Three straight lines are drawn through the three vertices of a triangle ABC, the line through each vertex being parallel to the opposite side. The triangle DEF is bounded by these parallel lines. Consider the following statements in respect of the triangle DEF:
1Each side of triangle DEF is double the side of triangle ABC to which it is parallel.
2Area of triangle DEF is four times the area of triangle ABC.
Which of the above statements is/are correct?

Question

Three straight lines are drawn through the three vertices of a triangle ABC, the line through each vertex being parallel to the opposite side. The triangle DEF is bounded by these parallel lines. Consider the following statements in respect of the triangle DEF:

1Each side of triangle DEF is double the side of triangle ABC to which it is parallel.
2Area of triangle DEF is four times the area of triangle ABC.

Which of the above statements is/are correct?

Accepted Answer

Option C: Both 1 and 2