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

Q: Explain whether the following statement is a valid definition A 150 angle is an obtuse angle Use the converse biconditional and at least one Euler diagram to support your answer?

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Yes

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.

A 150 degree angle is an obtuse angle because it is greater than 90 but less than 180 degrees

Find the converse of the following statement. If it's a dime, then it's a coin.

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.

It is the biconditional.

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

Yes

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 a number is nonzero, then the number is positive.

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

A 150 degree angle is an obtuse angle because it is greater than 90 but less than 180 degrees

Biconditional Statement for: Perpendicular Bisector Theorem: A point is equidistant if and only if the point is on the perpendicular bisector of a segment. Converse of the Perpendicular Bisector Theorem: A point is on the perpendicular bisector of the segment if and only if the point is equidistant from the endpoints of a segment.

a converse is an if-then statement in which the hypothesis and the conclusion are switched.

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

Find the converse of the following statement. If it's a dime, then it's a coin.