Which is a set of collinear points?
Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
G,H,J
H,L,G
G,I,K
K,J,G
H,I,K
choice one of the choices
"The other line goes through points G, I, and K."
clearly, G,I,K are collinear
and since both lines intersect at H, H,I,K are also collinear
A set of collinear points refers to a group of points that lie on the same straight line. To identify a set of collinear points, we need to find points that can be connected by a straight line without any breaks.
Among the given options:
- G, H, J: These three points are not collinear since they cannot be connected by a straight line.
- H, L, G: Similarly, these three points cannot be connected in a straight line.
- G, I, K: These three points are collinear since they can be connected by a straight line.
- K, J, G: Once again, these three points can be connected in a straight line.
Therefore, the set of collinear points from the options provided is G, I, K.