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Transcript
6.1 POLYGONS VOCABULARY Polygon: plane figure formed by three or more segments (called sides). Diagonal: segment that joins 2 nonconsecutive vertices CLASSIFYING POLYNOMIALS Name Triangle Quadrilateral Pentagon Hexagon Heptagon Octagon Nonagon Decagon # of Sides Sketch EXAMPLE 1 Is the figure a polygon? Explain your reasoning. QUADRILATERALS Quadrilateral Interior Angles Theorem The sum of the measures of the interior angles of a quadrilateral is 360° EXAMPLE 2 Find the measure of the missing angle within each quadrilateral. 6.2 PROPERTIES OF PARALLELOGRAMS Parallelogram: quadrilateral with BOTH pairs of opposite sides parallel 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. EXAMPLE 1 FGHJ is a parallelogram. Find JH and FJ. EXAMPLE 2 PQRS is a parallelogram. Find the missing angle measures. YOU TRY IT… Find the missing side lengths or angle measures as indicated. 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. EXAMPLE 3 TUVW is a parallelogram. Find TX.
