Question

In Fig. 67, FCGE and BGFE are parallelograms. Prove that GC = BG.​

Answer 1

Answer:

Step-by-step explanation:

parallelogram FCGE and BGFE are equal (because parallelograms on the same base and between same parallel lines are equal)

Then,

CG = FE = BG

Therefore,

CG = GB

Answer 2

Step-by-step explanation:

in a parallelogram, opposite sides are equal.

in FCGE,

FE=CG......(I)

in BCFE,

FE=GB.......(II)

from I and II we use Euclid's 1st axiom.

therefore, CG=GB