Difference between revisions of "Activity1 Angles in the same segment are equal"
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=== Objectives === | === Objectives === | ||
| + | # Being able to deduce angles on the same segment are equal. | ||
=== Estimated Time === | === Estimated Time === | ||
| + | 20 minutes | ||
=== Prerequisites/Instructions, prior preparations, if any === | === Prerequisites/Instructions, prior preparations, if any === | ||
| + | Knowledge about segment,minor arc,major arc,semi circle,angle subtended by a segment | ||
=== Materials/ Resources needed === | === Materials/ Resources needed === | ||
| + | Digital : Click here to [[:File:ANGLES IN THE SAME SEGMENT ARE EQUAL .ggb|open]] the file | ||
| + | |||
| + | Non-digital : Ruler,Compass,Protractor | ||
=== Process (How to do the activity) === | === Process (How to do the activity) === | ||
| + | {{Geogebra|qpjvv6ab}} | ||
| + | |||
| + | '''Procedure''': | ||
| + | # In Circle with centre 'A', BD is a chord, 'p' is major arc and 'd' is minor arc which is represented in red and blue colour respectively. | ||
| + | # What do you mean by the minor segment and major segment of a circle? | ||
| + | # Identify minor segment and major segment. | ||
| + | # Identify and measure the Angles in major segment | ||
| + | # If you change the radius of the circle,Did you observe any changes in the angle measurement? (or) Is the measurement of angle dependant on the circle radius? | ||
| + | # Find that all angles in the same segment are equal | ||
| + | |||
| + | Application: | ||
| + | # What is the type of angle subtended by it in the minor segment? | ||
| + | # What is the type of angle subtended by it in the major segment? | ||
| + | # What is type of angle subtended by it in the semi circle? | ||
=== Evaluation at the end of the activity === | === Evaluation at the end of the activity === | ||
| − | Go back to main page [ | + | If a segment subtended an angle 80° at circumference, then what will be the measure of angles subtended by same segment of the circle circumference at the point P and Q? |
| + | |||
| + | Go back to main page [https://karnatakaeducation.org.in/KOER/en/index.php/Circles?veaction=edit§ion=42 Click Here] | ||
| + | |||
| + | [[Category:Circles]] | ||
Latest revision as of 13:57, 19 December 2020
Objectives
- Being able to deduce angles on the same segment are equal.
Estimated Time
20 minutes
Prerequisites/Instructions, prior preparations, if any
Knowledge about segment,minor arc,major arc,semi circle,angle subtended by a segment
Materials/ Resources needed
Digital : Click here to open the file
Non-digital : Ruler,Compass,Protractor
Process (How to do the activity)
Download this geogebra file from this link.
Procedure:
- In Circle with centre 'A', BD is a chord, 'p' is major arc and 'd' is minor arc which is represented in red and blue colour respectively.
- What do you mean by the minor segment and major segment of a circle?
- Identify minor segment and major segment.
- Identify and measure the Angles in major segment
- If you change the radius of the circle,Did you observe any changes in the angle measurement? (or) Is the measurement of angle dependant on the circle radius?
- Find that all angles in the same segment are equal
Application:
- What is the type of angle subtended by it in the minor segment?
- What is the type of angle subtended by it in the major segment?
- What is type of angle subtended by it in the semi circle?
Evaluation at the end of the activity
If a segment subtended an angle 80° at circumference, then what will be the measure of angles subtended by same segment of the circle circumference at the point P and Q?
Go back to main page Click Here