Consecutive Interior Angles

Definitions When two lines are crossed by another line (Transversal), Consecutive Interior Angles are the pairs of angles on one side of the transversal, but inside the two lines. The 2 angles in purple (d and e) make one pair of consecutive interior angles, and the other 2 angles in red (c and f) make another

Zero Product Property

Definition If   a × b = 0   then   a = 0   or   b = 0   or  a = b = 0 A product of factors is zero if and only if one or more of the factors is zero. Standard Form of an Equation The Standard Form of an equation is: “some expression” = 0 Learn More Partial Sum General Form of

Partial Sum

A series is the sum of the terms in a sequence (not the list of terms, like a sequence). The series with a finite number of terms is a easy to find the sum of the series just by adding the terms. However, for the series with an infinite number of terms, the summation is more difficult and complicated.

Prime Factorization

Prime Numbers A Prime Number is a whole number greater than 1 that can not be made by multiplying other whole numbers. The number that we can make by multiplying other whole numbers is a Composite Number. Factors Factors are the numbers you multiply together to get another number 4 × 2 = 8 From

Common Derivatives

Derivative of a function of a real variable measures the sensitivity to change of the function value (output) with respect to a change in its argument (input). Derivatives are a fundamental tool of calculus. The derivative of a function of a single variable at a chosen input value (when it exists) is the slope of the tangent

Square: Definition, Area, Perimeter, Diagonal, & Examples

Square is one of common things in daily life. There are many square things. They are chess board, clock, crackers, origami paper, etc.. Definition of Square Square is specific shape of rectangle. It is because square has right angles in all of the corner. But it has same length in all of the sides. Besides

Cross product: Formula, Rule, And Examples

What is Cross product Cross product is one of kind of vector product. It is also called vector product. It is because cross product is operated in vector case. The result is length and direction. It is multiply two vectors (vector a and b) to get the result (length and the direction). The length (magnitude)

Plane Geometry Examples

1. Johny walked in a garden start from point A. Then he walk to the west 14 meters to point B and he turn to the north 48 meters. The last position was named as C. If he want to go to C shortly, how far the distance? 2. Look at the figure Determine the

General Form of Equation of a Line

Definition General Form of the equation of a straight line is: Ax + By + C = 0 Note: A or B can’t be zero at the same time. (if A = 0 then B ≠ 0, vice versa) The General Form is not always the most useful form, and you may prefer to use: Slope-Intercept Form

Parallel Lines

Lines are parallel if they are always the same distance apart (called “equidistant“), and will never meet. Definition of Parallel Lines Parallel lines in geometry are lines in a plane which do not meet. They don’t intersect each other at any point. By extension, a line & a plane, or 2 planes, in 3D Euclidean