Difference between revisions of "Perpendicular bisector of a chord passes through the center of a circle"
Jump to navigation
Jump to search
Gurumurthy (talk | contribs) m (added Category:Circles using HotCat) |
|||
(2 intermediate revisions by one other user not shown) | |||
Line 1: | Line 1: | ||
− | + | 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 === | ===Objectives === | ||
#Meaning of circle and chord. | #Meaning of circle and chord. | ||
Line 13: | Line 14: | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
− | Laptop, Geogebra file, projector and a pointer. | + | Digital: Laptop, Geogebra file, projector and a pointer. |
− | + | Geogebra file: [https://ggbm.at/wfee76pn Chord and perpendicular bisector.gg] | |
+ | |||
+ | {{Geogebra|wfee76pn}} | ||
===Process (How to do the activity)=== | ===Process (How to do the activity)=== | ||
Line 30: | Line 33: | ||
# 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. __FORCETOC__ | # How can you reason that the perpendicular bisector for any length of chord always passes through the centre of the circle. __FORCETOC__ | ||
+ | |||
+ | [[Category:Circles]] |
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.