Respuesta :
The distance between [tex]M[/tex]and [tex]N[/tex], which are the midpoints of segments [tex]AB[/tex] and [tex]CD[/tex] is [tex]12cm[/tex].
What is segment?
Segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.
What is line?
Line is defined as a straight [tex]1D[/tex] figure having no thickness and extending infinitely in both directions.
We have,
[tex]AB=BC=CD=6cm[/tex],
And, [tex]M[/tex]and [tex]N[/tex] are the midpoints of segments [tex]AB[/tex] and [tex]CD[/tex].
According to question,
[tex]AB=BC=CD=6cm[/tex],
So,
Total length of line is [tex]18cm[/tex].
As [tex]M[/tex] and [tex]N[/tex] are midpoints of and [tex]AB[/tex] and [tex]CD[/tex],
So,
[tex]MN=18-(AM+BN)[/tex]
[tex]MN=18-6[/tex]
[tex]MN=12cm[/tex]
Hence, we can say that the distance between [tex]M[/tex]and [tex]N[/tex], which are the midpoints of segments [tex]AB[/tex] and [tex]CD[/tex] is [tex]12cm[/tex].
To know more about lines click here
https://brainly.com/question/12728072
#SPJ2
