# Geometry Basics: Circles, Coordinate Geometry, Locus and Transformations

## This free online course describes the applications of circles in geometry, and the importance of coordinate geometry.

Publisher: ADU## Description

This course is the third in a series of geometry topics in mathematics for general studies. Geometry Basics: Circles, Coordinate Geometry, Locus and Transformations is a free online course that has been specially prepared to take you through an introductory level to working with circles. Learning about geometry can be tough. However, this course is designed in a way that makes your learning process detailed and easier. What is the formula for calculating the circumference and area of a circle? How do you find the tangents of a circle? In this course, each section answers basic geometric questions and gives basic definitions to help you understand what geometry is. There are many applications of geometry that can be used in our day to day life. Circular cylinders are used to print newspapers. Engineers exploit the circle's symmetrical properties as seen by the use of the circle in making watches, clocks, bicycles e.t.c.

This course prepares you by taking you through coordinate geometry and coordinate proofs. Coordinate geometry is one of the most important and exciting ideas of mathematics. It provides a connection between algebra and geometry through graphs of lines and curves. This can be used to solve geometric problems algebraically, as well as provide geometric insight into algebra. The invention of calculus was an extremely important development in mathematics that enabled mathematicians and physicists to model the real world in ways that were previously impossible. Calculus became the bridge between algebra and geometry by using the coordinate plane. The invention of calculus depends on the development of coordinate geometry. You will learn how to plot points on the coordinate plane and find the distance between two points. There are several methods that can be used to graph linear equations, you will learn about these methods with the aid of examples.

Furthermore, you will be introduced to Coordinate and Transformational Geometry. The word transform means “to change”. You will learn about the different types of transformations in geometry. What is the Line of Symmetry? We often find symmetry in things around us. We say there is symmetry when the exact reflection or mirror image of a line, shape, or object gets created. You will learn about the symmetry of quadrilaterals and triangles. Then you will be introduced to translations. In geometry, translation means moving a shape into a different position without changing it in any way. When you look in the mirror, you see your reflection. In math, you can create mirror images of figures by reflecting them over a given line. You will learn about the properties preserved in line reflections and the reflections in the coordinate plane. So, register for this course and start your next learning journey.

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