MyQuestionIcon

3

You visited us 3 times! Enjoying our articles? Unlock Full Access!

Elements of a Parallelogram

In the adjace...

Question

In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles and C respectively .Show that AE llCF.

Open in App

Solution

show that AE parallel to CF
in llgm AFCD
AF parallel to EC ( part of llgm ABCD )
and AF = EC ( mid point )
if one pair of opposite sides are equal and parallel then it is a llgm
if AFCE is llgm then AE is parallel to FC

Suggest Corrections

thumbs-up

6

Similar questions

In the adjacent figure, ABCD is a parallelogram and line segments AE and CF bisect the angles A and C respectively. Show that AE || CF.

Q. In the adjacent figure, ABCD is a parallelogram and the line segments AE and CF bisect the angles A and C respectively. Show that AE=CF

Q. In the following figure,ABCDis a parallelogram and line segments AE and FC bisect the angles A and C respectively. Show that AE is parallel to FC

Q. ABCD is a parallelogram, and AE and CF bisect

∠ A

∠ C

respectively. Prove that AE || FC.

A B C D

is a parallelogram, and

A E

C F

∠ A

∠ C

respectively. Prove that

A E ∥ F C

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Properties of Parallelograms

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Elements of a Parallelogram

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon