Answer:
[tex](1,3)[/tex] and [tex](4,3)[/tex]
Step-by-step explanation:
we know that
The formula to calculate the midpoint between two points is equal to
[tex]M(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
step 1
Find the midpoint segment RT
we have
R(0,6) and T(2,0)
substitute in the formula
[tex]U(\frac{0+2}{2},\frac{6+0}{2})[/tex]
[tex]U(1,3)[/tex]
step 2
Find the midpoint segment RS
we have
R(0,6) and S(8,0)
substitute in the formula
[tex]V(\frac{0+8}{2},\frac{6+0}{2})[/tex]
[tex]V(4,3)[/tex]
therefore
The endpoints of the mid-segment for △RST that is parallel TS is the segment UV
[tex](1,3)[/tex] and [tex](4,3)[/tex]