Congruent chords are equidistant from the centre of a circle

Activity No # 2 - Congruent chords are equidistant from the centre of a circle

Estimated Time

40 minutes

Materials/ Resources needed

Laptop, geogebra,projector and a pointer.

Prerequisites/Instructions, if any

Basics of circles and its related terms should have been done.

Multimedia resources

Laptop, geogebra file, projector and a pointer.

Website interactives/ links/ Geogebra applets/ simulations

This geogebra file has been created by Tharanath Achar of Dakshina kannada.

Process (How to do the activity)

1. Show geogebra file and ask the questions below.

Developmental Questions (What discussion questions)

1. What is a chord ?
2. Name the centre of the circle.
3. How do you draw congruent chords in a circle ?
4. How many chords do you see in the figure ? Name them.
5. If both the chords are congruent, what can you say about the length of both the chords ?
6. How can we measure the length of the chord ?
7. What is the procedure to draw perpendicular bisector ?
8. What does theorem 1 say ? Do you all remember ?
9. What is the length of both chords here ?
10. What can you conclude ?
11. Repeat this for circles of different radii and for different lengths of congruent chords.

Evaluation (Questions for assessment of the child)

1. Were the students able to comprehend the drawing of congruent chords in a circle ?
2. Were the students able to comprehend why congruent chords are always equal for a given circle. Let any student explain the analogy.
3. Are the students able to understand that this theorem can be very useful in solving problems related to circles and triangles ?

Question Corner

1. What is a chord ?
2. What are congruent chords ?
3. Why do you think congruent chords are always equal for a circle of given radius ?

Activity Keywords

1. Geogebra
2. Equidistant chords

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