 Hi and welcome to the session I am Deepika here let's discuss the question name the type of quadrilateral formed if any by the following points and give reasons for your answer minus 1 minus 2 1 0 minus 1 2 and minus 3 0. So let us first recall the types of quadrilateral for parallelogram we have to prove and for rectangle if a quadrilateral is a rectangle its opposite sides are equal and diagonals are also equal and a quadrilateral is the wrong if all sides are equal diagonals are minus 2 b 1 0 c minus 1 2 and d be the given points by using distance formula distance a b is equal to 1 square plus 2 square this is equal to 4 plus 4 equal to minus 1 minus 1 square 0 square this is equal to 4 plus 4 equal to 3 plus 1 square plus 0 minus 2 square this is equal to 4 plus 4 which is again equal to 2 root 2 and distance da is equal to plus 1 square this is equal to 4 plus 4 which is equal to 8 again this is equal to 2 root 2 is equal to distance ac is equal to this is minus 1 plus 1 square plus 2 plus 2 square which is equal to root 16 this is equal to 4 equal to minus 1 square plus 0 minus 0 square root 16 which is equal to 4 hence is equal to distance dc is equal to distance cd is equal to da to distance bd that is all the four sides are equal quadrilateral is a square answer for the above question is clear to you why enjoy yourself