Prove that angle in the same segment of a circle are equal.

Prove that the chords inclined on the same angle to the radius or diameter of a circle are equal in length.

If two equal chords of a circle in intersect within the circle, prove that : the segments of the chord are equal to the corresponding segments of the other chord. the line joining the point of intersection to the centre makes equal angles with the chords.

In an isosceles triangle, prove that the angles opposite to equal sides are equal.

If two equal chords of a circle in intersect within the circle, prove that: the segments of the chord are equal to the corresponding segments of the other chord.

If two equal chords of a circle intersect within the circle, prove that: the segments of the chord are equal to the corresponding segments of the other chord.

If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.

If two equal chords of a circle intersect within the circle, prove that the segments of one chord are equal to corresponding segments of the other chord.

If two equal chords of a circle in intersect within the circle, prove that: the segments of the chord are equal to the corresponding segments of the other chord. the line joining the point of intersection to the centre makes equal angles with the chords.

Prove that the angle in a segment greater than a semi-circle is less than a right angle.

Prove that the angle in a segment greater than a semi-circle is less than a right angle.