# Prove that bisectors of opposite angles of a parallelogram are parallel.

2
by Suzy

2015-06-21T10:28:43+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
ABCD is parallelogram..............given
DE bisect < D, BF bisect < B..................given
<D = <B....................opposite angles of parallelogram are equal
<1 = <2 ................equal angle bisect still equal
<A = <C ....................opposite angles of parallelogram are equal
AD = BC ......................opposite sides of parallelogram are equal
DE = BF..................CPCTC
2015-06-21T11:43:26+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
ABCD is parallelogram   (given )
DE bisect < D, BF bisect < B  (given )
<D = <B             (opposite angles of parallelogram are equal )
<1 = <2               (equal angle bisect still equal)
<A = <C              .(opposite angles of parallelogram are equal )
AD = BC           (opposite sides of parallelogram are equal)
ΔADE ≅ ΔCBF    by .ASA  congruence condition
DE = BF          BY.CPCT  PROVED