AB and CD bisect each other O- Prove that AC-BD

Question

Toppr Admin · Accepted Answer

Given- O is mid point of AB and CD-x2234- AO-OB and CO-ODTo prove- AC-BDProof- Consider -x25B3-AOC and -x25B3-BODAO-OB -given-CO-OD -Given-x2220-AOC-x2220-BOD -Vertically Opposite angle-x25B3-AOC-x2261-x25B3-BODHece we get- AC-BD -by c-p-c-t-c-

AB and CD bisect each other at O. Prove that AC=BD

Given: O is mid point of AB and CD∴ AO=OB and CO=ODTo prove: AC=BDProof: Consider △AOC and △BODAO=OB (given)CO=OD (Given)∠AOC=∠BOD (Vertically Opposite angle)△AOC≡△BODHece we get, AC=BD (by c.p.c.t.c)

$A B$ and $C D$ bisect each other at $O$ . Prove that $A C = B D$