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From Karnataka Open Educational Resources
Congruent chords are equidistant from the centre of a circle (view source)
Revision as of 11:06, 7 May 2019
, 11:06, 7 May 2019no edit summary
===Objectives===
===Objectives===
Understanding equal chords are at equal distance from the centre
===Estimated Time===
===Estimated Time===
40 minutes
40 minutes
===Materials/ Resources needed===
===Materials/ Resources needed===
* Digital : Computer, geogebra application, projector.
* Non digital : Worksheet and pencil, compass, strings
* Geogebra files : Equal chords and distance from center.ggb, Equidistantchords.ggb
This geogebra file has been created by Tharanath Achar of Dakshina kannada.
This geogebra file has been created by Tharanath Achar of Dakshina kannada.
===Process (How to do the activity)===
===Process (How to do the activity)===
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Developmental Questions
Developmental Questions
# What is a chord ?
# What is a chord ?
# What can you conclude ?
# What can you conclude ?
# Repeat this for circles of different radii and for different lengths of congruent chords.
# Repeat this for circles of different radii and for different lengths of congruent chords.
Equal chords and distance from center.ggb
# Two chords equal chords are at equal angles with diameter from a point on the circle.
# Identify the congruent elements for the triangles formed when perpendicular is drawn to chords from center of the circle.
# Can these equal chords be any where in the circle, then what about their perpendicular distances.
Equidistantchords.ggb
# Use the files to demonstrate equal chords are at equal distance from the center
# Show the animation by overlapping the two chords to show they are equal
* '''Evaluation Questions'''
* '''Evaluation Questions'''
# Were the students able to comprehend the drawing of congruent chords in a circle ?
# Were the students able to comprehend the drawing of congruent chords in a circle ?
