By DINESH KUMAR December 19, 2024

Lab Activity-12 Class iX

Mathematics Lab Activities on Circle for class IX students, with complete observation tables, strictly according to the CBSE syllabus.

Objective:

To verify that the angles in the same segment of a circle are equal.

Material Required

Geometry box, coloured glazed papers, scissors, cardboard, white paper and adhesive.

Procedure

1. Take a cardboard of suitable size and paste a white paper on it.

2. Take a sheet of glazed paper and draw a circle of radius a units on it [see Fig. 1].

Figure 1

3. Make a cut-out of the circle and paste it on the cardboard.

4. Take two points A and B on the circle and join them to form chord AB [see Fig. 2].

Figure 2

5. Now take two points C and D on the circle in the same segment and join AC, BC, AD and BD [see Fig. 3].

Figure 3

6. Take replicas of the angles ∠ACB and ∠ADB. Put the cut-outs of ∠ACB and ∠ADB on each other such that vertex C falls on vertex D [see Fig. 4].

Figure 4

In Fig. 4, ∠ACB covers ∠ADB completely. So, ∠ACB = ∠ADB..

Observations

On actual measurement:

∠ACB = 65^o.

∠ ADB = 65^o.

So, ∠ACB = ∠ADB. Thus, angles in the same segment are Equal.

Result :

With this activity we prove that angles in the same segment of the circle are equal.

Applications

This result may be used in proving other theorems/riders of geometry related to circles.

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