Difference between revisions of "Congruent chords are equidistant from the centre of a circle"
Jump to navigation
Jump to search
m (Preeta moved page Circles and lines activity 2 to Congruent chords are equidistant from the centre of a circle without leaving a redirect) |
|||
Line 1: | Line 1: | ||
===Objectives=== | ===Objectives=== | ||
+ | Understanding equal chords are at equal distance from the centre | ||
+ | |||
===Estimated Time=== | ===Estimated Time=== | ||
40 minutes | 40 minutes | ||
Line 8: | Line 10: | ||
===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)=== | ||
__FORCETOC__ | __FORCETOC__ | ||
+ | |||
Developmental Questions | Developmental Questions | ||
# What is a chord ? | # What is a chord ? | ||
Line 26: | Line 30: | ||
# 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 ? |
Revision as of 11:06, 7 May 2019
Objectives
Understanding equal chords are at equal distance from the centre
Estimated Time
40 minutes
Prerequisites/Instructions, prior preparations, if any
Basics of circles and its related terms should have been done.
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.
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.
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
- 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 ?