The distance between points M and N, the midpoints of segments AB and CD is 12 in.
What does a midpoint mean?
Midpoint, as the word suggests, means the point which lies in the middle of something.
The midpoint of a line segment means a point that lies in the mid of the given line segment.
It is given that, points, A, B, C, and D lie on a line so that,
AB=BC=CD=6 inches
AD = 6 x 3 = 18 in.
Draw a number line, such that, the coordinate of
A=0, B=6, C=12, D=18.
It is given that, the midpoints of AB and CD are M and N, respectively.
Midpoint of AB,
AM = AB/2
= 6/2
= 3 in.
Mid Point of CD
DN = CD/2
= 6/2 = 3in.
MN = AD - (AM+DN)
= 18 - (3+3)
= 12 in.
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