Given: AD BC and AD || BC Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
SAS
CPCTC
A
given
parallelogram side theorem
B
Statements
1. AD BC
✓ 2. AD || BC
✓ 3.AC ZAC
✓ 4. ZDAC and ZBCA
are
interior angles
5. ZDAC ZBCA
6. ABCAADAC
Reasons
1. given
2. given
3. reflexive property
4. def. of alt interior angles
D
5. alternate interior angles theorem
6. SAS
Correct Assemble the next
statement
Intro

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