Question

points D and E are the midpoints of side AB and AC of triangle ABC respectively. point F is on ray ED such that ED=DF . Prove that AFBE is a parallelogram​

Answer 1

Answer:

$\huge\colorbox{yellow}{Given\:-}$

D and E are the midpoints of side AB and AC of triangle ABC respectively.

$\huge\colorbox{yellow}{To\:Prove\:-}$

AFBE is a parallelogram

$\huge\colorbox{yellow}{Proof\:-}$

seg AB and seg EF are the diagonals of AFBE.

seg AD ≅ seg DB [Given]

seg DE ≅ seg DF [Given]

∴ Diagonals of AFBE bisect each other.

$\pink{∴ AFBE \: \: is \: \: a \: \: parallelogram}$

$\huge\colorbox{yellow}{Thank\:You}$

Answer 2

Answer:

Step-by-step explanation:

given:points D and E are midpoints of side AC of ∆ABC,point F is on ray ED such that ED=DF.

To Prove: That quadrilateral AFBE is a parallelogram.

Proof: seg AB and seg EF are diagonals of quadrilateral AFBE.

seg AD = seg DB ..... Given

seg ED = seg DE ..... Construction

 Diagonals of quadrilateral AFBE bisect each other

quadrilateral AFBE is a parallelogram ...by SAS test