From the diagram given below, if P, Q and R are mid points of sides AB, BC and AC respectively, then ΔRQP is congruent to ΔBDE, ΔDAF and ΔEFC.

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The midpoint theorem or midline theorem states that if the midpoints of two sides of a triangle are connected, then the resulting line segment will be parallel to the third side and have half of its length.


From the diagram given below, if P, Q and R are mid points of sides AB, BC and AC respectively, then ΔRQP is congruent to ΔBDE, ΔDAF and ΔEFC.<br /><img src='https://www.fatskills.com/class9maths/mathematics-questions-answers-mid-point-theorem-q10.png' width='291' height='235' />