Answer:
so the coordinates of C are (12,29)
Step-by-step explanation:
as we know that CD is a line segment and M is its mid-point in order to find the coordinates of C we will use mid-point formula
[tex]M(x,y)=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
putting the values of known coordinates
[tex](15,-6.5)=(\frac{x1+18}{2},\frac{y1+(-16)}{2})[/tex]
comparing the coordinates separately
[tex]15=\frac{x1+18}{2}[/tex] and [tex]-6.5=\frac{y1-16}{2}[/tex]
15×2=x1+18 and -6.5×2=y1-16
30=x1+18 and 13=y1-16
30-18=x1 and 13+16=y1
12=x1 and 29=y1
so the coordinates of C are (12,29)
in order to check the values put it back in the mid-point formula to find the coordinates of M
I HOPE THIS WILL HELP YOU :)
