Ab is a directed segment with endpoints a(2,2) and b(14,14). in two or more complete sentences, explain how you would verify that point x, with a coordinate of (6,6), divides ab in a 1: 2 ratio?

Yes, point X, with a coordinate of (6,6), divides AB in a 1:2 ratio

Step-by-step explanation:

We have been given the endpoints for AB as A(2,2) and B(14,14). The point X divided the line segment AB in 1:2 ratio and the coordinate of X is (6,6)

We know that if a point divides a line segment in m:n ratio then the coordinate of the point is given by

On substituting the known values, we can find the coordinate of X and check if it is same with the given coordinate or not

Since, we got the same X coordinate as the given.

Hence, the given statement is verified.