Answer:
The answer is below
Step-by-step explanation:
a) If O(x, y) is the midpoint between two points X(x₁, y₁) and Y(x₂, y₂)m then the coordinates of O is:
x = (x₁ + x₂)/2; y = (y₁ + y₂) / 2
Since M(x, y) is the midpoint of AB, then the coordinates of M is:
x = (0 + 5) / 2 = 2.5; y = (1 + 0)/2 = 0.5
M = (2.5, 0.5)
b) The center of gravity is gotten by finding the average of the x coordinates and the y coordinates of the vertices of the triangle.
Let O(x, y) be the center of gravity of triangle ABC, hence;
x = (0 + 5 + 4) / 3 = 3
y = (1 + 0 + 2) / 3 = 1
O = (3, 1)
