QuestionWhat are the conditions for points in the third quadrant? Where can points with same or opposite signs lie?
Studdy Solution
STEP 1
Assumptions1. We are working in a Cartesian coordinate system. . The quadrants are numbered counterclockwise from the positive x-axis. The first quadrant is where both x and y are positive, the second quadrant is where x is negative and y is positive, the third quadrant is where both x and y are negative, and the fourth quadrant is where x is positive and y is negative.
STEP 2
For the point to lie in the third quadrant, both its x and y coordinates must be negative.
STEP 3
An ordered pair has coordinates that have the same sign. This means that both coordinates are either positive or negative. If both coordinates are positive, the point lies in the first quadrant. If both coordinates are negative, the point lies in the third quadrant.
STEP 4
Another ordered pair has coordinates that are opposites. This means that one coordinate is positive and the other is negative. If the x-coordinate is positive and the y-coordinate is negative, the point lies in the fourth quadrant. If the x-coordinate is negative and the y-coordinate is positive, the point lies in the second quadrant.
Was this helpful?
