D is not the midpoint of line BG (false)
E is the midpoint of line AI (True)
M coordinates = (-1, 4)
M coordinates = (7, -3.5)
Explanation:
1) Distance or length of line BG = 5
The mid point is the point between them. The midpoint is the #rd number between line BG.
And the 3rd number is E not D.
Hence, D is not the midpoint of line BG (false)
2) Distance or length of line AI = 8
The mid point is the point between them. The midpoint is the 4th number between line AI.
And the 3rd number is E.
Hence, E is the midpoint of line AI (True)
3) A(1,2) and B(-3, 6)
Mid point formula:
[tex]\begin{gathered} M\text{ = }\frac{\mleft(x_1+x_2\mright)}{,2},\frac{y1_{}+y_2}{2} \\ M\text{ = }\frac{1-3}{2},\frac{6+2}{2} \\ M\text{ = -2/2, 8/2} \\ M\text{ = -1, 4} \end{gathered}[/tex]
4) A(6, -5) and B (8, -2)
[tex]\begin{gathered} M\text{ = }\frac{(x_1+x_2)}{,2},\frac{y1_{}+y_2}{2} \\ M\text{ = }\frac{6+8}{2},\frac{-5-2}{2} \\ M\text{ = 14/2, -7/2} \\ M\text{ = 7, -3.5} \end{gathered}[/tex]
