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Chapter 6: Quadrilaterals

Chapter 6: Quadrilaterals. 6.1 Classifying Quadrilaterals. Quadrilateral. four-sided polygon. Special Quadrilaterals. parallelogram: quadrilateral with both pairs of opposite sides parallel rhombus: parallelogram with four congruent sides. Special Quadrilaterals.

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Chapter 6: Quadrilaterals

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  1. Chapter 6: Quadrilaterals 6.1 Classifying Quadrilaterals

  2. Quadrilateral • four-sided polygon

  3. Special Quadrilaterals • parallelogram: quadrilateral with both pairs of opposite sides parallel • rhombus: parallelogram with four congruent sides

  4. Special Quadrilaterals • rectangle: parallelogram with four right angles • square: parallelogram with four congruent sides and four right angles

  5. Special Quadrilaterals • kite: a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent • trapezoid: quadrilateral with exactly one pair of parallel sides

  6. Comparisons

  7. Example 1 • Judging by its appearance, classify DEFG in as many ways as possible.

  8. Example 1a • Judging by its appearance, classify WXYZ in as many ways as possible.

  9. Review • distance formula: • slope formula: • midpoint formula:

  10. Determining a Quadrilateral • when given coordinates: • look at the shape first • if sides “look” parallel, find their slopes to prove • if sides “look” perpendicular, find their slopes to prove • if sides “look” congruent, find their lengths (distance) to prove

  11. Example 2 • Determine the most precise name for quadrilateral LMNP: L(1,2), M(5,3), N(5,2), P(3,1).

  12. Example 2a • Determine the most precise name for quadrilateral ABCD with vertices A(-3,3), B(2,4), C(3,-1), and D(-2,-2).

  13. Example 3 • Find the values of the variables for the kite:

  14. Example 3a • Find the values of the variables for the rhombus, then find the lengths of the sides.

  15. Homework • p. 308-310: • 2-26 even

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