Draw a rough figure and label suitably in each of the following cases: a point P lies on line segment AB, XY and PQ intersect at M, line L contains E and F but not D, OP and OQ meet at O.

To illustrate the scenarios described, let’s draw rough figures for each case:

Case A: Point P on Line Segment AB

Point P on Line Segment AB

In this case, line segment AB is drawn as a straight line, and point P is marked along this segment. Ensure that P is positioned between points A and B.

Case B: Intersections of XY and PQ at M

XY and PQ intersect at M

Draw two lines, XY and PQ, crossing each other. Mark their intersection point as M. This helps visualize how two lines can cross at a specific point.

Case C: Line L Contains E and F but Not D

Line L contains E and F but not D

In this figure, draw line L and place points E and F on this line. Point D should be represented away from line L to show that it is not included.

Case D: OP and OQ meet at O

OP and OQ meet at O

For this scenario, draw two lines, OP and OQ, that converge at point O. This illustrates how two lines can meet at a single point.

These drawings help clarify the relationships described in each scenario, making it easier to understand the concepts of points, lines, and intersections in geometry.

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