Quadrilaterals Worksheet With Answers Page 23
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50Given: Quadrilateral ABCD
D
C
∠ A and ∠ B are supplementary
∠ A and ∠ D are supplementary
Prove: Quadrilateral ABCD is a
A
B
Complete the proof below with the appropriate statements and reasons.
Proof:
Statements
Reasons
1. Quadrilateral ABCD
1. ___________________________
∠ A and ∠ B are supplementary
∠ A and ∠ D are supplementary
2. ___________________________
2. AD
BC
3. _______________________
3. If two lines are cut by a transversal
so that the interior angles on the
same side are supplementary, then
the lines are parallel.
4. Quadrilateral ABCD is a
4. ___________________________
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