Question

in the given figure D, E, Fare respectively the midpoints of the sides AB, BC and CA of triangle ABC prove that ADEF is the parallelogram​

Answer 1

mark it brainliest please,

given ,

D is the mid point of AB

F is the mid point of AC

E is the mid point of BC

here,

FE joins two mid points

so , my mid point theorem in triangle ABC

FE= 1/2AB ....(i)

and FE ║ AB....(ii)

AD= 1/2 AB....(iii) (D is the mid point of AB)

by (i),(ii)and(iii),

AD=FE

and FE║AD (AD is a part of AB)

as one pair of opposite sides are parallel and equal

ADEF is a parallelogram

Answer 2

Answer:

ADEF is a parallelogram