Difference between revisions of "Perpendicular bisector of a chord passes through the center of a circle"
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| − | + | Since every perpendicular bisector passes through the centre, the centre must lie on every one of them, so the centre must be their single common point. | |
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| − | ==Estimated Time== | + | ===Objectives === |
| + | #Meaning of circle and chord. | ||
| + | #Method to measure the perpendicular distance of the chord from the centre of the circle. | ||
| + | #Properties of chord. | ||
| + | #Able to relate chord properties to find unknown measures in a circle. | ||
| + | #Apply chord properties for proof of further theorems in circles. | ||
| + | ===Estimated Time=== | ||
20 minutes | 20 minutes | ||
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| − | ==Process (How to do the activity)== | + | ===Prerequisites/Instructions, prior preparations, if any=== |
| − | + | Basic concepts of a circle and its related terms should have been covered. | |
| − | + | ||
| − | + | ===Materials/ Resources needed=== | |
| − | + | Digital: Laptop, Geogebra file, projector and a pointer. | |
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| − | + | Geogebra file: [https://ggbm.at/wfee76pn Chord and perpendicular bisector.gg] | |
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| − | + | {{Geogebra|wfee76pn}} | |
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| + | ===Process (How to do the activity)=== | ||
| + | Show the children the geogebra file and ask the listed questions below. | ||
| + | * What is a chord ? | ||
| + | * At how many points on the circumference does the chord touch a circle . | ||
| + | * What is a bisector ? | ||
| + | * What is a perpendicular bisector ? | ||
| + | * In each case the perpendicular bisector passes through which point ? | ||
| + | '''Evaluation''' | ||
# What is the angle formed at the point of intersection of chord and radius ? | # What is the angle formed at the point of intersection of chord and radius ? | ||
# Are the students able to understand what a perpendicular bisector is ? | # Are the students able to understand what a perpendicular bisector is ? | ||
# Are the students realising that perpendicular bisector drawn for any length of chords for any circle always passes through the center of the circle . | # Are the students realising that perpendicular bisector drawn for any length of chords for any circle always passes through the center of the circle . | ||
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# What do you infer ? | # What do you infer ? | ||
| − | # How can you reason that the perpendicular bisector for any length of chord always passes through the centre of the circle. | + | # How can you reason that the perpendicular bisector for any length of chord always passes through the centre of the circle. __FORCETOC__ |
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| − | + | [[Category:Circles]] | |
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Latest revision as of 16:07, 4 November 2019
Since every perpendicular bisector passes through the centre, the centre must lie on every one of them, so the centre must be their single common point.
Objectives
- Meaning of circle and chord.
- Method to measure the perpendicular distance of the chord from the centre of the circle.
- Properties of chord.
- Able to relate chord properties to find unknown measures in a circle.
- Apply chord properties for proof of further theorems in circles.
Estimated Time
20 minutes
Prerequisites/Instructions, prior preparations, if any
Basic concepts of a circle and its related terms should have been covered.
Materials/ Resources needed
Digital: Laptop, Geogebra file, projector and a pointer.
Geogebra file: Chord and perpendicular bisector.gg
Download this geogebra file from this link.
Process (How to do the activity)
Show the children the geogebra file and ask the listed questions below.
- What is a chord ?
- At how many points on the circumference does the chord touch a circle .
- What is a bisector ?
- What is a perpendicular bisector ?
- In each case the perpendicular bisector passes through which point ?
Evaluation
- What is the angle formed at the point of intersection of chord and radius ?
- Are the students able to understand what a perpendicular bisector is ?
- Are the students realising that perpendicular bisector drawn for any length of chords for any circle always passes through the center of the circle .
- What do you infer ?
- How can you reason that the perpendicular bisector for any length of chord always passes through the centre of the circle.