0
What else can I help you with?
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?
No, it is not a definition: it is an imperative statement requiring you to do something!
Is the converse of a biconditional statement always true?
Yes
Is The converse of a biconditional statement is always true?
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.
What the true biconditional statement that can be formed from the conditional statement If a number is divisible by 2 then it is even and its converse.?
The true biconditional statement that can be formed is: "A number is even if and only if it is divisible by 2." This statement combines both the original conditional ("If a number is divisible by 2, then it is even") and its converse ("If a number is even, then it is divisible by 2"), establishing that the two conditions are equivalent.
when the biconditional statement is separated into a conditional and its converse which of these cannot be the converse Biconditional: Lines r coplanar if and only if they lie in the same plane.?
If lines lie in two planes, then the lines are coplanar.
What is the conjunction of a conditional statement and its converse?
A biconditional is the conjunction of a conditional statement and its converse.
What is a converse of a conditional statement?
It is the biconditional.
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?
No, it is not a definition: it is an imperative statement requiring you to do something!
What is a conjunction of a conditional statement and its converse?
A biconditional is the conjunction of a conditional statement and its converse.
Is the converse of a biconditional statement always true?
Yes
Is The converse of a biconditional statement is always true?
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.
when the biconditional statement is separated into a conditional and its converse, which of these cannot be the converse?
If a number is nonzero, then the number is positive.
when the biconditional statement is separated into a conditional and its converse which of these cannot be the converse Biconditional: Lines r coplanar if and only if they lie in the same plane.?
If lines lie in two planes, then the lines are coplanar.
What is the mathematical definition for converse?
a converse is an if-then statement in which the hypothesis and the conclusion are switched.
State the Perpendicular Bisector Theorem and its converse as a biconditional?
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.
In geometry What is the converse of the following statement. If it's a dime then it's a coin.?
Find the converse of the following statement. If it's a dime, then it's a coin.
Choose the true biconditional statement that can be formed from the conditional statement If a natural number n is odd then n2 is odd and its converse.?
An integer n is odd if and only if n^2 is odd.
