You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question
\( \mathrm { ABCD } \) is a parallelogram. The sides \( \mathrm { AB } \) and AD are produced to \( E \) and \( F \) respectively such that \( A B = B E \) and \( A D = D F \) Prove that \( : \Delta \mathrm { BEC } \cong \Delta \mathrm { DCF } \)
Open in App
Solution
Verified by Toppr
Was this answer helpful?
0
Similar Questions
Q1
ABCD is a parallelogram. The sides AB and AD are produced to E and F respectively, such that AB = BE and AD = DF.
Hence ΔBEC≅ΔDCF.
State whether the above statement is true or false.
View Solution
Q2
ABCD is a parallelogram. The sides AB and AD are produced to E and F respectively, such that and .
Prove that .
View Solution
Q3
In the figure, ABCD is a parallelogram is produced to E such that AB=BE. AD produced to F such that AD=DF. Show that △FCD≅△CBE.
View Solution
Q4
The side AB of the parallelogram ABCD is produced to X and the bisector of ∠CBX meets DA produced and DC produced at E and F respectively. Prove that DE=DF=AB+BC
View Solution
Q5
DF and BE are the height on sides AB and AD respectively in parallelogram ABCD. If the area of the parallelogram is 1470cm2,AB=35cm and AD=49cm, find the length of BE and DF.