CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Theorem 5: One Pair of Opposite Sides Parallel and Equal

Question 11 i...

Question

Question 11 (ii)
In $Δ A B C$ and $Δ D E F$ ,AB=DE, AB || DE, BC =EF and BC || EF. Vertices A, B and C are joined to vertices D,E and F respectively ( see the given figure). Show that Quadrilateral BEFC is a parallelogram.

Open in App

Solution

BC = EF and BC || EF
Since a pair of opposite sides is equal and parallel,
therefore, the quadrilateral BEFC is a parallelogram.

Suggest Corrections

thumbs-up

0

Similar questions

Q. Question 11 (ii)
In

Δ A B C

Δ D E F

,AB=DE, AB || DE, BC =EF and BC || EF. Vertices A, B and C are joined to vertices D,E and F respectively ( see the given figure). Show that Quadrilateral BEFC is a parallelogram.

Q. Question 11 (vi)
In \(\Delta ABC\) and \(\Delta DEF\), AB=DE, AB || DE, BC =EF and BC ⃦EF. Vertices A, B and C are joined to vertices D, E and F respectively ( see the given figure). Show that \(\Delta ABC \cong \Delta DEF\) .

Δ A B C

Δ D E F

A B = D E

A B ∥ D E

B C = E F

B C ∥ E F

A, B

C

are joined to vertices

D, E

F

respectively. Show that quadrilateral

B E F C

is a parallelogram.

Q. Question 11 (iv)
In

Δ A B C a n d Δ D E F

,AB=DE, AB || DE, BC =EF and BC ⃦EF. Vertices A, B and C are joined to vertices D, E and F respectively ( see the given figure). Show that Quadrilateral ACFD is a parallelogram.

Q. Question 11 (iv)
In

Δ A B C a n d Δ D E F

,AB=DE, AB || DE, BC =EF and BC ⃦EF. Vertices A, B and C are joined to vertices D, E and F respectively ( see the given figure). Show that Quadrilateral ACFD is a parallelogram.

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Theorem 5: One Pair of Opposite Sides Parallel and Equal

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon