A simple example of a conditional statement is:
If a function is differentiable, then it is continuous.
An example of a converse is:
Original Statement: If a number is even, then it is divisible by 2.
Converse Statement: If a number is divisible by 2, then it is even.
Keep in mind though, that the converse of a statement is not always true! For example:
Original Statement: A triangle is a polygon.
Converse Statement: A polygon is a triangle.
(Clearly this last statement is not true, for example a square is a polygon, but it is certainly not a triangle!)
A biconditional is the conjunction of a conditional statement and its converse.
A biconditional is the conjunction of a conditional statement and its converse.
It is the biconditional.
Switching the hypothesis and conclusion of a conditional statement.
Converse
Switching the hypothesis and conclusion of a conditional statement.
true
always true
always true
This is not always true.
if-then-else
none