Answer the following questions about the basic facts of the coordinate plane.
(i) Define the following terms:
(a) Cartesian plane
(b) Origin
(c) Abscissa
(d) Ordinate
(ii) State the sign conventions for the coordinates of a point in each of the four quadrants of the Cartesian plane.
(iii) For each of the following points, mention whether it lies in Quadrant I, Quadrant II, Quadrant III, Quadrant IV, on the x-axis, or on the y-axis:
(a) (3,4) (b) (−2,6) (c) (−5,−1) (d) (0,7) (e) (4,0)