Question

if AB and MN bisect each other at O and AN and BN are perpendicular on xy, prove that triangles, OAM andOBN are congruent and hence prove that AM=BN

Answer 1

AB and MN bisect each other
therefore AO=BO,MO=NO
in TriangleAMO and BNO
angle AMO=angleBNO
AO=BO
MO=NO
by RHS congruence rule
triangleAMO and BNO are congruent
therefore triangleOAM andOBN are also congruent
and hence AM=BN