What is a congruence statement? Congruency in Geometry: In geometry, we say that two geometrical objects (such as line segments, angles, or polygons) are congruent when they have the exact same shape and size. These types of objects are extremely common in geometry, so it is useful to be...
The inverse of a statement is a way of writing the statement using the opposite of its original hypothesis and conclusion. Using the previous example, the inverse of the statement "If a polygon is a square, then it is a rectangle" is "If a polygon is not a square, then it is not a...
What are Conditional Statements? What is the Converse of a Conditional Statement? What are Inverse Statements? Lesson SummaryWhat are Conditional Statements? A statement is a written or verbal expression with a definite, declarative meaning that can be either true or false. For example, "It is ...
Inductance is defined as the property of an electric conductor which causes an electromotive force that is generated due to a change in the current flow. There are two types of inductance: self-inductance and mutual inductance.
A linear expression is one in which the highest power of each variable is one. There may be multiple variables but the combined powers of the...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question Our experts can answer your tough ...
A converse theorem in geometry is a statement that follows from the original theorem but with the hypothesis and conclusion switched. For example, the converse of Pythagoras Theorem states that if a triangle has sides such that the square of one side is equal to the sum of squares of other ...
What is an integer? A simple definition of integers is they are positive and negative numbers along with zero. Integers are not fractional numbers. For example, -10, -5, 0, 5, 10, etc. are integers.
Being non-commutative, the quaternions do not form a field. However, they are still a skew field (or division ring): multiplication is associative, and every non-zero quaternion has a unique multiplicative inverse. Like the complex numbers, the quaternions have a conjugation although this is...
In a previous blog post, I discussed how, from a Bayesian perspective, learning about some new information can update one’s perceived odds about how likely an “alternative hypothesis” is, compared to a “null hypothesis” . The mathematical formula here is Thus, provided one has (i) ...
Is Slope the Same as Incline?No, slope and incline are not the same. While both terms relate to the steepness or slant of a surface, they refer to different concepts. Slope is a mathematical term used in geometry and algebra to measure the ratio of vertical change to horizontal change on...