometry and made major contributions throughout history. Ancient geometers of importance include Pythagoras, Euclid, Hippocrates and Archimedes. More modern figures include Rene Descartes, Isaac Newton and Johann Bolyai.Full Answer >
Altitude in geometry (also known as height) refers to a segment that extends from any vertex of a triangle and is perpendicular to the line found on the opposite side. This term is also employed to refer to the length of this segment.Full Answer >