Question

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Which of the following statements is TRUE about using a quadrilateral to construct a parallelogram?

A. All sides of the quadrilateral must be congruent and all angles must be congruent?

B. Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.

C. The sides of the quadrilateral can be any length and the angles can be any measure.

D. Adjacent sides of the quadrilateral must be perpendicular and adjacent angles must be congruent.

Answer 1

Answer: Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.

Explanation:

If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.