What is the converse of the statement?
if a point lies in quadrant lll, then its coordinates are both negative.

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

Step-by-step 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.

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step-by-step explanation: