Proving the Single Opposite Side Pair Theorem Try it
+Given: AD - BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ABCD is a parallelogram
ZDAC and BCA
are alt interior angles
A
B
Statements
V 1. AD BC
2. AD || BC
3. ACAC
4. ZDAC and BCA
are alt interior angles
5. ZBCA Z DAC
Reasons
1 given
2. given
3. reflexive property
4. def. of alt, interior angles
D
C
5. alternate interior angles theorem
Hint
Intro

1. what is the measure of ∠abc? what is the measure of ∠abd?

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