Question

A square ABCD has the vertices A(n, n), B(n, -n), C(-n, -n), and D(-n, n). Which vertex is in Quadrant III?

B

C

A

D

Answer 1

It is necessary for a coordinate to be in quadrant III that both x and y coordinate have to be negative. For e.g (-2,-2) have both x and y coordinate negative , so it is in quadrant III , where as (2,-2) or(-2,2) are not in quadrant III. In the given question C (-a,-a) have both x and y coordinates negative. SO C is in third quadrant and the correct option is C .