Page 65 - Mathematics Class - IX

7. Draw a chord BC such that BC = QR.

8. Mark a point A on the circumference of the second circle as shown in Fig. (c).

9. Trace ∠BAC using tracing paper and cut it to make a replica of ∠BAC. Place it on ∠QPR such that vertex
A coincides with P as shown in Fig. (d).

A P( A)

Tracing paper

B C (B) Q R (C)

Fig. (c) Fig. (d)

OBSERVATIONS

We observe that chord BC = QR and ∠QPR and ∠BAC superimpose each other.

INFERENCE

This verifies that angles subtended in the same segment of a circle are equal.

EXTENDED TASK
1. Take a circle of any radius and paste it on the cardboard. Fix three or four board pins on the circumference
of the circle and verify the same theorem.
2. Take a plywood and draw a circle on it. Fix nails at equal distance on the circumference of the circle. Using
thread create your own design and display in class.

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