Question

in a given quadrilateral, each side is parallel to its opposite side and the diagonals are not perpendicular. what could it be? check all that apply.

a. parallelogram
b. rhombus
c. square
d. rectangle

Explanation:

Analyze the parallel sides condition

$$ \text{Opposite sides parallel} \implies \text{The quadrilateral must be a parallelogram.} $$

Analyze the diagonal condition

$$ \text{Diagonals are not perpendicular} \implies \text{Exclude shapes with perpendicular diagonals (Rhombus, Square).} $$

Identify the remaining valid shapes

$$ \text{Valid shapes: Parallelogram (general), Rectangle.} $$

Answer:

• A. Parallelogram (Correct answer)
• B. Rhombus
• C. Square
• D. Rectangle (Correct answer)