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Mathematics, 06.03.2021 14:00 richardcarmona54

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Proving the Single Opposite Side Pair Theorem
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Given: AD BC and AD || BC

Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
SAS
CPCTC
А
given
parallelogram side theorem
B
Reasons
2. given
3. reflexive property
4. def. of alt interior angles
D
Statements
v 2. AD || BC
✓ 3. AC AC
4. ZDAC and BCA
are alt, interior angles
5. ZDAC BCA
V 6. ADAC ABCA
7. ABCD
✓ 8. ABCD is a parallelogram
C
5. alternate interior angles theorem
6. SAS
7. CPCTC
8. parallelogram side theorem
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Proving the Single Opposite

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