- 1. In Fig., AC || BD and AC = BD. State the equal parts of these two triangles which ensure that triangle ACO is congruent to triangle BDO.
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We have AO = OB and CO = OD since AB and CD bisect each other at O.
Also ∠AOC = ∠BOD since they are opposite angles on the same vertex.
Therefore by SAS congruence condition, △AOC≅△BOD.
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Answer:
taken angle a CO confident angle BDO
AC equal DB (given)
angle aco is equal to angle BDO(alternate angles)
angle AOC equal angle BDO(vertically opposite angles)
Hence, triangle ACO confident triangle BDO ( by SAA concurrent rule)
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