Given: L(0,b), M(a,b), N(a,0) and O(0,0). Prove LMNO is a rectangle

Question

Given: L(0,b), M(a,b), N(a,0) and O(0,0). Prove LMNO is a rectangle

Answer 1

Compute the slopes of the 4 sides:

LM = (b-b)/a = 0 (Horizontal line)

MN = undefined (vertical line)

NO = (0/a) = 0 (horizontal line)

OL = undefined (vertical line)

For all four corners you have horizontal and vertical lines meeting to form right angles.

So LMNO by definition is a rectangle.