Chapter 7 – Coordinate Geometry

1) Prove that in right-angled triangle, the mid-point of the hypotenuse is equidistant from the vertices.

Ans – Given A(2a, 0), B(0, 2b) and O(0, 0) are the vertices of right-angled triangle

2) Prove that the diagonals of a rectangle bisect each other and are equal.

Ans – Let ABCD be a rectangle take A as origin the vertices of a rectangle are A(0, 0), B(a, 0), C(a, b), D(0, b)