Question

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​

Answer 1

Answer:

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Answer 2

$\bigstar$ Given:

• Two two equal chords of a circle intersect within the circle.

$\bigstar$ To Find:

• Prove that the segments of one chord are equal to corresponding segments of the other chord​.

$\bigstar$ Solution:

Let AB and CD be two equal cords (i.e. AB = CD).

As per the information given in the question, it is given that AB and CD intersect at a point, say, E.

Now, it is to be proven that the line segments AE = DE and CE = BE

✦ Construction Steps:

1. Draw a perpendicular to AB i.e. OM ⊥ AB, from the center of the circle.
2. In the same way, draw ON ⊥ CD.
3. At last, join OE.