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CBSE Class 9 Answered

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 | 07 Feb, 2014, 12:36: PM
answered-by-expert 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 | 07 Feb, 2014, 02:36: PM

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