Please wait...
1800-212-7858 (Toll Free)
9:00am - 8:00pm IST all days

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this toll free number

022-62211530

Mon to Sat - 11 AM to 8 PM

If two intersecting chord of a circle make equal angles with the diameter passing through their point of intersection, prove that the chords are equal.

Asked by Topperlearning User 7th February 2014, 12:36 PM
Answered by Expert
Answer:

Let AB and CD be the two chords.

Construct OM AB and ON CD

In OME and ONE,

1 = 2        (given)

OME = ONE = 90o

OE = OE          (common)

By AAS congruence rule,

OM = ON        (c.p.c.t)

Hence, AB = CD

(Since, chords equidistant from the centre are equal)

Answered by Expert 7th February 2014, 2:36 PM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Chat with us on WhatsApp