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6.3 TESTS FOR
PARALLELOGRAMS
• If…
•
•
•
•
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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.
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)
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