Question

does any1 kno how 2 find the coordinates of a end point of a segment with the given end point and mid point?

Answer 1

Yes,

Answer 2

kan u help

Answer 3

sure ,post the question

Answer 4

k wait a minuet

Answer 5

A(6,7)
m(10,-7)

Answer 6

find the difference
(4,-14)

Answer 7

you hav 2 divide both of them by two though

Answer 8

add to mid point
(14,-21)

Answer 9

were did u get 4,-14?

Answer 10

10-6
-7-7

Answer 11

imranmeah kan u show steps pls?

Answer 12

A(6,7)
m(10,-7)

so you know the distance between mid point and one end point is same as it is to the other end point

To go from A to m
x goes up by 4 ->(10-6)
y goes by -14 -> (-7-7)

Answer 13

IF given an endpoint and if given the midpoint, we can find the other endpoint:
first let's think

*-----------*------------*
End Mid End

How can we relate these?

Well to find the midpoint we do:
\[( \frac{firstendx+lastendx}{2}, \frac{firstendy+lastendy}{2})=Midpoint(x,y)\]

so we have the equations
\[x=\frac{firstendx+lastendx}{2}, y=\frac{firstendy+lastendy}{2}\]
where (x,y) we are using to symbolize the midpoint
we want to solve for one of the ends
lets say we are trying to find the lastend
so we have
\[2x-fristendx=lastendx, 2y-firstendy=lastendy\]
so we can find the endpoint by using
(\[(2x-firstendx,2y-firstendy)\]
do i say this right
i will review in a second lol

Answer 14

knowing that we add that x and y difference to mid point to get other end point
difference -->4,-14
mid point -->10,-7
------
(14 , -21)

Answer 15

:) yes looks good

Answer 16

if you understand my symbolism lol

Answer 17

using my formula above we say
the other endpoint is
\[(2(10)-6,2(-7)-7)=(20-6,-14-7)=(14,-21)\]

Answer 18

which is the samething as what imran got

Answer 19

choose your favorite way

Answer 20

i mean you don't have to tell us lol

Answer 21

you just have to find out whats right for you

Answer 22

It's okay, no hard feeling

Answer 23

lol