Given: ABCD is a parallelogram. Prove: AB = CD and BC = DA
Angles segments Triangles Statement
Reasons
ASA
reflexive property
def. of alt, interior angles
alternate interior angles theorem
B
С
Statements
✓ 1. ABCD is a parallelogram
✓ 2. AB || CD
v 3. BC || DA
✓ 4. draw AC
Reasons
1. given
2. def. of parallelogram
3. def. of parallelogram
4. unique line postulate
А
D