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:

is a rhombus

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is a parallelogram

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is a rectangle

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None of the above

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Solution

The correct option is B
is a parallelogram

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

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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 parallelogram One 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
is a parallelogram

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