Proving a Rectangle Has Congruent Diagonals C D
Given: ABCD is a rectangle.
Prove: ABCD has congruent diagonals.
Statements
Reasons
B
1. ABCD is a rectangle
1. given
2. draw AC and BD
2. unique line postulate
A
3. 2 BAD and 2CDA are right 3. def. of a rectangle
angles
4. ZBAD LCDA
4. all right angles are
congruent
5. ABCD is a parallelogram 5. def. of a rectangle
A
D
Identify the steps that complete the proof,
4
6. AB = CD
6.4
7. AD AD
7. reflexive property
8. BAD DCB
8.
9. BD - AC