Question

Which one of the points A(5.2). B(6,-3) and C(4.7) is the mid-point of the other two? Check your answer by calculating two distances.​

Answer 1

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:

$(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)$

Testing A as the midpoint, we have:

$(5,2) = \frac{1}{2}(6+4,-3+7)$

$(5,2) = \frac{1}{2}(10,4)$

$(5,2) = (\frac{1}{2}*10,\frac{1}{2}*4)$

$(5,2) = (5,2)$

The above equation is true. Hence, A is the midpoint of B and C