Question

In $\Delta ABCand\Delta DEF$, 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).

• A. $AC||DF$
• B. $AC=DF$
• C. The relation between AB and DF can't be determined
• D. None of these

Answer 1

Answer: (A), (B)

The correct options are
A

$AC||DF$

B

$AC=DF$

As ACFD is a parallelogram, therefore, the pair of opposite sides will be equal and parallel to each other.
$\therefore$ AC || DF and AC = DF.