The midpoint of ST has coordinates (5,-8). Find the coordinate of point S when T (10,18)
Mathematics · High School · Thu Feb 04 2021
llm
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the midpoint of points (x1,y1) and (x2,y2) is (x,y)
where x= x1+x2 /2 and y=y1+y2 /2
given that:- midpoint of ST = (5,-8)=(x,y)
coordinate of point T (10,18)=(x2,y2) now, let coordinate of point S=(x1,y1)
5=x1+10/2
5=2(x1)+10 /2
10-10=2(x1)
0/2=x1
x1=0
-8=y1+18/2
-8=2(y1)+18 /2
-16-18=2(y1)
-34/2=y1
y1= -17
S=(x1,y1)=(0,-17)