Question

identify the theorem you can use to show that the quadrilateral is a parallelogram.
image of a parallelogram with sides labeled 7 in, 5 in, 7 in, 5 in

• parallelogram diagonals converse
• parallelogram opposite angles converse
• parallelogram opposite sides converse
• opposite sides parallel and congruent theorem

Explanation:

The given quadrilateral has both pairs of opposite sides congruent (7 in and 5 in for each pair of opposite sides). The theorem that states if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram is the Parallelogram Opposite Sides Converse.

Answer:

Parallelogram Opposite Sides Converse