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

Activity - 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

Back