Question

1. what is the converse of the following conditional?

if a point is in the first quadrant, then its coordinates are positive.
a. if a point is in the first quadrant, then its coordinates are positive. b. if a point is not in the first quadrant,
then the coordinates of the point are not positive. c. if the coordinates of a point are positive, then
the point is in the first quadrant. d. if the coordinates of a point are not positive, then
the point is not in the first quadrant.

Explanation:

To find the converse of a conditional statement "If \( p \), then \( q \)", we switch the hypothesis (\( p \)) and the conclusion (\( q \)). The original statement is "If a point is in the first quadrant (\( p \)), then its coordinates are positive (\( q \))". So the converse should be "If \( q \), then \( p \)", which translates to "If the coordinates of a point are positive, then the point is in the first quadrant".

Answer:

c. If the coordinates of a point are positive, then the point is in the first quadrant.