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Given: ABCD is a rectangle.
Prove: ABCD has congruent diagonals.
Reasons
Statements
1. ABCD is a rectangle
1. given
2. draw AC and BD
2. unique line postulate
3. ZBAD and 2CDA are right 3. def. of a rectangle
angles
4. ZBAD > CDA
4. all right angles are
congruent
5. ABCD is a parallelogram 5. def. of a rectangle
6. AB - CD
6.
Identify the steps that complete the proof.
= parallelogram diagonal theorem
7. AD - AD
7. reflexive property
8.
8. ABAD - ADCB
9.BD AC
SAS
AAS
СРСта