Question

if two equal chords of a circle intersect within the circle prove that the segment of one chord are equal to corresponding segment of the Other chord​

Answer 1

chords are equal because the radius or diameter of circle is equ

Answer 2

$\huge \underline \mathbb {SOLUTION:-}$

Let AB and CD be two equal cords (i.e. AB = CD). In the above question, it is given that AB and CD intersect at a point, say, E.

It is now to be proven that the line segments AE = DE and CE = BE

Construction Steps:

Step 1: From the center of the circle, draw a perpendicular to AB i.e. OM ⊥ AB

Step 2: Similarly, draw ON ⊥ CD.

Step 3: Join OE.