GEOMETRY
EXTRAPOINTS

What is the converse of the following conditional?
If a point is in the fourth quadrant, then its coordinates are negative.

Select one:
a. If a point is in the fourth quadrant, then its coordinates are negative.
b. If a point is not in the fourth quadrant, then the coordinates of the point are not negative.
c. If the coordinates of a point are not negative, then the point is not in the fourth quadrant.
d. If the coordinates of a point are negative, then the point is in the fourth quadrant.

Respuesta :

Answer: Choice D

The general format for a conditional is "If P, then Q". The P and Q are placeholders for phrases or expressions. Think of them as empty boxes and inside the boxes you'll place words or a sentence (or sometimes math symbols as well). To form the converse of that template, we simply swap P and Q to get "If Q, then P". In our case,

P = point is in the fourth quadrant

Q = coordinates are negative

so that's how we end up with the answer "If the coordinates of a point are negative, then the point is in the fourth quadrant"