Question

Triangle RST has coordinates R(-1,7), S(3,-1), and T(9,2). Find the coordinates of point X, the midpoint of side RS.

a) (1, 3)
b) (2, 3)
c) (2, 8)
d) (4, 5)

Answer 1

(a) : (1, 3 )

Explanation:

calculate the midpoint (M) using the midpoint formula

M = (
`\frac{x_{1+x_(2) } }{2}` ,
`\frac{y_{1+y_(2) } }{2}` )

let (x₁, y₁ ) = R (- 1, 7 ) and (x₂, y₂ ) = S (3, - 1 )

substitute these values into the formula for M

M = (
`(-1+3)/(2)` ,
`(7-1)/(2)` ) = (
`(2)/(2)` ,
`(6)/(2)` ) = (1, 3 )