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Points A, B, C, and D lie on a line consecutively so that AB = BC = CD = 6 in. Find the distance between the midpoints of segments AB and CD . Answer: Distance between midpoints is in

2 Answers

4 votes

Answer:

Explanation:

12in

User Liatz
by
3.5k points
4 votes

Answer: 12 inches

Explanation:

Given that :

Points A, B, C, and D lie on a line consecutively so that AB = BC = CD = 6 in

Therefore, A, B, C and D lie on a line which has a distance of 6 inches between each consecutive point.

A could be taken as the starting point with and D taken the end of the line with B and C in between them.

For instance:

A = 6; B = 12 ; C = 18 ; D = 24

Midpoint of AB = (12 + 6) / 2 = 18/2 = 9

Midpoint of CD = (18 + 24) / 2 = 42/2 = 21

Distance between the Midpoint AB and CD equals:

Midpoint CD - Midpoint AB

(21 - 9) inches = 12 inches

User Michael Kuhinica
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