Question

Put points A, B, C, and D on a line consecutively, so that AB = BC = CD = 6 in. Find the distance between points M and N, the midpoints of segments
AB
and
CD
respectively.

Answer 1

The answer is:  " 3 inches " .
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Note:
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" 6 inches" / (2) = "3 inches" . 
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                        M      N
                         | 3 "   |  
<------------A------|------B------------C------------D------------>
                 |     6 in    |      6 in   |      6 in    |
                          |

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Answer 2

Answer with explanation:

It is given that , points , A, B , C and D lie on a line such that,

AB=BC=CD=6 inches

Draw a number line, such that, coordinate of

A=0, B=6, C=12, D=18.

It is given that, mid points of AB and CD is M and N , respectively.

Mid point of AB, which is M

                 $=\frac{0+6}{2}\\\\=3$

Mid Point of CD, which is N

                $=\frac{12+18}{2}\\\\=15$

So, MN=15-3

           =12 inches