Is Basic Proportionality theorem applicable to trapezium?

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I was studying vectors and came up with this question

Show that the line joining the midpoints of two non parallel sides of a trapezium is parallel to the parallel sides and is equal to half of their sum.

Is this anyhow mid point theorem for trapezium or is it applicable here?

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Just a hint: Try the following construction and extend the mid-point theorem for a triangle.

Additional hint: Perhaps congruency of triangles somewhere… enter image description here