Given a parallelogram, you can use the parallelogram opposite sides theorem theorem 7. Theorem 67 if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems. Packet on proving quadrilaterals are parallelograms. Worksheets are quadrilateral proofs packet 2, geometry work quadrilaterals, proofs of quadrilateral properties, name geometry proving that a quadrilateral is a, polygons quadrilaterals and special parallelograms, proving a quadrilateral is a rhombus rectangle or a, geometry honors coordinate geometry proofs, geometry coordinate geometry proofs. We can use these features and properties to establish six ways of proving a.
Prove triangles congruent using parallelogram properties pages 3 8 hw. A quadrilateral is a parallelogram iff the diagonals bisect each other. Students combine the basic definition of a parallelogram with triangle congruence criteria to. How to prove a quadrilateral is a parallelogram step by step. One special kind of polygons is called a parallelogram. Show that a quadrilateral is a parallelogram in the coordinate plane. Goals p prove that a quadrilateral is a parallelogram. To determine if a quadrilateral is 1 geometry sect 6. Day 2 ways to prove a quadrilateral is a parallelogram. If a quadrilateral is a parallelogram, then its opposite sides and angles are equal in measure. A quadrilateral is a parallelogram iff both pairs of its opposite angles are congruent. Properties of parallelograms geometry, quadrilaterals mathplanet. If a quadrilateral is a parallelogram, then its diagonals bisect each other.
You will be able to prove that a quadrilateral is a parallelogram. It is a quadrilateral where both pairs of opposite sides are parallel. Name geometry proving that a quadrilateral is a parallelogram any. If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.
A parallelogram is a quadrilateral with two pairs of opposite sides parallel. Learn the 6 ways to prove a quadrilateral is a parallelogram. Proving quadrilaterals worksheets lesson worksheets. Ga 15 points for statements, 15 points for reasons. The sum a parallelogram is a quadrilateral whose opposite sides. If one pair of oppos ite sides of a quadrilateral is congruent and parallel. Any of the methods may be used to prove that a quadrilateral is a parallelogram. Proving quadrilaterals are parallelograms pdf eooqtie. Proving that a quadrilateral is a parallelogram any of the methods may be used to prove that a quadrilateral is a parallelogram.
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