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

AB

and

CD

.

I NEED CN PLS HELP

User Mahouk
by
5.5k points

1 Answer

4 votes

Answer:

12 cm

Step-by-step explanation:

Given that: AB = 6 cm, BC = 6 cm, CD = 6 cm.

Point M divides AB into two equal parts, so that'

AM = MB = 3 cm

Also, point N divides CD into two equal parts, so that;

CN = ND = 3 cm

Therefore, distance between the midpoints M and N of segments AB and CD is given as;

MN = MB + BC + CN

= 3 + 6 + 3

= 12

Thus, the distance between the midpoints MN is 12 cm.

User Ryan Prior
by
4.4k points