The coordinates of the verticesofa quadrilateral, taken in order, are (2,1), (5,3), (8,7), (4,9).Find the coordinates of the mid points of all four sides.

The coordinates of the vertices of a quadrilateral taken in order are '(2,1)', '(5,3),(8,7),(4,9)'. i) Find the coordinates of the midpoints of all four sides. ii) Prove that the quadrilateral got by joining these mid points is a parallelogram.

The coordinates of the verticesofa quadrilateral, taken in order, are (2,1), (5,3), (8,7), (4,9).Prove that the quadrilateral got by joining these midpoints is a parallelogram.

The coordinates of the vertices of a triangle are '(1,2),(2,3),(3,1)'. Find the coordinates of the centre of its circumcircle and the circumradius.

The coordinates of the vertices of a triangle are(-1,5),(3,7),(1,1).Find the coordinates of its centroid.

Consider a quadrilateral whose vertices are A (- 4,2),B (2,6), C (8,5) and D (9,7) Find the mid point of the sides of the quadrilateral.

Consider a triangle ABC with vertics A (2,5),B (-4,9) and C (-2,-1) Find the co-ordinates of the mid points of AB,BC and AC

The coordinates of two opposite vertices. of a rectangles are '(7,8)' and '(1,3):' a) Without drawing coordinate axes, mark these points as the vertices of a rectangle with left-right, top-bottom positions correct. b) Find the coordinates of other two vertices. c) What is the length of its diagonals?

A circle is drawn with AB as diameter whose end points are A(-3,1)and B(9,10) Find the coordinates of the centre of the circle.

Find the coordinates of the points on x axis at a distance 5 units from (3,4).