Question

Pls solve this sum..i m confused

Answer 1

given BD = CE on adding DE on both sides

BD+DE = CE + DE => BE = CD

Now consider ∆le BGE & ∆le DFC

angle(GBD) = angle(FDC) as they are corresponding angles of parallel lines

BE = CD Proved above

angle(GEB) = angle(FCD) as they are corresponding angles of parallel lines

=> ∆ BGE Is congruent to ∆ DFC

this implies by CPCT:

BG = DF

CF = EG

HENCE PROVED.....