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.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J
The set of collinear points is a set of points that lie on the same straight line. Looking at the options given, the set of collinear points in this case is:
C. G, H, J
To determine which set of points is a set of collinear points, we need to understand what collinear points are. Collinear points are points that lie on the same line.
Let's analyze the given options:
A. G, H, I: These points are not collinear because there is no line passing through all three points, as the line passing through G, I, K intersects at H, making them non-collinear.
B. L, H, I: These points are not collinear either, as there is no line passing through L, H, I. The line passing through L and J intersects at H, making them non-collinear.
C. G, H, J: These points are also not collinear because there is no line passing through all three points. The line passing through L and J intersect at H, making them non-collinear.
D. G, I, J: These points are collinear because the line passing through G, I, K intersects with the line passing through L and J at point H, and all three points lie on this line.
Therefore, the correct set of collinear points is option D: G, I, J.