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

Byju's Answer

Standard IX

Mathematics

Theorem 5: One Pair of Opposite Sides Parallel and Equal

In Δ ABC and ...

Question

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). Then, quadrilateral ACFD:

i s a r h o m b u s

No worries! We‘ve got your back. Try BYJU‘S free classes today!

i s a p a r a l l e l o g r a m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

i s a r e c t a n g l e

No worries! We‘ve got your back. Try BYJU‘S free classes today!

N o n e o f t h e a b o v e

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $i s a p a r a l l e l o g r a m$
One pair of opposite sides (AD and CF) of quadrilateral ACFD are equal and parallel to each other, therefore, it is a parallelogram.

Suggest Corrections

Similar questions

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). Then, quadrilateral ACFD:

Q. Question 11 (i)
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 ABED 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 $\Delta ABC \cong \Delta DEF$ .

Q. Question 11 (i)
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 ABED is a parallelogram.

In ΔABC and ΔDEF, 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

(i) Quadrilateral ABED is a parallelogram

(ii) Quadrilateral BEFC is a parallelogram

(iii) AD || CF and AD = CF

(iv) Quadrilateral ACFD is a parallelogram

(v) AC = DF

(vi) ΔABC ≅ ΔDEF.

Join BYJU'S Learning Program

In ΔABC and ΔDEF, 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). Then, quadrilateral ACFD:

The correct option is B is a parallelogramOne pair of opposite sides (AD and CF) of quadrilateral ACFD are equal and parallel to each other, therefore, it is a parallelogram.

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). Then, quadrilateral ACFD:

The correct option is B $i s a p a r a l l e l o g r a m$
One pair of opposite sides (AD and CF) of quadrilateral ACFD are equal and parallel to each other, therefore, it is a parallelogram.