Proving That a Quadrilateral Is a Parallelogram

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Presentation transcript:

Proving That a Quadrilateral Is a Parallelogram Section 7.3

What You Will Learn Identify and verify parallelograms. Show that a quadrilateral is a parallelogram in the coordinate plane.

Parallelogram Opposite Sides Converse

Monitoring Progress In quadrilateral WXYZ, m∠W = 42°, m∠X = 138°, and m∠Y = 42°. Find m∠Z. Is WXYZ a parallelogram? Explain your reasoning

Finding Side Lengths of a Parallelogram For what values of x and y is quadrilateral PQRS a parallelogram? By the Parallelogram Opposite Sides Converse, if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. Find x so that PQ ≅ SR

Finding Diagonal Lengths of a Parallelogram For what value of x is quadrilateral CDEF a parallelogram?

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