Three vertices of a parallelogram are ( 5, 12 ), ( 2,7 ) and ( 6, 1 ) joined in the order named. Find the 4th vertex

Question

This is a lesson about Division of a Line Segment and Midpoint of a Line Segment, can you please solve this with a clear solution and the formula used.

Answer 1

(9,6) = 4th vertex

(2,7) to (6,1) is right 4 and down 6

6-2=4

7-1=6

from (5,12) to (9,6) is right 4 and down 6

9-5=4

12-6=6

it helps to plot the points