Question

The midpoint of line CD is E(-1,0). One endpoint is C(5,2). What are the coordinates of the other end point?

Answer 1

@MrNood can you help with this one?

Answer 2

you know the midpoint - so the distance from one end to the midpoint is the same as the distance from the midpoint to the other end:

So - working always in th same direction

work out the change in X from end to midpoint then continue the SAME amount to the other end X

and
work out the change in Y from end to midpoint then continue the SAME amount to the other end Y

Answer 3

One endpoint is C(5,2). Let the other end point be (p, q).
The midpoint is given by the formula: ( (p+5)/2, (q+2)/2 ).
The midpoint is (-1, 0).
Therefore, (p+5)/2 = -1. Solve for p.
(q+2)/2 = 0. Solve for q.

Answer 4

so would it be (-2.5,0) @aum

Answer 5

(p+5)/2 = -1
multiply by 2:
p + 5 = -2
add -5:
p = -7

(q+2)/2 = 0
multiply by 2:
q + 2 = 0
subtract 2:
q = -2

The other endpoint is (-7, -2)