Without drawing coordinates axes, mark each pair of points below with left – right, top – bottom position correct. Find the other coordinates of the rectangles drawn with these as opposite vertices and sides parallel to the axes.

(– 1, – 2), (– 5, – 4)

Steps for marking the given points:

1) Mark Point (– 1, – 2) anywhere.

2) Move (– 5 – (– 1)) = – 4 units right i.e. 4 units left.

3) Move (– 4 – (– 2)) = – 2 units up i.e. 2 units down.

4) Mark the point at the current position.

Since sides of the rectangle are parallel to coordinate axes,

Their equations will be

x = – 1

x = – 5

y = – 2

y = – 4

Point of intersection of x = – 1 and y = – 2 is (– 1, – 2) [Given point]

Point of intersection of x = – 1 and y = – 4 is (– 1, – 4)

Point of intersection of x = – 5 and y = – 2 is (– 5, – 2)

Point of intersection of x = – 5 and y = – 4 is (– 5, – 4) [Given point]

Hence, the coordinates of the other vertices of the rectangle are (– 1, – 4) and (– 5, – 2)