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6.3 TESTS FOR PARALLELOGRAMS

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Page 1: 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

6.3 TESTS FOR PARALLELOGRAMS

Page 2: 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

• 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

Page 3: 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

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

Page 4: 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

Which method would prove the quadrilateral is a parallelogram?

Page 5: 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

Determine whether the quadrilateral is a parallelogram.

Page 6: 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

Determine whether the quadrilateral is a parallelogram.

Page 7: 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

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

Page 8: 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

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.

Page 9: 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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