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6.1 Polygons

6.1 Polygons. Vocabulary. Polygon: plane figure formed by three or more segments (called sides). Diagonal: segment that joins 2 non-consecutive vertices . Classifying Polynomials. Example 1 . Is the figure a polygon? Explain your reasoning. . Quadrilaterals .

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6.1 Polygons

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  1. 6.1 Polygons

  2. Vocabulary • Polygon: plane figure formed by three or more segments (called sides). • Diagonal: segment that joins 2 non-consecutive vertices

  3. Classifying Polynomials

  4. Example 1 • Is the figure a polygon? Explain your reasoning.

  5. Quadrilaterals • Quadrilateral Interior Angles Theorem • The sum of the measures of the interior angles of a quadrilateral is 360°

  6. Example 2 • Find the measure of the missing angle within each quadrilateral.

  7. 6.2 Properties of Parallelograms • Parallelogram: quadrilateral with BOTH pairs of opposite sides parallel

  8. Theorems about Parallelograms • If a quadrilateral is a parallelogram, then its opposite sides are congruent. • If a quadrilateral is a parallelogram, then its opposite angles are congruent. • If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.

  9. Example 1 • FGHJ is a parallelogram. Find JH and FJ.

  10. Example 2 • PQRS is a parallelogram. Find the missing angle measures.

  11. You Try It… • Find the missing side lengths or angle measures as indicated.

  12. 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.

  13. Example 3 • TUVW is a parallelogram. Find TX.

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