Parallelogram Proofs Worksheet
A Grade 10 math worksheet focusing on proving properties of parallelograms using geometric theorems and postulates.
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Parallelogram Proofs
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Read each question carefully and provide a complete proof or answer as required. Show all your work.
1. List four properties of a parallelogram.
2. Given quadrilateral ABCD with AB || DC and AD || BC. Prove that ABCD is a parallelogram.
3. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
True
False
4. A quadrilateral is a parallelogram if one pair of opposite sides is both and .
5. Given quadrilateral PQRS with diagonals PR and QS intersecting at M, such that PM = MR and QM = MS. Prove that PQRS is a parallelogram.
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