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The longest chord passes through the centre of the circle (view source)
Revision as of 10:26, 2 January 2014
, 10:26, 2 January 2014→Concept # Cyclic quadrilateral
==Concept # Cyclic quadrilateral==
==Concept # Cyclic quadrilateral==
===Learning objectives===
===Learning objectives===
# The students should learn that a quadrilateral ABCD is called cyclic if all four vertices of it lie on a circle.
# A quadrilateral ABCD is called cyclic if all four vertices of it lie on a circle.
# They should know that in a cyclic quadrilateral the sum of opposite interior angles is 180 degrees.
# In a cyclic quadrilateral the sum of opposite interior angles is 180 degrees.
# If the sum of a pair of opposite angles of a quadrilateral is 180, the quadrilateral is cyclic.
# If the sum of a pair of opposite angles of a quadrilateral is 180, the quadrilateral is cyclic.
# In a cyclic quadrilateral the exterior angle is equal to interior opposite angle
# In a cyclic quadrilateral the exterior angle is equal to interior opposite angle
===Notes for teachers===
===Notes for teachers===
===Activity#1Cyclic quadrilateral ===
===Activity#1. Cyclic quadrilateral ===
*Estimated Time 10 minutes
*Estimated Time 10 minutes
*Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.
*Materials/ Resources needed: Laptop, geogebra file, projector and a pointer.