Question

Which point is located in quadrant iii ?

a) (−1/2, 1/4) begin ordered pair negative 1 half comma 1 fourth end ordered pair
b) (1/2, −1/4) begin ordered pair 1 half comma negative 1 fourth end ordered pair
c) (−1/2, −1/4) begin ordered pair negative 1 half comma negative 1 fourth end ordered pair

Answer 1

Point (c) (−1/2, −1/4) is the only point with both coordinates negative, hence it is located in Quadrant III of the Cartesian coordinate system.

Step-by-step explanation:

The student is asking about Cartesian coordinates and their relationship to the Quadrants of the coordinate system. Specifically, which of the given points is located in Quadrant III. In the Cartesian coordinate system, Quadrant III is where both the x and y coordinates are negative. The points given in the question are:

• (−1/2, 1/4)
• (1/2, −1/4)
• (−1/2, −1/4)

Examining these points, option (c) (−1/2, −1/4) is the only point where both coordinates are negative. Hence, point (c) is located in Quadrant III.