Mathematics

Mathematics

Problem

Two straight lines ll and mm intersect at OO forming a right angle. On line ll, take points AA and CC on opposite sides of OO such that OA=OCOA = OC. On line mm, take points BB and DD on opposite sides of OO such that OB=ODOB = OD. (i) Prove that △AOB≅△COD\triangle AOB \cong \triangle COD. (ii) Hence show that AB∥CDAB \parallel CD.

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