AS Level: Finding Coordinates.
Hi. I have a question that has stumped me. Any help would be appreciated.
The origin O and a point B(p,q) are opposite vertices of the square OABC. Find the coordinates of the points A and C.
I seem to be missing an ingredient to the answer. I can find the mid-point and the length of OB. I can also find the gradient of OB and of AC. But none of that really helps unless I can find a relationship between the points.
The answer is [1/2(p-q), 1/2(p q)], [1/2(p q), 1/2(q-p)]. Any guidance would be appreciated.
