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− | [[subst:Math-Activity]] | + | 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: [https://ggbm.at/wfee76pn Chord and perpendicular bisector.gg] |
| + | |
| + | {{Geogebra|wfee76pn}} |
| + | |
| + | ===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. __FORCETOC__ |
| + | |
| + | [[Category:Circles]] |