Coordinate Geometry, Locus, Areas and Volumes

Description

Coordinate Geometry is an essential branch of mathematics, and usually assists us in locating points in a plane. The study of this course is needed, so as to offer a connection between algebra and geometry with the use of graphs of lines and curves. This is a free online course that offers its learners an extensive guide to understanding the formula to calculate the areas of special shapes. It teaches how to use Heron’s formula to calculate the area of a triangle without necessarily calculating the angles or other distances in the triangle. earn the concept of locus and coordinate geometry related to circles and parabolas. This course uncovers the parameters of regular polygons as well as the formula used to calculate the area of a regular polygon. It unwraps the formula used to calculate the volume of a rectangular solid. If the segment joining the centers of the circles of a cylinder is perpendicular to the planes of the bases, the cylinder is a right circular cylinder. We will briefly illustrate the formation of the circular cylinder as well as how to calculate its volume.

Emphasis will be placed on developing critical thinking skills as they relate to logical reasoning and argument. Roughly, we can say that a line is an infinitely thin, infinitely long collection of points extending in two opposite directions. When we draw lines in geometry, we use an arrow at each end to show that it extends infinitely. This course gives you a step-by-step guide on how to derive the formula for calculating the distance between a point and a line, it explains to you the relationship between two parallel lines. The way to make the slope the "most opposite" is to flip it and make it negative. Now, that is nowhere close to proof, but in this course, you will discover how to prove the slopes of opposite reciprocals and that the lengths are the same. You will discover the difference between 2-D and 3-D geometry. You will learn how to calculate the distance between two points in a space as well as the midpoint of a line segment in space.

Finally, you will be required to use different technological tools and manipulatives to discover and explain much of the course content such as translation, reflection, dilation, and composition of transformation as well as the properties preserved in them. In line with the geometry theorem, this course shows the learners how to solve the linear systems of equations both Graphically and Algebraically. This course illustrates the formation of a locus, you will learn about the fundamental locus statements. You will learn the concept of locus and coordinate geometry related to circles and parabolas. It explains all the five fundamental loci statements. In this course, you will learn about the lines of symmetry. It describes the lines of symmetry in quadrilaterals, triangles, and a circle. Using succinct examples, this course teaches you how to calculate the angle of rotation and half-turns. This course provides the necessary mathematical tools for complex reasoning and solving problems in the sciences, technology, engineering, and many skilled trades and professions.