Question

Point M is the midpoint of AC , find the coordinates of the missing endpoint when you are given one endpoint, and the coordinates of the midpoint. M(0, 5.5) and C(-3, 6).

Answer 1

The coordinates of the point A is (3,5).

Explanation:

Here, given the line segment is AC.

Let us assume the coordinates of the point A = (p,q)

The point M (0,5.5) is the mid point of line segment AC.

By Mid-Point Formula:

The coordinates of the mid point M of segment AC is given as:

`(0,5.5) = ((p + (-3))/(2) ,(q+ (6))/(2))\\\implies (p + (-3))/(2) = 0 , (q+ (6))/(2) = 5.5\\\implies p = 0 + 3 = 3, q = 5.5 (2) - 6 = 11-6 = 5\\\implies p = 3, q = 5`

So, the coordinates of the point A is (3,5)