Question

Two parallelograms ABCD and ABEF are equal in area, they lie between the same parallel lines:

Options

• Yes

• No

• Nothing can be said

Answer 1

Nothing can be said

Explanation:

Two parallelograms can be equal in area even if they do not lie between the same parallel lines, provided that the product of their respective bases and heights is equal (b₁ × h₁ = b₂ × h₂). Conversely, knowing only that two parallelograms are equal in area does not automatically guarantee that they share the same set of parallel lines. Therefore, nothing definite can be concluded about whether they lie between the same parallel lines.