Given: ABCD is a rectangle.
Prove: ABCD has congruent diagonals.
B
Statements
1. ABCD is a rectangle
2. draw AC and BD
Reasons.
1. given
2. unique line postulate
3. ZBAD and ZCDA 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
Identify the steps that complete the proof.
6. AB - CD
6.4
=
7. AD AD
7. reflexive property
=
8. ABAD - ADCB
8.
9.BD - AC
✓ Done
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