 here welcome to the session. Let's start the question. Name the type of quadrilateral formed if any by the following points and give reasons for your answer. 4, 5, 7, 6, 4, 3 and 1, 2. A quadrilateral is the parallelogram if its opposite sides are equal but diagonals are not equal and for a rectangle we have to prove that its opposite sides are equal and diagonals are also equal and for rhombus we will prove that a quadrilateral is a rhombus if its all sides are equal and diagonals are not equal and for a square a quadrilateral is a square if its all sides are equal and diagonals are also equal. So let's start the solution. Let, so by using distance formula equal to minus 4 square 5 square which is equal to plus 1 that is equal to under root 10. Now distance vc is equal to is equal to 9 which is equal to root 18 equal to 3 root equal to plus 4 square minus c square which is equal to 9 which is equal to is equal to minus 4 square plus 2 minus 5 square. So this is equal to 9 equal to root 18 which is equal to 3 root 2 is equal to minus 4 square plus 3 minus 5 square equal to 0 plus 4 which is equal to 2. vd is equal to is equal to 36 plus 16 which is equal to root 52 which is equal to size 3 root 2 vc is equal to da is not equal to vd. So according to the key idea, the parallelogram if its opposite sides are equal and diagonals are not equal. Our given figure of quadrilateral found is parallelogram of portion is parallelogram hope the portion is clear to you by yourself.