Congruent chords are equidistant from the centre of a circle
Revision as of 09:17, 7 May 2019 by Preeta (talk | contribs) (Preeta moved page Circles and lines activity 2 to Congruent chords are equidistant from the centre of a circle without leaving a redirect)
Objectives
Estimated Time
40 minutes
Prerequisites/Instructions, prior preparations, if any
Basics of circles and its related terms should have been done.
Materials/ Resources needed
Laptop, geogebra,projector and a pointer.
This geogebra file has been created by Tharanath Achar of Dakshina kannada.
Process (How to do the activity)
Developmental Questions
- What is a chord ?
- Name the centre of the circle.
- How do you draw congruent chords in a circle ?
- How many chords do you see in the figure ? Name them.
- If both the chords are congruent, what can you say about the length of both the chords ?
- How can we measure the length of the chord ?
- What is the procedure to draw perpendicular bisector ?
- What does theorem 1 say ? Do you all remember ?
- What is the length of both chords here ?
- What can you conclude ?
- Repeat this for circles of different radii and for different lengths of congruent chords.
- Evaluation Questions
- Were the students able to comprehend the drawing of congruent chords in a circle ?
- Were the students able to comprehend why congruent chords are always equal for a given circle. Let any student explain the analogy.
- Are the students able to understand that this theorem can be very useful in solving problems related to circles and triangles ?
- What is a chord ?
- What are congruent chords ?
- Why do you think congruent chords are always equal for a circle of given radius ?