# Write a conditional statement that has a true converse

We can set up conditional statements about it. If we re-arrange a conditional statement or change parts of it then we have what is called a related conditional. There is an easy explanation for this.

### Conditional statement logic

A conditional statement is false if hypothesis is true and the conclusion is false. Do squares have three sides? Are the triangles congruent? There is an easy explanation for this. Courtney K. To create the converse of a conditional statement, switch the hypothesis and conclusion. Creating Conditional Statements Conditional statements begin with "If" to introduce the hypothesis. The inverse always has the same truth value as the converse. Conditional Statement If two lines never meet, then they are parallel.

If two points lie in a plane, then the line joining them lies in that plane. Converse, Contrapositive, and Inverse Now we can define the converse, the contrapositive and the inverse of a conditional statement.

That statement is true. Which of the other statements have to be true as well?

## Conditional statement examples

It will help to look at an example. Contrapositive proofs work because if the contrapositive is true, due to logical equivalence, the original conditional statement is also true. Conditional Statement If two lines never meet, then they are parallel. We know it is untrue because plenty of quadrilaterals exist that are not squares. Converse If I do not eat a pint of ice cream, then I will not gain weight Inverse Conditional Statements Conditional statements set up conditions that could be true or false. Postulate If angles share a common side, then they are adjacent. If a polygon has exactly four sides, then it is a quadrilateral. Conditional Statement Examples If my cat is hungry, then she will rub my leg. Then the law of syllogism tells us that if we turn of the water p then we don't get wet r must be true. The example above would be false if it said "if you get good grades then you will not get into a good college". Starting with an original statement, we end up with three new conditional statements that are named the converse, the contrapositive, and the inverse. If triangles have equal corresponding sides, then they are congruent. The sidewalk could be wet for other reasons. This means that if p is true then q will also be true. You can always test the hypothesis.

We also see that a conditional statement is not logically equivalent to its converse and inverse. You can always test the hypothesis.

## Conditional statement examples in real life

This means that if p is true then q will also be true. Conditional Statement Examples If my cat is hungry, then she will rub my leg. If a polygon has exactly four sides, then it is a quadrilateral. That statement is true. Continue Reading. The conclusion begins with "then," like this: If my dog barks, then my dog observed something that excited him. Video lesson Write a converse, inverse and contrapositive to the conditional "If you eat a whole pint of ice cream, then you won't be hungry".

We will examine this idea in a more abstract setting. Postulate If two lines are parallel, then they are lines that never meet. The most common patterns of reasoning are detachment and syllogism.

The hypothesis is the part that sets up the condition leading to a conclusion. It might create a true statement, or it could create nonsense: If a polygon is a square, then it is also a quadrilateral.

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