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Informal Geometry 8.2 Parallelograms

Informal Geometry 8.2 Parallelograms. -A parallelogram is a quadrilateral with both pairs of opposite sides parallel. -The symbol PQRS is read “parallelogram PQRS.”. If a quadrilateral is a parallelogram, then its opposite angles are congruent. Theorem 8.2. Q. R. P. S.

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Informal Geometry 8.2 Parallelograms

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  1. InformalGeometry8.2 Parallelograms

  2. -A parallelogram is a quadrilateral with both pairs of opposite sides parallel. -The symbol PQRS is read “parallelogram PQRS.”

  3. If a quadrilateral is a parallelogram, then its opposite angles are congruent. Theorem 8.2 Q R P S

  4. If a quadrilateral is a parallelogram, then its opposite sides are congruent. Theorem 8.3 Q R P S

  5. If a quadrilateral is a parallelogram, then its consecutive angles are supplementary (add up to 180°). mP +mQ = 180°, mQ +mR = 180° Theorem 8.4 Q R P S

  6. If a quadrilateral is a parallelogram, then its diagonals bisect each other. Theorem 8.5 Q R P S

  7. FGHJ is a parallelogram. Find the unknown length. Explain your reasoning. JH JK Ex. 1 5 G F 3 K H J b.

  8. PQRS is a parallelogram. Find the angle measure. mR mQ Ex. 2 Q R 70° P S

  9. PQRS is a parallelogram. Find the value of x. Ex. 3: Using Algebra with Parallelograms P Q (3x+30)° 120° S R

  10. Homework • Page 319: 4-34 all

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