this can be proved by drawing the given circle
now x=2a and x=2b (angle at the centre is double the angle at any point on the circumference.
therefore. 2a=2b
hence. a=b
as asked. this theorem is proved..
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If the vertex is at the centre of the circle then this forms a sector of the circle.If the two endpoints and the vertex form an angle in a segment, then the vertex can be at any point on the circle within the same segment and all angles so formed are equal.
No, a segment is a piece of a line. However, two segments that intersect at a point make an angle. In fact, the segments that make up the angle are called the sides of the angle.
It's in the definition of an angle bisector: An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.and an isoceles triangle:it is a triangle with (at least) two equal sides. This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.
They are the same concept, one for the angle and 1 for triangle.Definition of a triangle angle bisector is a line segment that bisects one of the vertex angles of a triangle.Definition of an angle bisector is a ray or line segment that bisects the angle, creating two congruent angles.
No, it's not true.