I was assiged a 44 question assigment and I really need some help.I'm stuck on this question:
"Find the coordinates of S for RS if Q is the midpoint and R is an endpoint.
Q(-6,-5),R(-4,4)
let the other endpoint be (x,y)
then (x-4)/2 = -6
x-4 = -12
x = -8
(y+4)/2 = -5
y+4 = -10
y = -14
the other endpoint is (-8,-14)
check by taking the midpoint between
(-8,-14) and (-4,4)
Thanks for your help!!!
To find the coordinates of point S for segment RS, we need to use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (Q in this case) are the average of the two endpoints' coordinates.
Let's denote the coordinates of point S as (x, y).
We know that the coordinates of point Q are (-6, -5) and the coordinates of point R are (-4, 4).
The midpoint formula is:
(x1+x2)/2, (y1+y2)/2
Substituting the known values, we can plug in the coordinates of Q and R into the formula:
((-4 + x)/2, (4 + y)/2) = (-6, -5)
Now, we can solve for x and y.
Equating the x-coordinates:
(-4 + x)/2 = -6
Multiply both sides by 2:
-4 + x = -12
Add 4 to both sides:
x = -8
Now, let's equate the y-coordinates:
(4 + y)/2 = -5
Multiply both sides by 2:
4 + y = -10
Subtract 4 from both sides:
y = -14
Therefore, the coordinates of point S for RS are (-8, -14).