Answer soon please and thank you! (3,-6) is an endpoint coordinate on a line segment, where the midpoint is given to us as (1, -
2). What is the coordinate of the other endpoint of the line segment?
A. (3, -1)
B. (1, -1)
C. (-1, 2)
D. (-3, 6)
A. (3, -1)
B. (1, -1)
C. (-1, 2)
D. (-3, 6)
1 answer:
Answer:
C. (-1, 2)
Step-by-step explanation:
The midpoint has coordinates that are the average of the endpoint coordinates. If the endpoints are A and B, and the midpoint is M, the equation for this is ...
M = (A+B)/2
Solving for B, we get ...
2M = A + B
2M - A = B
This tells us we can find the other endpoint by subtracting the coordinates of the given endpoint from twice the midpoint coordinates. (It is useful to remember this.)
B = 2(1, -2) - (3, -6) = (2-3, 2(-2)-(-6)) = (-1, 2)
The other endpoint is (-1, 2).
_____
You can also graph the points and find one as far from center as the given endpoint is.
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