Answer:
A is the midpoint
Step-by-step explanation:
Given
A(5.2) B(6,-3) and C(4.7)
Required
Which is the midpoint
Midpoint is calculated using:
[tex](x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)[/tex]
Testing A as the midpoint, we have:
[tex](5,2) = \frac{1}{2}(6+4,-3+7)[/tex]
[tex](5,2) = \frac{1}{2}(10,4)[/tex]
[tex](5,2) = (\frac{1}{2}*10,\frac{1}{2}*4)[/tex]
[tex](5,2) = (5,2)[/tex]
The above equation is true. Hence, A is the midpoint of B and C
