6.3 TESTS FOR PARALLELOGRAMS. If… Both pairs of opposite sides are parallel Both pairs of opposite sides are congruent Both pairs of opposite angles are.

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Presentation transcript:

6.3 TESTS FOR PARALLELOGRAMS

If… Both pairs of opposite sides are parallel Both pairs of opposite sides are congruent Both pairs of opposite angles are congruent The diagonals bisect each other One pair of opposite sides is congruent and parallel Then the quadrilateral is a parallelogram

Determine whether the quadrilateral is a parallelogram. Justify your answer.

Which method would prove the quadrilateral is a parallelogram?

Determine whether the quadrilateral is a parallelogram.

Find x and y so that the quadrilateral is a parallelogram.

COORDINATE GEOMETRY Graph quadrilateral QRST with vertices Q (–1, 3), R (3, 1), S (2, –3), and T (–2, –1). Determine whether the quadrilateral is a parallelogram. Justify your answer by using the Slope Formula.

Given quadrilateral EFGH with vertices E (–2, 2), F (2, 0), G (1, –5), and H (–3, –2). Determine whether the quadrilateral is a parallelogram. (The graph does not determine for you)