Difference between revisions of "Congruent chords are equidistant from the centre of a circle"
Jump to navigation
Jump to search
| Line 1: | Line 1: | ||
| − | |||
| − | |||
| − | ==Estimated Time== | + | ===Objectives=== |
| + | ===Estimated Time=== | ||
40 minutes | 40 minutes | ||
| − | ==Materials/ Resources needed== | + | |
| + | ===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. | Laptop, geogebra,projector and a pointer. | ||
| − | + | ||
| − | |||
| − | |||
| − | |||
| − | |||
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__ |
| − | + | Developmental Questions | |
| − | |||
# What is a chord ? | # What is a chord ? | ||
# Name the centre of the circle. | # Name the centre of the circle. | ||
| Line 28: | Line 26: | ||
# 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. | ||
| − | + | * '''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 ? | ||
| − | # Were the students able to comprehend why congruent chords are always equal for a given circle. Let any student explain the analogy. | + | # 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 ? | # 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 is a chord ? | ||
# What are congruent chords ? | # What are congruent chords ? | ||
# Why do you think congruent chords are always equal for a circle of given radius ? | # Why do you think congruent chords are always equal for a circle of given radius ? | ||
| − | |||
| − | |||
| − | |||
| − | |||
| − | |||
Revision as of 09:17, 7 May 2019
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 ?