Cyclic Quadrilaterals

Objectives
Understanding about cyclic Quadrilaterals

Being able to deduce that a quadrilateral is cyclic if and only if its opposite angles are supplementary

Estimated Time
30 minutes

Prerequisites/Instructions, prior preparations, if any
knowledge about vertices, segments, angles, circles, quadrilaterals and its types, supplementary angles

Materials/ Resources needed
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Non-digital :paper, pencil, compass, ruler, protractor

Process (How to do the activity)
Procedure:
 * 1) Draw a circle with centre O.
 * 2) Take any four points A, B, C, D on the circumference of the circles.
 * 3) Join AB, BC, CD, DA on the circles
 * 4) Identify the quadrilateral on the circle
 * 5) What you called for this type of quadrilaterals?
 * 6) What is cyclic quadrilaterals?
 * 7) Identify and measure the angles in the cyclic quadrilaterals?
 * 8) Identify pair of opposite angles in cyclic quadrilaterals?
 * 9) What is the sum of opposite angles of a cyclic quadrilateral ?what is your conclusion?

Evaluation at the end of the activity
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 * 1) If one of the angles of a cyclic quadrilateral is 30°, then what will the value of its opposite angle ?
 * 2) Find the value of angle D of a cyclic quadrilateral, if angle B is 60°?