Fill in the missing statements and reasons in the proof. given: pqrs is a parallelogram. prove: pr and qs bisect each other at t.

We have to complete the proof.

PQRS is a parallelogram          1. Given

2.    Definition of a parallelogram

m∠1 ≅ m∠3                  4. Alternate interior angles are equal or

m∠2 ≅ m∠4                       congruent.

     Opposite sides of a parallelogram are congruent

ΔPQT ≅ ΔRST     5. Triangle are congruent by Angle-Side-

                                 Angle congruent rule

  6. Corresponding parts of Congruent triangles

7. PR and QS bisect each other at T          Definition of a bisector

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