6.1.3 Conditions for Parallelograms

Question 1

Theorem

Answer 1

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

Question 2

Theorem

Answer 2

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Question 3

Theorem

Answer 3

If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Question 4

Theorem

Answer 4

If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram.

Question 5

Theorem

Answer 5

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.