Question

What is the converse of the statement? If a point lies in Quadrant III, then its coordinates are both negative. If the coordinates of a point are both negative, then the point is in Quadrant III. If the coordinates of a point are both negative, then the point is not in Quadrant I. If a point is in Quadrant I, then its coordinates are both positive. If the coordinates of a point are both negative positive, then the point is not in Quadrant II.

Answer 1

If the coordinates of a point are both negative, then the point is in Quadrant III.

Answer 2

The converse statement is:

• If the coordinates of a point are both negative, then the point is in Quadrant III.

Explanation:

We know that for any conditional statement of the type:

If p then q i.e. p → q

where p is the hypothesis and q is the conclusion.

The converse of the statement is given by:

If q then p i.e. q → p.

We are given a statement as:

If a point lies in Quadrant III, then its coordinates are both negative.

i.e. Here p=Point lie in Quadrant III

and q= Coordinates are both negative.

Hence, the converse statement will be:

If the coordinates of a point are both negative, then the point is in Quadrant III.