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Section 5.1 Properties of Parallelograms
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Warm up FOUR SIDED FIGURES
QUADRILATERALS Warm up FOUR SIDED FIGURES
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A parallelogram is a TYPE of quadrilateral
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Definition of parallelogram
A quadrilateral with both pairs of opposite sides parallel.
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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.
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Find the missing values.
x = y = z = Not enuf info 35o 180 – 80 = 100o xo 80o 45o yo 7 c ANGLES 12 a LENGTHS b 8 zo 6 d Note: Figure NOT Drawn to Scale.
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Find the missing values. LENGTHS
2x + 5y = 30 2x + 2y = 18 3y = 12 y = 4 2x + 2(4) = 18 2x = 10 x = 5
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Is it a parallelogram? SSIAs 112 + 78 = ? 112 + 78 = 190 190 ≠ 180
No it is not. Note: Figure NOT Drawn to Scale.
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Not enough information so it is not a parallelogram.
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 ≅
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Practice Page 168 Classroom Exercises #1 – 8, Draw Diagrams for #3,4,5
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