## Congruent Angles

In geometry, 2 figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. Definitions of Congruent Angles Angles are congruent if they have the same angle measure in degrees. They can be at any orientation on … Continue reading "Congruent Angles"

## Complementary Angles

Complementary comes from Latin completum meaning “completed“, because the right angle is thought of as being a complete angle. Definition of Complementary Angles Complementary angles are 2 angles whose measures add up to 90o. For example 2 puzzle pieces that form one 90o angle when they are put together. Complementary angles are always in a pair. One … Continue reading "Complementary Angles"

## Mixed Fractions

Mixed Fraction is also known as Mixed Number A Mixed Fraction is a whole number and a proper fraction combined. Each example is made up of a whole number and a proper fraction together. That is why it is called a mixed fraction or mixed number. 3 Types of Fractions There are 3 types of … Continue reading "Mixed Fractions"

## How To Find if Triangles are Congruent

Triangles are congruent when all corresponding sides & interior angles are congruent. The triangles will have the same size & shape, but 1 may be a mirror image of the other. 2 triangles are congruent if they have: exactly the same three sides and exactly the same three angles. We don’t have to know all 3 … Continue reading "How To Find if Triangles are Congruent"

## Dividing Fractions By Whole Numbers

How to Divide a Fraction by a Whole Number? To Divide a Fraction by a Whole Number: Multiply the bottom number of the fraction by the whole number Simplify the fraction (if needed) Example   Step 1 Step 2 Can’t be simplified more Learn More Fractions Improper Fractions Adding Fractions Simplest Form of Fractions Algebra … Continue reading "Dividing Fractions By Whole Numbers"

## Fractional Exponents

A fractional exponent is an alternate notation for expressing powers and roots together. Fractional Exponents are also known as Radicals or Rational Exponents. Whole Number Exponents First, look at whole number exponents: The exponent of a number says how many times to use the number in a multiplication. Fractional Exponents Remember that when aa is a … Continue reading "Fractional Exponents"

## Equal, Greater, or Less Than

As well as the familiar equals sign (=) it is also very useful to show if something is not equal to (≠) greater than (>) or less than (<) Equality and Inequality Definition In mathematics, equality is a relationship between 2 quantities or more (generally 2 mathematical expressions) asserting that the expressions represent the same … Continue reading "Equal, Greater, or Less Than"

## Implicit Differentiation

Some equations in x and y in mathematics do not explicitly define y as a function x and cannot be easily manipulated to solve for y in terms of x, even though such a function may exist. If it happen, it is implied that there exists a function y = f( x) such that the given … Continue reading "Implicit Differentiation"

## Volume and Area of a Sphere

Definition A sphere is a perfectly round geometrical object in 3D space that is the surface of a completely round ball. Sphere Facts Here are some interesting facts about sphere: It is perfectly symmetrical All points on the surface are the same distance “r” from the center It has no edges or vertices (corners) It … Continue reading "Volume and Area of a Sphere"

## Standard Form

Definition What is “Standard Form”? It depends on what you are dealing with! Standard Form of a Decimal Number In Britain, this is another name for Scientific Notation, where you write down a number this way: 4321 = 4.321 × 103 In this example, 4321 is written as 4.321 × 103, because 4321 = 4.321 × … Continue reading "Standard Form"