Question

If D is the midpoint of AB and E is the midpoint of DA, Where is E? A=(5,-6)B=(5,10)E=?

Answer 1

Given that D is the midpoint of AB, and the coordinate of A and B are;

`\begin{gathered} A=(5,-6) \\ B=(5,10) \end{gathered}`

Note: The mid point x of two points x1 and x2 can be derived from;

`x=(x_1+x_2)/(2)`

The mid point of AB is;

`\begin{gathered} D=((5+5)/(2),(-6+10)/(2)) \\ D=(5,2) \end{gathered}`

E is the midpoint of DA, the mid point of D and A is;

`\begin{gathered} E=((5+5)/(2),(-6+2)/(2)) \\ E=((10)/(2),(-4)/(2)) \\ E=(5,-2) \end{gathered}`

The coordinates of E is;

`E=(5,-2)`