# Q : 11         In and , and .  Vertices A, B and C are joined to vertices D, E and F respectively (see Fig. ). Show that(iv) quadrilateral ACFD is a parallelogram

Answers (1)

To prove :  quadrilateral ACFD is a parallelogram

Proof :

In ABED,

AD=BE.................1(ABED is a parallelogram)

AD||BE .................2(ABED is a parallelogram)

In BEFC,

BE=CF.................3(BEFC is a parallelogram)

BE||CF .................4(BEFC is a parallelogram)

From 2 and 4 , we get

AD||CF...........................5

From 1 and 3, we get

AD=CF...........................6

From 5 and 6, we get

AD||CF            and              AD=CF

Thus, quadrilateral ACFD is a parallelogram

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