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

A is the midpoint

Explanation:

Given

A(5.2) B(6,-3) and C(4.7)

Required

Which is the midpoint

Midpoint is calculated using:

`(x,y) = (1)/(2)(x_1+x_2,y_1+y_2)`

Testing A as the midpoint, we have:

`(5,2) = (1)/(2)(6+4,-3+7)`

`(5,2) = (1)/(2)(10,4)`

`(5,2) = ((1)/(2)*10,(1)/(2)*4)`

`(5,2) = (5,2)`

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