 Hi and welcome to our session. Let us discuss the following question. The question says show that the points A having coordinates 2 minus 2, B having coordinates 14, 10, C having coordinates 11, 30 and D having coordinates minus 1, 1 are the vertices of a rectangle. Now these are the vertices. We have to show that these are the vertices of a rectangle. In order to show that these are the vertices of a rectangle, we have to show that opposite sides are equal and diagonals are of equal length. Because in a rectangle opposite sides are equal and diagonals are of equal length. Let us now begin with the solution. Let us first recall the distance formula. If P has coordinates x1, y1 and Q has coordinates x2, y2 then distance between these two points is given by square root of minus x1 whole square plus y2 minus y1 whole square. So by using this formula, we will now find length of opposite sides and length of T of 14, 10 by using distance formula whole square.