Learn about converse statements and their function in communication and discourse. Discover examples of converse, conditional, and inverse statements.
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 ...
Learn to state the triangle proportionality theorem and the converse of the triangle proportionality theorem. Learn the proof of both the theorems. Related to this Question What is constant of proportionality? What is the constant of proportionality in the equation y = 5x?
What is the converse of isosceles triangle theorem? How to prove right triangles are congruent How to prove two right triangles are congruent (b) The following triangle is congruent to triangle ABC . Identify the correspondence and complete this statement. triangle ABC congruent to triangle ... ...
The converse (math) statement: "If we won’t be able to drive to school, then it snows." Though it seems like this statement does not make sense, rest assured that you have done the operation correctly. The use of words in place of numbers and functions in logic is just a demonstrati...
The key to the success of the circle method lies in the converse of the above statement: the only way that the trivial upper bound (2) comes close to being sharp is when all correlate with the same character , or in other words are simultaneously large. This converse is largely captured...
In the converse direction, if has small entropic doubling, then is close (in entropic Ruzsa distance) to a uniform random variable drawn from a set of small doubling; a version of this statement was proven in an old paper of myself, but we establish here a quantitatively efficient version,...
Before we define the converse, contrapositive, and inverse of a conditional statement, we need to examine the topic of negation. Every statement inlogicis either true or false. The negation of a statement simply involves the insertion of the word “not” at the proper part of the statement....
Converse statement: If bananas, then apples. (the "if" clause and "then" clause switch places) Inverse statement: If not apples, then not bananas. (negate the original statement) Contrapositive statement: If not bananas, then not apples. (combination of the converse and inverse statements) App...
By a remarkable result by Rockafellar, the converse is also true: Theorem 1 (Rockafellar, 1966) Let by a cyclically monotone map. Then there exists a convex function such that . Even more remarkable, the proof is somehow “just an application of the fundamental theorem of calculus” where ...