Use the following diagram and information to complete the proof. Given: ABCD is a rectangle.
Prove: The diagonals AC¯¯¯¯¯¯¯¯ and BD¯¯¯¯¯¯¯¯ are congruent.
Quadrilateral A B C D with right angles at each vertex. The diagonals B D and A C are also drawn in.

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Match each numbered statement to the correct reason to complete the proof.
1. ABCD is a rectangle.

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SAS Congruence Theorem
Definition of a rectangle
Given
ASA Congruence Theorem
Definition of parallelogram
Corresponding parts of congruent triangles are congruent.
Opposite sides of a parallelogram are congruent.
Reflective Property of Congruence
Right Angle Theorem
2. ABCD is a parallelogram.
∠A is a right angle.
∠B is a right angle.

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SAS Congruence Theorem
Definition of a rectangle
Given
ASA Congruence Theorem
Definition of parallelogram
Corresponding parts of congruent triangles are congruent.
Opposite sides of a parallelogram are congruent.
Reflective Property of Congruence
Right Angle Theorem
3. AD¯¯¯¯¯¯¯¯≅BC¯¯¯¯¯¯¯¯
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SAS Congruence Theorem
Definition of a rectangle
Given
ASA Congruence Theorem
Definition of parallelogram
Corresponding parts of congruent triangles are congruent.
Opposite sides of a parallelogram are congruent.
Reflective Property of Congruence
Right Angle Theorem
4. AB¯¯¯¯¯¯¯¯≅AB¯¯¯¯¯¯¯¯
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SAS Congruence Theorem
Definition of a rectangle
Given
ASA Congruence Theorem
Definition of parallelogram
Corresponding parts of congruent triangles are congruent.
Opposite sides of a parallelogram are congruent.
Reflective Property of Congruence
Right Angle Theorem
5. ∠A≅∠B
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SAS Congruence Theorem
Definition of a rectangle
Given
ASA Congruence Theorem
Definition of parallelogram
Corresponding parts of congruent triangles are congruent.
Opposite sides of a parallelogram are congruent.
Reflective Property of Congruence
Right Angle Theorem
6. △DAB≅△CBA
SAS Congruence Theorem
Definition of a rectangle
Given
ASA Congruence Theorem
Definition of parallelogram
Corresponding parts of congruent triangles are congruent.
Opposite sides of a parallelogram are congruent.
Reflective Property of Congruence
Right Angle Theorem
7. AC¯¯¯¯¯¯¯¯≅BD¯¯¯¯¯¯¯¯
Select an option
SAS Congruence Theorem
Definition of a rectangle
Given
ASA Congruence Theorem
Definition of parallelogram
Corresponding parts of congruent triangles are congruent.
Opposite sides of a parallelogram are congruent.
Reflective Property of Congruence
Right Angle Theorem