Question

egiven figure, if AB and MN bisect each other at O and AM and BN are perpendiculars
prove that As, OAM and OBN are congruent and hence, prove that AM = BN.
A​

Answer 1

Step-by-step explanation:

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