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Q: What Decide if the converse is true for the following true conditional statement If tomorrow is Monday then today is a weekend day. If it is true choose a valid biconditional statement.?

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No, not always. It depends on if the original biconditional statement is true. For example take the following biconditional statement:x = 3 if and only if x2 = 9.From this biconditional statement we can extract two conditional statements (hence why it is called a bicondional statement):The Conditional Statement: If x = 3 then x2 = 9.This statement is true. However, the second statement we can extract is called the converse.The Converse: If x2=9 then x = 3.This statement is false, because x could also equal -3. Since this is false, it makes the entire original biconditional statement false.All it takes to prove that a statement is false is one counterexample.

If lines lie in two planes, then the lines are coplanar.

Yes

Switching the hypothesis and conclusion of a conditional statement.

No, it is not a definition: it is an imperative statement requiring you to do something!

Related questions

The conjunction of a conditional statement and its converse is known as a biconditional statement. It states that the original statement and its converse are both true.

A biconditional is the conjunction of a conditional statement and its converse.

It is the biconditional.

If a number is nonzero, then the number is positive.

No, not always. It depends on if the original biconditional statement is true. For example take the following biconditional statement:x = 3 if and only if x2 = 9.From this biconditional statement we can extract two conditional statements (hence why it is called a bicondional statement):The Conditional Statement: If x = 3 then x2 = 9.This statement is true. However, the second statement we can extract is called the converse.The Converse: If x2=9 then x = 3.This statement is false, because x could also equal -3. Since this is false, it makes the entire original biconditional statement false.All it takes to prove that a statement is false is one counterexample.

If lines lie in two planes, then the lines are coplanar.

Yes

An integer n is odd if and only if n^2 is odd.

The inverse of a conditional statement switches the hypothesis and conclusion. The converse of a conditional statement switches the hypothesis and conclusion. The contrapositive of a conditional statement switches and negates the hypothesis and conclusion.

Converse

Switching the hypothesis and conclusion of a conditional statement.

The area of a square is 25 square meters if and only if the side length of the square is 5 meters