Difference between revisions of "Angular bisectors and incenter of a triangle"
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=== Objectives === | === Objectives === | ||
− | + | Introduce angular bisectors in a triangle | |
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===Estimated Time=== | ===Estimated Time=== | ||
+ | 40 minutes. | ||
=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
+ | Angles, angle bisectors , concurrent lines and triangles should have been covered. | ||
===Materials/ Resources needed=== | ===Materials/ Resources needed=== | ||
− | + | Digital resources: Laptop, projector and a pointer. | |
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− | + | Geogebra file: This geogebra file was done by ITfC-Edu-Team. | |
− | What | + | ===Process (How to do the activity)=== |
− | + | #The teacher can use this geogebra file and ask the questions listed below. | |
− | + | *Developmental Questions; | |
− | + | #What type of triangle is this ? Why ? | |
− | + | #Identify the three angles. | |
+ | #What is an angle bisector ? | ||
+ | #Identify the point of concurrence of angle bisectors ? | ||
+ | #This point, called incentre of the triangle does its position change with the type of triangle ? | ||
+ | #Identify the circle. What is its radius ? What can this radius be called ? | ||
+ | #What is this circle called ? | ||
+ | *Evaluation: | ||
+ | #What is incentre, inradius and incircle ? | ||
+ | *Question Corner: | ||
+ | #What do you think would be the practical applications of the incentre and incircle ? |
Revision as of 07:15, 29 April 2019
Objectives
Introduce angular bisectors in a triangle
Estimated Time
40 minutes.
Prerequisites/Instructions, prior preparations, if any
Angles, angle bisectors , concurrent lines and triangles should have been covered.
Materials/ Resources needed
Digital resources: Laptop, projector and a pointer.
Geogebra file: This geogebra file was done by ITfC-Edu-Team.
Process (How to do the activity)
- The teacher can use this geogebra file and ask the questions listed below.
- Developmental Questions;
- What type of triangle is this ? Why ?
- Identify the three angles.
- What is an angle bisector ?
- Identify the point of concurrence of angle bisectors ?
- This point, called incentre of the triangle does its position change with the type of triangle ?
- Identify the circle. What is its radius ? What can this radius be called ?
- What is this circle called ?
- Evaluation:
- What is incentre, inradius and incircle ?
- Question Corner:
- What do you think would be the practical applications of the incentre and incircle ?