Question

ABCD is a parallelogram midpoint of BC is E BD and AE intersect at F fins the ratio BF:Fd​

Answer 1

Answer:

Given: ABCD is a parallelogram and E is a point on BC. The diagonal BD intersects AE at F.

To prove :- AF x FB = EF x FD.

Proof:- Since ABCD is a paralellogram, then its opposite sides must be parallel.

∴ In Δ ADF and Δ EBF

∠FDA=∠EBF and ∠FAD=∠FEB  [Alternate interior angles]

∠AFD=∠BFE [vertically opposite angles]

∴ By AAA similarity rule

Δ ADF ≈ Δ EBF

Also, the correspondingsides of similar triangles are proportional.

∴

Hence proved.

Answer 2

Step-by-step explanation:

......I hope it's useful