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6.1 POLYGONS
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VOCABULARYPolygon: plane figure formed by three or more segments (called sides).
Diagonal: segment that joins 2 non-consecutive vertices
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CLASSIFYING POLYNOMIALS
Name # of Sides Sketch
Triangle
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
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EXAMPLE 1Is the figure a polygon? Explain your reasoning.
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QUADRILATERALS Quadrilateral Interior Angles Theorem
The sum of the measures of the interior angles of a quadrilateral is 360°
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EXAMPLE 2Find the measure of the missing angle within each quadrilateral.
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6.2 PROPERTIES OF PARALLELOGRAMS
Parallelogram: quadrilateral with BOTH pairs of opposite sides parallel
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THEOREMS ABOUT PARALLELOGRAMS
1) If a quadrilateral is a parallelogram, then its opposite sides are congruent.
2) If a quadrilateral is a parallelogram, then its opposite angles are congruent.
3) If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.
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EXAMPLE 1FGHJ is a parallelogram. Find JH and FJ.
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EXAMPLE 2PQRS is a parallelogram. Find the missing angle measures.
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YOU TRY IT…Find the missing side lengths or angle measures as indicated.
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ONE MORE THEOREM…If a quadrilateral is a parallelogram, then its diagonals bisect each other.
REMEMBER: to BISECT a segment means to divide the segment into two congruent segments.
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EXAMPLE 3TUVW is a parallelogram. Find TX.
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