In the figure, OM is perpendicular to AB. Prove that M is the the midpoint of AB.

we know by looking at the picture that m is the midpoint of AB since O to M doted lines had half into two equal parts.so M is in the midpoints of AB.

Step-by-step explanation:

    to prove:  M is the midpoint of AB

         given:  OM is perpendicular to AB

construction: joint AO and BO

           proof: in the given fig,

                      OA and OB are joined

                      In Δ AOM and ΔBOM

                     AO = BO ( two sides of Δ AOB )

                    OM = OM ( common )

                   ∴ Δ AOM ≅ Δ BOM ( by SAS rule )

                    ∴ AM = BM ( by CPCT ) 1

                    ∴ M is the midpoint of AB ( from 1 )

                                 ⇒hence proved

 HOPE THIS HELPED and PLEASE MAKE ME AS THE BRAINLIEST

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step-by-step explanation: