Chapter 6: Quadrilaterals

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Chapter 6 Quadrilaterals

• 6.2
• Properties of Parallelograms

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Theorem 6-1

• Opposite sides of a parallelogram are congruent.

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Consecutive Angles
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Example 1

• Find the measure of angle S in parallelogram RSTW.

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Theorem 6-2

• Opposite angles of a parallelogram are congruent.

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Example 2

• Find the value of x in parallelogram PQRS, then
  find QR and PS.

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Example 2a

• Find the value of y in parallelogram EFGH, then
  find the measure of angle E, angle G, angle F,
  and angle H.

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Theorem 6-3

• The diagonals of a parallelogram bisect each
  other.

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Example 3

• Solve a system of linear equations to find the
  values of x and y in parallelogram ABCD. Then
  find AE, EC, BE, and ED.

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Example 3a

• Find the values of a and b.

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Theorem 6-4

• If three (or more) parallel lines cut off
  congruent segments on one transversal, then they
  cut off congruent segments on every transversal.

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Parallelogram Wrap-up

• Parallelograms have
• opposite pairs of sides parallel
• opposite sides congruent
• opposite angles congruent
• diagonals that bisect each other

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Homework

• p. 315-317
• 2-18 even, 22-30 even