What is a converse of a theorem that is an if-then statement? The converse is the same as the original theorem, two parts are negated by using the word not, the converse of a theorem has no relationship to the original theorem, the if part and the Then part switch places
The converse of a theorem is when the if part and the then part of the original statement are switched.
The converse of a theorem that is an if-then statement is when the if part and the then part switch places. In other words, the converse of the original theorem is formed by interchanging the hypothesis and the conclusion of the if-then statement.
The converse of a theorem is a statement that is formed by switching the positions of the hypothesis (if part) and the conclusion (then part) of the original theorem. In other words, if the original theorem is in the form "if A, then B", the converse will be in the form "if B, then A".
To determine the converse of a theorem, you need to follow these steps:
1. Identify the original theorem in the form "if A, then B".
2. Swap the positions of A and B to form the converse "if B, then A".
For example, let's say we have the original theorem: "If a quadrilateral is a square, then it has four equal sides." The hypothesis (if part) is "a quadrilateral is a square" (A), and the conclusion (then part) is "it has four equal sides" (B).
To find the converse of this theorem, we swap the positions of A and B, resulting in the converse: "If a figure has four equal sides, then it is a square."
Remember that the converse of a theorem may or may not be true, as it does not guarantee the same relationship as the original theorem.