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

According to modern science, earth is about 4.5 billion years old and written human history extends back about 10,000 years. suppose the entire history of earth is represented with a 10-meter-long timeline, with the birth of earth on one end and today at the other end.

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