Explain why points and lines may be coplaner even when the plane containing them is not drawn. Give Examples.

The reason why points and lines my be co-planer even when the plane containing them is not drawn is because the by their definition two lines or a line and a  point or three points which are fixed in space always have have a direction of view from which they appear as a single line, or for the three points, appear to be on a single line.

This can be demonstrated by the shape of a cross which is always planner

Examples include

1) Straight lines drawn across both side of the pages of an open book to meet at the center pf the book can always be made planner by the orientation#

2) This can be also demonstrated by the plane of the two lines in the shape of a cross which is always planner regardless of the orientation of the cross

3) The dimension that can be defined by three points alone is that of a planner  (2-dimensional) triangle shape

Step-by-step explanation:

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step-by-step explanation: