Congruent chords are equidistant from the centre of a circle

=Activity - 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
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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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