Given: ABCD is a parallelogram.
Prove: AB CD and BC = DA
B
С

1. ABCD is a parallelogram 1. Given

2. AB || CD 2. def. of parallelogram

3. BC || DA 3. def. of parallelogram

4. draw AC 4. unique line postulate

5. <BCA and <DAC are alt. interior angles 5. def. of alt. interior angles

6.DCA and <BAC are alt interior angles 6. def. of alt. interior angles

7.<BAC = DCA 7. alternate interior angles theorem

8. <BCA = DAC 8.alternate interior angles theorem

9. AC = AC 9. Reflexive property

10. (triangle) ABC = CDA 10. ASA

11. AB = CD 11. CPCTC

12. BC = DA 11. CPCTC

Step-by-step explanation:

I just did this assignment

this took way too long lol

(-5,-28)

i graphed to on desmos.