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).

Step-by-step 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:

$(0,5.5) = (\frac{p + (-3)}{2} ,\frac{q+ (6)}{2})\\\implies \frac{p + (-3)}{2} = 0 , \frac{q+ (6)}{2} = 5.5\\\implies p = 0 + 3 = 3, q = 5.5 (2) - 6 = 11-6 = 5\\\implies p = 3, q = 5$

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