Ohio Assessments for Educators (OAE) Mathematics Practice Exam

Which pair of quadrants contains the point (x, y) where both x and y are positive?

1. Quadrant I

2. Quadrant II

3. Quadrant III

4. Quadrant IV

The correct answer is: Quadrant I

The point (x, y) is located in two-dimensional space, known as the Cartesian coordinate system, where the position of a point is defined by its x-coordinate (horizontal position) and y-coordinate (vertical position). In this system, the quadrants are defined as follows: - Quadrant I is where both x and y are positive. - Quadrant II is where x is negative and y is positive. - Quadrant III is where both x and y are negative. - Quadrant IV is where x is positive and y is negative. Since the question asks for the pair of quadrants that contains the point where both x and y are positive, the only applicable quadrant is Quadrant I. In this quadrant, all points have positive coordinates, making it the correct choice for the point (x,y) where both coordinates are positive. Understanding the placement of coordinates helps clarify the nature of each quadrant and emphasizes the characteristics of points based on their signs. Hence, Quadrant I is uniquely defined for having both coordinates positive, confirming the accuracy of the response.