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Line 77: − # Can anyone explain why does the perpendicular bisector always passes through the centre of the circle ? Line 85:
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The longest chord passes through the centre of the circle (view source)
Revision as of 16:15, 1 January 2014
, 16:15, 1 January 2014→Activity No 1[Theorem 1: Perpendicular bisector of a chord passes through the center of a circle.]
# What is a perpendicular bisector ?
# What is a perpendicular bisector ?
# In each case the perpendicular bisector passes through which point ?
# In each case the perpendicular bisector passes through which point ?
*Evaluation
*Evaluation
# What is the angle formed at the point of intersection of chord and radius ?
# What is the angle formed at the point of intersection of chord and radius ?
# What do you infer ?
# What do you infer ?
# How can you reason that the perpendicular bisector for any length of chord always passes through the centre of the circle.
# How can you reason that the perpendicular bisector for any length of chord always passes through the centre of the circle.
===Activity No # 2.[Theorem 2.Congruent chords are equidistant from the center of a circle.] ===
===Activity No # 2.[Theorem 2.Congruent chords are equidistant from the center of a circle.] ===
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{| style="height:10px; float:right; align:center;"