Given: AD BC and AD || BC Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
6 0,5
SAS
CPCTC
Vx
reflexive property
alternate interior angles theorem
B
Statements
1. AD BC
✓ 2. 2 DAC and Z BCA
are alt. interior angles
✓ 3.AD || BC
Reasons
1. given
2. def. of alt, interior angles
3. given

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