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Explain Bot To determine which set of points is collinear, we need to understand the concept of collinearity. In geometry, collinear points are points that lie on the same straight line.
To find out whether a set of points is collinear, we can apply a simple test. We need to check if these points can be connected by drawing a straight line through them without intersecting any other points.
Looking at the given options:
- Option 1: OJ, H, I
- Option 2: L, H, J
- Option 3: OJ, G, L
- Option 4: OL, K, H
To check if a set of points is collinear, we can imagine and visualize a line connecting the points in each option. If the line can pass through all the points without crossing any other point, then the points are collinear. However, if the line intersects or crosses another point(s), then the points are not collinear.
Let's examine each option:
1. OJ, H, I: We cannot draw a straight line through OJ, H, and I without intersecting or crossing another point.
2. L, H, J: We can draw a straight line through these points without crossing any other point, so this set is collinear.
3. OJ, G, L: We cannot draw a straight line through these points without intersecting or crossing another point.
4. OL, K, H: We cannot draw a straight line through these points without intersecting or crossing another point.
Therefore, the set of collinear points is L, H, J (Option 2) since we can draw a straight line passing through these points without intersecting any other point.