Question

AB = AC , EAD = CAD and CD AB. Show that ABCD is a parallelogram.

Answer 1

AB=AC (PARALLEL LINES)

EAD=CAD(angles are same)

In this if diagonals r equal then it is a rectangle

If diagonals are not equal then it is a parallelogram.....

If u want clear of this information then go through 10th maths books

Answer 2

given:-AB=AC

          ∠EAD=∠CAD

           CD║AB

TO prove:-ABCD IS ║gm

PROOF:-In ΔABC and Δ DAC

              AC is common

             ∠DAC=∠ACB

   ∴         AD=BC

∴ Δ ABC≅DAC

∴ ABCD IS A ║gm(∵ A ║gm divides quadrilateral in 2 equal Δs.)