If ABCD is a quadrilateral,and the midpoints | vedclass

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(B) Let $P, Q, R, S$ be the midpoints of sides $AB, BC, CD, DA$ respectively. By the Midpoint Theorem in $	riangle ABC$,$PQ \parallel AC$ and $PQ = \

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Parallelogram

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(B) Let $P, Q, R, S$ be the midpoints of sides $AB, BC, CD, DA$ respectively. By the Midpoint Theorem in $	riangle ABC$,$PQ \parallel AC$ and $PQ = \frac{1}{2} AC$. Similarly,in $	riangle ADC$,$SR \parallel AC$ and $SR = \frac{1}{2} AC$. Thus,$PQ \parallel SR$ and $PQ = SR$. Since one pair of opposite sides is equal and parallel,the quadrilateral $PQRS$ is a parallelogram. This result is known as the Varignon's Theorem.

If $ABCD$ is a quadrilateral,and the midpoints of consecutive sides $AB, BC, CD$,and $DA$ are joined by straight lines to form a quadrilateral $PQRS$,then $PQRS$ is always:

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