Statements
Reasons

1. ABCD is a rectangle

1. given

2. ∠A, ∠B, ∠C, and ∠D, are right angles

2. def. of rectangle

3. m∠A, m∠B, m∠C, and m∠D = 90°

3. def. of right angle

4. ∠A ≅ ∠B ≅ ∠C ≅ ∠D

4. all right angles are congruent

5. AB ⊥ AD, AB ⊥ BC, CD ⊥ AD, CD ⊥ BC

5. perpendicular transversal theorem

6. RU || ST, UT || RS

6. converse of alt. interior angles theorem

7. quadrilateral ABCD is a parallelogram

7. ♣

8. AB ≅ CD, AD ≅ BC

8. parallelogram side theorem

9. draw AC and BC

9. between any 2 points is a straight line

10. △BAD ≅ △DCB

10. ♦

11. AC ≅ BD

11. ♠