If m is the midpoint of line ab, then m is between a and b and am=mb. converse: bioconditional

given: m is the midpoint of line ab

postulate 5: a midpoint of a line segment is the halfway point either end point of the line.

m is between a and b

so, am=mb

to proof=

as given m is the midpoint of line ab.

definition of the mid point

a point on a line segment that divides it into two equal parts

as shown in the diagram given below.

am =

mb =

thus

am = mb

hence proved

now bioconditional

given: m is between a and b,   am=mb

prove that m is the midpoint of line ab.

to proof

ab = am + mb

( as given am = mb)

put in the above equation

ab = 2am

i.e m is the point divided ab in two equal parts.

by definition of the mid point

m is the mid point of ab.

hence proved

im here

step-by-step explanation:

step-by-step explanation:

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