If x and y are midpoints of AC and BC and AX=CY then show AC=BC
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BC = BY+CY
BY=CY ( Y is the midpoint of BC)
AC = AX+CX
AX=CX ( X is the midpoint of AC)
By Axiom 2 : If equals are added to equals their wholes are equal.
BY+CY=AX+CX
AC=BC
BY=CY ( Y is the midpoint of BC)
AC = AX+CX
AX=CX ( X is the midpoint of AC)
By Axiom 2 : If equals are added to equals their wholes are equal.
BY+CY=AX+CX
AC=BC
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