Match the reasons with the statements given. Given: A = B M is midpoint of Prove: AMC BMC 1. ∠A = ∠B, M is midpoint of AB Given 2. AM = MB Sides opposite = ∠s are = 3. AC = BC SAS 4. Triangle AMC congruent to Triangle BMC Definition of midpoint

Answer with Step-by-step explanation:We are given that M is the mid point of AB [tex]\angle A=\angle B[/tex]We have to match the reasons with statements given in proof.Proof:1.Statement:[tex]\angel A=\angle B[/tex], M is the midpoint of ABReason: Given 2.Statement:[tex]AM=MB[/tex]Reason: Definition of midpoint 3.Statement:[tex]AC=BC[/tex]Reason:Opposite sides of equal angle are equal.4.Statement:[tex]\triangle AMC\cong \triangle BMC[/tex]Reason:SAS Postulate