Using vector method, prove that the angel in a semi circle is a right angle.

The angle in a semi-circle is a right angle.

The angle in a semi-circle is a right angle

Using vector method,prove that the following points are collinear:

Using vector method,prove that the following points are collinear:

Using vector method,prove that the following points are collinear:

Semi-Circles

Using vector method,prove that the line segments joining the mid-points of the adjacent sides of a quadrilateral taken in order form a parallelogram.

Using vector method,prove that diagonals of a rhombus bisect each other at right angle.

Theorem:-5(i) The degree measure of an arc or angle subtended by an arc at the centre is double the angle subtended by it at any point of alternate segment.(ii) Angle in the same segment of a circle are equal (iii) The angle in the semi circle is right angle.