Answer:
a(4,3). b( 2,3). c(4,-1). d(-2,-1/2). e(5/2, 0).
Step-by-step explanation:
Hello , I can help you with that
the mid point is given by
Let
Point 1
[tex](x_{1},y_{1})[/tex]
Point 2
[tex](x_{2},y_{2})[/tex]
the midpoint is(m)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )[/tex]
all you have to do is to put those values into the equation
Step 1
P1(3,4) and P2(5,2)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{3+5}{2},\frac{4+2}{2} )\\m=(\frac{8}{2},\frac{6}{2} )\\m=(4,3)[/tex]
Step 2
P1(0,6) and P2(4,0)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{0+4}{2},\frac{6+0}{2} )\\m=(\frac{4}{2},\frac{6}{2} )\\m=(2,3)[/tex]
Step 3
P1(4,2) and P2(4,-4)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{4+4}{2},\frac{2-4}{2} )\\m=(\frac{8}{2},\frac{-2}{2} )\\m=(4,-1)[/tex]
Step 4
P1(-1,-5) and P2(-3,4)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-1-3}{2},\frac{-5+4}{2} )\\m=(\frac{-4}{2},\frac{-1}{2} )\\m=(-2,\frac{-1}{2} )[/tex]
Step 5
P1(-3,2) and P2(8,-2)
[tex]m=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2} )\\m=(\frac{-3+8}{2},\frac{2-2}{2} )\\m=(\frac{5}{2},\frac{0}{2} )\\m=(\frac{5}{2} ,0)[/tex]
I really hope it helps you, have a nice day
