Question

The midpoint of segment AB is (6,5). The coordinates of point A are (7,10). Find the coordinates of point B.

Answer options: (5,10) (8,15) (-3,7)

Answer 1

option 2 : ( 8 , 15 )

Explanation:

A ( 6 , 5 )

Mid point ( 7, 10)

B ( x , y )

x coordinate of B

`Mid point = (6 + x )/(2)\\\\7 = (6 +x )/(2)\\\\7 * 2 = 6+x\\\\14 - 6= x\\\\8 = x`

y coordinate of B

`midpoint = (y +5 )/(2)\\\\10 = (y +5 )/(2)\\\\10 * 2 = y + 5\\\\20 - 5 = y \\\\15 = y`

B = ( 8 , 15)

Answer 2

Explanation:

none of the options is correct

the answer is (5,0)