Question

D, E, F are the mid-points of sides BC, CA and AB respectively of ABC. Prove that AFDE is a parallelogram.​

Answer 1

Answer:

Step-by-step explanation:

In Δ ABC

D and F are midpoints of sides BC and AB respectively

FD║AC and FD=1/2 AC {mid point theoram}

FD║AE AND FD=AE {parts of ║ lines are║ and E is the midpoint of AC}

In a quadrilateral, if opposite sides are equal and ║ so it becomes a parallelogram

in quadrilateral AEDF  opposite sides are equal and parallel so AEDF is a paralleogram