Question

ABCD is a trapezium, ab||dc and F is the midpoint of AD. prove that (i) AB=DC (ii) CE =AB + CD​

Answer 1

Step-by-step explanation:

as ABCD a trapezium AB||CD so AB||CE

IN ΔAFE and ΔEFD

AF = FD (F MID OF AD)

angAFB = angEFD(VOA)

angEFD = angFAB(AIA)

SO ΔAFE ≅ ΔEFD

AB=ED

AS CE=CD+DE

SO CE=AB+CD(AS AB=ED)