Janie was given (-2, 3) as the endpoint of a line segment and (0,1) as its midpoint, which ordered pair should Janie choose as h

Question

lisov135 [29]

2 years ago

14

Janie was given (-2, 3) as the endpoint of a line segment and (0,1) as its midpoint, which ordered pair should Janie choose as h

e other endpoint?

Mathematics

1 answer:

MaRussiya [10] · Answer 1 · 2022-07-11T00:27:43+03:00

When given two end points of a segment say for example (X1,Y1) and (X2,Y2) to get the midpoint of the line or the segment we use the formula,
midpoint =( (X1+X2)/2 , (Y1+Y2)/2 )
therefore in our case the midpoint is (0,1)
hence, (-2 + X2)/ 2 = 0, thus X2 = 2
and (3 + Y2)/ 2= 1 , thus Y2 = -1
Therefore the other end point will be (2,-1). Thus none of the above paper can be used as the other end point.