Question

4. In the given figure, if AB and MN bisect each other at Oand AM and BN are perpendiculars
on XY, prove that As, OAM and OBN are congruent and hence, prove that AM = BN
M​

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 henceAM=BN