Question

What is the converse of the statement?

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

Answer 1

if a point doesn't lie in quadrent lll then both its coordinates are not negative

Answer 2

If both the coordinates are negative then the point lies in the third quadrant.

Explanation:

Here we are given the theorum as "If a point lies in Quadrant lll, then its coordinates are both negative."

Now in this theorum , first part is conditional statement and the second part is the conclusion of first. In order to find the converse , we make the conclusive statement as conditional statement and the conditional as conclusive.

Hence ,

Our condition earlier was, lying in the third quadrant ,

Conclusive statement was , both are negative.

Now in converse,

Conditional will be if both are negative ,

Conclusive will be , lies in the third quadrant.