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Parallelogram Proofs Worksheet

A Grade 10 math worksheet focusing on proving properties of parallelograms using geometric theorems and postulates.

Grade 10 Math GeometryParallelogram Proofs
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Includes

Short Answer2 CustomTrue / FalseFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSG.CO.C.11

Topics

geometryparallelogramsproofsgrade 10math
7 sections · Free to use · Printable
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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.

ABCD

3. If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

T

True

F

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.

PQRSM