Geometry Basics, Geometric Constructions and Logic

‘Geometry Basics, Geometric Constructions and Logic’ offers a basic guide to understanding the sizes, shapes, positions, angles and dimensions of things. This course covers the branch of mathematics mainly concerned with two- and three-dimensional figures and their properties. We will use algebra, inductive and deductive reasoning, constructions, measurement and coordinate geometry to explore these properties. Geometry is a critical component of mathematics education because you are required to relate concepts from algebra to geometric phenomena. This course requires you to focus on logical proof and critical thinking when solving problems or evaluating arguments. Many post-secondary institutions require students to take a geometry course in high school because it provides the necessary mathematical tools for complex reasoning and solving problems in the sciences, technology, engineering and many skilled trades and professions. Therefore, much of the course is focused on preparation for recalculus, and thus several concepts and activities offer a preview of topics from these higher-level mathematics courses in analytic geometry.

This course includes an in-depth analysis of plane, solid and coordinate geometry as they relate to both abstract mathematical concepts as well as real-world situations. You will be taken through the concept of reasoning and the two types of reasoning. You will learn how proofs can be written informally and how they can be set up. You will also learn how you can logically combine rules, laws, postulates and theorems to obtain the desired conclusion. Emphasis will be placed on developing critical thinking skills as they relate to logical reasoning and argument. The course describes how to use different technological tools for making deductive reasoning. You will discuss parallel lines, angles and polygons. Discover how to find the sum of the measures of the interior angles of a quadrilateral and how to add the angle measures of two triangles. With this course, you will be able to demonstrate knowledge of concepts, definitions, properties and applications of geometry. You will also be able to develop the computational skills and strategies needed to solve problems, and you will develop critical thinking and decision-making skills by connecting concepts to practical applications.

Although we may not always recognize it, basic geometry skills are used regularly in everyday life. The course fittingly touches on strategies for solving real-world geometry problems. Geometry is also an integral part of many other areas of study, including physics and other natural sciences. This course mainly considers two-dimensional figures, but the two lessons on three-dimensional geometry provide more complete coverage of the subject. Each successive lesson in the course builds on previous lessons, culminating in lessons that teach the student how to calculate lengths, areas and volumes of more complicated figures. In addition to its in-depth discussion of the mathematical aspects of geometry, the course also includes lessons on how to draw various figures using a compass and straightedge. This course concludes by applying all that the student has learned to a brief introduction to trigonometry. The course provides the perfect starting point for a more rigorous study of geometry as well as other areas of mathematics. By the end of the course, you should feel comfortable tackling a range of basic to moderately difficult geometry problems. Take this course today to learn the basics of geometry for free.