Mathematics

Grade9

Easy

Question

# Read the following conditional statement: If it is raining, then Kangana has her umbrella up.

Write the converse of the statement.

- If it is not raining, then Kangana does not have her umbrella up.
- If Kangana does not have her umbrella up, then it is raining.
- If Kangana does not have her umbrella up, then it is not raining.
- If Kangana has her umbrella up, then it is raining.

Hint:

### A statement is a declarative sentence which is either true or false but it can never be both at the same time. A statement can be written in the forms of inverse, converse and contrapositive. Here, we have to write the converse of the given statement.

## The correct answer is: If Kangana has her umbrella up, then it is raining.

### In the question there is a statement " If it is raining, then Kangana has her umbrella up".

Here, we have to write the converse of the given statement.

Let us write the given statement in " if A, then B" form, where A= it is raining and B= Kangana has her umbrella up.

Now, the converse of " if A, then B" will be " if B, then A".

The converse of the given statement will be " If Kangana has her umbrella up, then it is raining".

So, the converse of the given statement is " If Kangana has her umbrella up, then it is raining".

Therefore, the correct option is d, i.e., If Kangana has her umbrella up, then it is raining.

If the statement is in the form “if A, then B” here the converse of the statement will be “if B, then A” whereas in inverse the statement will be “if not A, then not B” and in contrapositive the statement will be “if not B, then not A”.