Point P does not lie in the plane of trapezoid ABCD. With the foundation of AD and BC.
| February 5, 2021 | education
Point P does not lie in the plane of trapezoid ABCD. With the foundation of AD and BC. Prove that the line through the midpoints of PB and PC is parallel to the midline of the trapezoid.
Let’s build the middle line of the KM trapezoid of AВСD. By the property of the midline, it is parallel to the bases of the trapezoid. KM || AD || ВС.
In the РВС triangle, the segment OH is its middle line, according to the properties of which it is parallel to the base of the BC.
If two lines are parallel to the third line, then these lines are parallel to each other, then OH || KM, as required.
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