The angle in a semi-circle is a right angle

Show that any angle in a semi-circle is a right angle. The following arc the steps involved in showing the above result. Arrange them in sequential order. A) therefore angleACB=180^(@)/2=90^(@) B) The angle subtended by an arc at the center is double of the angle subtended by the same arc at any point on the remaining part of the circle. c) Let AB be a diameter of a circle with center D and C be any point on the circle. Join AC and BC. D) therefore angleAD = 2 xx angleACB 180^(@)=2angleACB(therefore angleADB=180^(@))

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

Prove that an angle inscribed in a semi-circle is a right angle using vector method.

Prove that the angle in a segment greater than a semi-circle is less than a right angle.

Show that each angle of a rectangle is a right angle.

Property 1each angle of a rectangle is a right angle.

Each of the four angles of a rectangle is a right angle.