Perpendicular bisector of a chord passes through the center of a circle
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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
Laptop, Geogebra file, projector and a pointer.
This geogebra has been created by ITfc-Edu-team.
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.