Geometric Properties

Verify Properties of Triangles

In this section, you’ll see how you can use some basic math formulas, such as the midpoint, length, and slope formulas to verify properties of specific triangles. With that, you’ll learn how to verify the centroid of a triangle, and discover how it divides each median into two parts, with one part…

Properties of Circles

This last lesson in this unit will demonstrate a few important properties of circles. When you first start learning about circles, you learn what radius and diameter mean. As a refresher, the diameter is the measurement across the circle passing through the center (shown below), while the radius is half that…

Verify Properties of Quadrilaterals

A quadrilateral is a polygon (i.e. 2D shape) with four edges (or sides) and four vertices or corners. Examples of quadrilaterals are illustrated below. In this section we’ll focus on parallelograms and trapezoids. The videos below will prove the following three things: The diagonals of a parallelogram bisect each other. Joining the…

Properties of Triangles

Before we start looking at examples, let’s outline some important properties of triangles. The medians of a triangle meet at a single point, the centroid. The centroid is a fancy word for an objects center of gravity (see the animation below). Each median bisects (splits into two equal parts) the area…