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Section 6.3

Section 6.3. Properties of Parallelograms. Parallelogram. Quadrilateral whose opposite sides are parallel. So ABCD is a parallelogram ABCD. AB and DC are parallel AD and BC are parallel. Properties of Parallelograms.

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Section 6.3

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  1. Section 6.3 Properties of Parallelograms

  2. Parallelogram Quadrilateral whose opposite sides are parallel So ABCD is a parallelogram ABCD AB and DC are parallel AD and BC are parallel

  3. Properties of Parallelograms Thm 6.3: If a quadrilateral is a parallelogram, then its opposite sides are congruent. Thm 6.4: If a quadrilateral is a parallelogram, then its opposite angles are congruent. Thm 6.5: If a quadrilateral is a parallelogram, then its consecutive angles are supplementary. Thm 6.6: If a quadrilateral is a parallelogram, then its diagonals bisect each other.

  4. Exs: 1. You have PQRS. Find SR, ST, m<PQR and m<QRS if m< <QPS = 70° SR= 5(opposite sides congruent) ST= QT= 3(diagonal PR bisects diagonal QS) m<PQR= 110° (consect angles supple) M<QRS = 70 °(opp angles are congruent)

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