Question

M is the midpoint of AB. Find the coordinates of B given A(3,8) and M(5,4).

Answer 1

Answer: B(7,0)

Step-by-step explanation:

Since coordinate of A(3,8) and M(5,4), where M is the midpoint of AB.

Let the coordinate of B be (x,y)

Therefore, the distance AM is equal to distance MB.

Distance = sqrt{ (5 - 3)² + (4-8)² } =sqrt { (x-5)² + (y-4)²}

Comparing corresponding coordinates,

5-3 = x-5

x= 5+5-3 = 7

4-8 = y-4

y= 4-8+4= 0

Therefore, the coordinate of B is (7,0)