Perpendicular bisector of a chord passes through the center of a circle

Activity No # 1 - Perpendicular bisector of a chord passes through the center of a circle

Estimated Time

20 minutes

Materials/ Resources needed

Laptop, Geogebra file, projector and a pointer.

Prerequisites/Instructions, if any

1. Basic concepts of a circle and its related terms should have been covered.

Website interactives/ links/ simulations

This geogebra has been created by ITfc-Edu-team.

Process (How to do the activity)

1. Show the children the geogebra file and ask the listed questions below.

Developmental Questions (What discussion questions)

1. What is a chord ?
2. At how many points on the circumference does the chord touch a circle .
3. What is a bisector ?
4. What is a perpendicular bisector ?
5. In each case the perpendicular bisector passes through which point ?

Evaluation (Questions for assessment of the child)

1. What is the angle formed at the point of intersection of chord and radius ?
2. Are the students able to understand what a perpendicular bisector is ?
3. Are the students realising that perpendicular bisector drawn for any length of chords for any circle always passes through the center of the circle .

Question Corner

1. What do you infer ?
2. How can you reason that the perpendicular bisector for any length of chord always passes through the centre of the circle.

Activity Keywords

1. Geogebra
2. Perpendicular bisector
3. Chord

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