Page 4 - Activity 1 Angle on same segment Ch.10 Circle

Result
We have verified that the angles are equal in the same segment of a circle.

Application
This result can be used in proving other theorems/problems of geometry related to circles.

Viva Voce
Question 1:
“The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord”. Is this
statement true?
Answer:
Yes

Question 2:
How many longest chords are there in a circle?
Answer:
There are infinite longest chords in a circle passing through the centre and each of them is equal to
the diameter of the circle.

Question 3:
What do you mean by the minor segment of a circle?
Answer:
A chord divides a circle into two parts and the smaller part is called the minor segment.

Question 4:
How will you define the major segment of a circle?
Answer:
A chord divides a circle into two parts and the larger part is called the major segment.

Question 5:
How will you relate the angles in the same segment of a circle?
Answer:
Angles will be equal.

Question 6:
Does equal chords of a circle subtend different angles at the centre?
Answer:
No, because equal chords subtended equal angles at the centre.

Question 7:
The angle subtended by an arc at the circle in minor segment is obtuse angle. What is value of angle
subtended by it in the major segment?
Answer:
Acute angle

Question 8:
If a chord AB subtended an angle 80° at centre, then what will be the measure of angles subtended
by same chord in the same segment of the circle at point P and Q?
Answer:
Chord AB subtended an angle of 40° at both points.