Maths-
General
Easy
Question
In the figure, OA = OD and OB = OC. Show that:
(i) AOB ⩭ DOC
(ii) AB || CD
Hint:
Find the congruence rule used and then find the parallel sides.
The correct answer is: AB || CD.
(i) In ΔAOB and ΔDOC, we have
AO = OD (given)
BO = OC (given)
Since CB and AD intersects, we have
(vertically opposite angles)
So by SAS congruence rule, we have
ΔAOB ⩭ ΔDOC
(ii)Since ΔAOB ⩭ ΔDOC, we have
( Corresponding part of congruent triangles)
But they form alternate interior angles and since they are equal , AB || CD.
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