Question

ine segment AB and CD bisects at O. Join AC and BD. prove that triangle AOC congruent to triangle BOD

Answer 1

To prove=AOC is congruent to BOD

angle O =angle O{V.O.A}

AO=OB{O is bisector}

CO=OD{O is the bisector}

therefore both triangles are congruent

Answer 2

AO=OC. (given)
<AOC=< BOD. (Alternate exterior angle)
OB=OD. ( AB bisect CD)

By SAS congruency rule triangle AOC congruent to triangle BOD