Question

If a and b are positive numbers, what are the coordinates of the midpoint of line segment cd in the xy-plane? (1) the coordinates of c are (a, 1 – b). (2) the coordinates of d are (1 – a, b).

Answer 1

Midpoint =
`((x_(1) + x_(2) )/(2)`,
`(y_(1) + y_(2) )/(2))`

=
`((a + (1 - a) )/(2)`,
`((1 - b) + b )/(2))`

=
`((1 )/(2)`,
`(1)/(2))`