How to find a point if you have the midpoint
Asked by admin @ in Mathematics viewed by 309 People
Find the missing endpoint if s is the midpoint of rt r(-9,4) and s(2,-1) ; find T
Asked by admin @ in Mathematics viewed by 309 People
Find the missing endpoint if s is the midpoint of rt r(-9,4) and s(2,-1) ; find T
Answered by admin @
Answer: The required co-ordinates of point T are (13, -6).
Step-by-step explanation: given that S is the midpoint of the line segment RT, where the co-ordinates of point R are (-9, 4) and that of S are (2, -1).
We are to find the co-ordinates of point T.
We know that
the co-ordinates of the mid-point of a line segment with endpoints (a, b) and (c, d) are given by
Let (h, k) be the co-ordinates of point T. Then, according to the given information, we have
and
Thus, the required co-ordinates of point T are (13, -6).
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