What does converse in geometry mean

So this first statement says if it is Monday, then it is a weekday. Well, that's true. If today's Monday then it's a weekday. So the converse is going to take the if and the then and switch them. Or another way of thinking about it is we're going to take what comes after then and write it after if. So I'm going to say if it is a weekday -- so I'm going to take that second part which was our conclusion, if it is a weekday, now I need to switch it again.

Then I'm going to say the first part of my statement here, which says it is Monday. So the converse, again, takes a hypothesis in the conclusion and switches them. Well, if it's a weekday, then Monday is not always true. What if today was Tuesday. Tuesday is a weekday.

So not every weekday is Monday. The converse of "If two lines don't intersect, then they are parallel" is "If two lines are parallel, then they don't intersect. The truth value of the converse of a statement is not always the same as the original statement. For example, the converse of "All tigers are mammals" is "All mammals are tigers. The converse of a definition, however, must always be true.

If this is not the case, then the definition is not valid. For example, we know the definition of an equilateral triangle well: "if all three sides of a triangle are equal, then the triangle is equilateral. The inverse statement is "If you do not study well then you will not pass the exam" if not p then not q. The contrapositive statement is "If you did not pass the exam then you did not study well" if not q then not p.

Here are a few activities for you to practice. The mini-lesson targeted the fascinating concept of converse statement. Hope you enjoyed learning! Now you can easily find the converse, inverse, and contrapositive of any conditional statement you are given! At Cuemath , our team of math experts is dedicated to making learning fun for our favorite readers, the students!

Through an interactive and engaging learning-teaching-learning approach, the teachers explore all angles of a topic. A statement formed by interchanging the hypothesis and conclusion of a statement is its converse. Converse Statement. Book a Free Class. Lesson Plan 1. What Is Converse Statement? Important Notes on Converse Statement 3. Thinking out of the Box! Solved Examples on Converse Statement 5.

What is the difference between Converse inverse and Contrapositive? What is a statement and examples? The definition of a statement is something that is said or written, or a document showing the account balance. An example of statement is the thesis of a paper. An example of statement is a credit card bill. What does Contrapositive mean?

Definition of contrapositive. What does Converse mean in logic? In logic and mathematics, the converse of a categorical or implicational statement is the result of reversing its two constituent statements. Either way, the truth of the converse is generally independent from that of the original statement. What is the example of Converse? What are the supplementary angles? Supplementary Angles. Two Angles are Supplementary when they add up to degrees.