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Section 5.1 Properties of Parallelograms

Section 5.1 Properties of Parallelograms. QUADRILATERALS. Warm up FOUR SIDED FIGURES. A parallelogram is a TYPE of quadrilateral. Definition of parallelogram. A quadrilateral with both pairs of opposite sides parallel. Theorems about Parallelograms.

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Section 5.1 Properties of Parallelograms

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  1. Section 5.1 Properties of Parallelograms

  2. QUADRILATERALS Warm up FOUR SIDED FIGURES

  3. A parallelogram is a TYPE of quadrilateral

  4. Definition of parallelogram • A quadrilateral with both pairs of opposite sides parallel.

  5. Theorems about Parallelograms • 5.1: Opposite sides of a parallelogram are congruent. • 5.2: Opposite angles of a parallelogram are congruent. • 5.3: Diagonals of a parallelogram bisect each other.

  6. Find the missing values. x = 100 y = 45 z = Not enuf info 35o xo 180 – 80 = 100o 80o 45o yo 7 c ANGLES 12 a LENGTHS 8 b zo d 6 Note: Figure NOT Drawn to Scale.

  7. Find the missing values. LENGTHS 2x + 5y = 30 2x + 2y = 18 3y = 12 y = 4 2x + 2(4) = 18 2x = 10 x = 5

  8. Is it a parallelogram? SSIAs 112 + 78 = ? 112 + 78 = 190 190 ≠ 180 No it is not. Note: Figure NOT Drawn to Scale.

  9. Is it a parallelogram? 1 pair of opp. sides are || Not enough information so it is not a parallelogram. 1 pair of opp. sides are ≅

  10. Practice • Page 168 • Classroom Exercises • #1 – 8, • Draw Diagrams for #3,4,5

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