Theorems for Congruent TrianglesWhen triangles are congruent and one triangle is placed on top of the other, the sides and angles that coincide (are in the same positions) are called corresponding parts.Example: When two triangles are congruent, there ar…

Preparing Proofs in Coordinate GeometryIn the seventeenth century, the French mathematician Rene Descartes applied algebraic principles to geometric situations. This blending of algebra and geometry is referred to as analytic geometry. Because this proc…

Graphs of Circles  Did you notice that the formula for the circle with the center at the origin is just a special case of the formula for a circle at point (h,k)? When h = 0 and k = 0 (for the origin), the formula becomes Where does the circle formula c…

Geometric Sequences and SeriesA sequence is an ordered list of numbers. The sum of the terms of a sequence is called a series. While some sequences are simply random values, other sequences have a definite pattern that is used to arrive at the sequence…

Criteria For Congruent Triangleshttps://www.youtube.com/watch?v=QkU4FZN8MY0Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal. Congruent Triangles …

Conditional ProbabilityThe conditional probability of an event B, in relation to event A, is the probability that event B will occur given the knowledge that an event A has already occurred. In plain English … You toss two pennies. The first penny shows…

Independent and Dependent EventsTwo events are said to be independent if the result of the second event is not affected by the result of the first event. If A and B are independent events, the probability of both events occurring is the product of the pr…

Interior Angles of  Regular PolygonsRemember that the sum of the interior angles of a polygon is given by the formulaSum of interior angles = 180(n – 2) where n = the number of sides in the polygon. A polygon is called a REGULAR polygon when all of its …

Exterior AngleAn exterior angle of a polygon is an angle that forms a linear pair with one of the angles of the polygon. Two exterior angles can be formed at each vertex of a polygon. The exterior angle is formed by one side of the polygon and the extens…

Linear – Quadratic SystemsA quadratic equation is defined as an equation in which one or more of the terms is squared but raised to no higher power. The general form is ax2 + bx + c = 0, where a, b and c are constants.In Algebra and Geometry, we learned …