Answer:
(4,4)
Step-by-step explanation:
Let us assume A has coordinates (-3,1)
We were given that the midpoint of AC is (0.5,2.5).
Let the coordinates of C be (a,b) then by the midpoint theorem;
[tex](\frac{a+-3}{2},\frac{b+1}{2})=(0.5,2.5)[/tex]
Then:
[tex]\frac{a-3}{2}=0.5[/tex] and [tex](\frac{b+1}{2}=2.5[/tex]
[tex]\implies a-3=1[/tex] and [tex]b+1=5[/tex]
[tex]\implies a=1+3[/tex] and [tex]b=5-1[/tex]
[tex]\implies a=4[/tex] and [tex]b=4[/tex]
Therefore C has coordinates: (4,4)
