Find the coordinates of the other endpoint of each segment g

Find the coordinates of the other endpoint of each segment, given its midpoint and one endpoint. See Example 5(b) midpoint (5, 8), endpoint (13, 10) midpoint (-7, 6), endpoint (-9, 9)

Solution

For endpoints (x1,y1) and (x2, y2) the mid point is given by : ({x1+x2}/2, {y1+y2}/2)

31. Given: (x1,y1)=(13,10) & midpoint=(5,8)

Therefore, ({x1+x2}/2, {y1+y2}/2) =(5,8)

=> (13+x2)/2=5 & (10+y2)/2=8

=> x2 = 5*2-13 & y2 = 8*2-10

=> x2=-3 & y2=6

Hence, (x2,y2)=(-3,6)

32. Follow the same process as above.

(x2, y2) = (-5,3)