Question

if AB and MN bisect each other at O and AM And BN are perpendicular on XY prove that triangles OAM and OBN are congruent and hence prove that AM=BN​

Answer 1

Answer:

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