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=== Objectives ===
=== 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 ===
=== Estimated Time ===
30 minutes
=== Prerequisites/Instructions, prior preparations, if any ===
=== Prerequisites/Instructions, prior preparations, if any ===
knowledge about vertices, segments, angles, circles, quadrilaterals and its types, supplementary angles
=== Materials/ Resources needed ===
=== Materials/ Resources needed ===
Click here to [[:File:Cyclic Quadrilaterals.ggb|open]] the file
Click here to [[:File:Cyclic Quadrilaterals.ggb|open]] the file
Non-digital :paper, pencil, compass, ruler, protractor
=== Process (How to do the activity) ===
=== Process (How to do the activity) ===
{{Geogebra|aujr8556}}
{{Geogebra|aujr8556}}'''Procedure''':
# Draw a circle with centre O.
# Take any four points A, B, C, D on the circumference of the circles.
# Join AB, BC, CD, DA on the circles
# Identify the quadrilateral on the circle
# What you called for this type of quadrilaterals?
# What is cyclic quadrilaterals?
# Identify and measure the angles in the cyclic quadrilaterals?
# Identify pair of opposite angles in cyclic quadrilaterals?
# What is the sum of opposite angles of a cyclic quadrilateral ?what is your conclusion?
=== Evaluation at the end of the activity ===
=== Evaluation at the end of the activity ===
# If one of the angles of a cyclic quadrilateral is 30°, then what will the value of its opposite angle ?
# Find the value of angle D of a cyclic quadrilateral, if angle B is 60°?
Go back to the page - [[KVS Quadrilaterals|click here]]
Go back to the page - [[KVS Quadrilaterals|click here]]