View source for Perpendicular bisector of a chord passes through the center of a circle

Since every perpendicular bisector passes through the centre, the centre must lie on every one of them, so the centre must be their single common point.

===Objectives ===
#Meaning of circle and chord.
#Method to measure the perpendicular distance of the chord from the centre of the circle.
#Properties of chord.
#Able to relate chord properties to find unknown measures in a circle.
#Apply chord properties for proof of further theorems in circles.
===Estimated Time===
20 minutes

===Prerequisites/Instructions, prior preparations, if any===
Basic concepts of a circle and its related terms should have been covered.

===Materials/ Resources needed===
Digital: Laptop, Geogebra file, projector and a pointer.

Geogebra file:  [https://ggbm.at/wfee76pn Chord and perpendicular bisector.gg]

{{Geogebra|wfee76pn}}

===Process (How to do the activity)===
Show the children the geogebra file and ask the listed questions below.
* What is a chord ?
* At how many points on the circumference does the chord touch a circle .
* What is a bisector ?
* What is a perpendicular bisector ?
* In each case the perpendicular bisector passes through which point ?
'''Evaluation'''
# What is the angle formed at the point of intersection of chord and radius ?
# Are the students able to understand what a perpendicular bisector is ?
# Are the students realising that perpendicular bisector drawn for any length of chords for any circle always passes through the center of the circle .
# 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. __FORCETOC__

[[Category:Circles]]