Activity1 Angles in the same segment are equal

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Objectives

  1. 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:

  1. 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.
  2. What do you mean by the minor segment and major segment of a circle?
  3. Identify minor segment and major segment.
  4. Identify and measure the Angles in major segment
  5. 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?
  6. Find that all angles in the same segment are equal

Application:

  1. What is the type of angle subtended by it in the minor segment?
  2. What is the type of angle subtended by it in the major segment?
  3. 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?

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