Answer:
See Explanation
Step-by-step explanation:
The question is incomplete because the coordinates of A, B and C were not given in the question.
However, the following explanation will guide you...
The midpoints, C of two point A and B is calculated as:
[tex]C(x,y) = (\frac{x_1 + y_1}{2}, \frac{y_1 + y_2}{2})[/tex]
Where [tex](x_1, y_1)[/tex] are the coordinates of A
and
[tex](x_2,y_2)[/tex] are the coordinates of B
Take for instance, the given coordinates are
A(4,6); B(2,4) and C(3,5)
Then;
Plug in these values in the given formula:
[tex]C(x,y) = (\frac{x_1 + y_1}{2}, \frac{y_1 + y_2}{2})[/tex]
[tex](3,5) = (\frac{4 + 2}{2}, \frac{6 + 4}{2})[/tex]
[tex](3,5) = (\frac{6}{2}, \frac{10}{2})[/tex]
[tex](3,5) = (3,5)[/tex]
In that case,
C is really the midpoint
To the b part: Explaining why ratio 1:1 is used
The reason is that both parts of the ratio are in equal proportion (1 and 1);
Because of this equal proportion, ration 1:1 is right to calculate the midpoint
