Question

Proof of theorems in triangle and quadrilateral chapter.
​

Answer 1

Answer:

Theorem 1:

Equal chords of a circle subtend equal angles, at the centre of the circle.

Converse of Theorem 1:

If two angles subtended at the centre, by two chords are equal, then the chords are of equal length.

Theorem 2:

The perpendicular to a chord, bisects the chord if drawn from the centre of the circle.

Converse of Theorem 2:

A straight line passing through the centre of a circle to bisect a chord, is perpendicular to the chord.

Theorem 3:

Equal chords of a circle are equidistant (equal distance) from the centre of the circle.

Converse of Theorem 3:

Chords of a circle, which are at equal distances from the centre, are equal in length.

Theorem 4:

Measure of angles subtended to any point on the circumference of the circle from the same arc is equal to half of the angle subtended at the centre by the same arc.

Theorem 5:

The opposite angles in a cyclic quadrilateral are supplementary

hope it helps you...

mark it as brainliest...