Statements Reasons

Given: ABCD is a rectangle.

Prove: ABCD has congruent diagonals.

B

С

1. ABCD is a rectangle

1. given

✓x

2. draw AC and BD

2. unique line postulate

3. ZBAD and LCDA are right

angles

3. def. of a rectangle

4. ZBAD CDA

4. all right angles are

congruent

А

D

5. ABCD is a parallelogram

5. def. of a rectangle

Identify the steps that complete the proof.

6. AB CD

6.

7. AD AD

7. reflexive property

8. ABAD ADCB

8.

9. BD AC

9.

Intro