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Classifying Quadrilaterals

Classifying Quadrilaterals. Definition. Quadrilateral closed (two-dimensional) figure with four sides that are line segments Classified by : # of parallel sides # of congruent sides sum of angles measure 360 degrees. Quadrilateral Family. parallelogram.

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Classifying Quadrilaterals

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  1. Classifying Quadrilaterals

  2. Definition • Quadrilateral • closed (two-dimensional) figure with four sides that are line segments • Classified by : # of parallel sides # of congruent sides sum of angles measure 360 degrees

  3. Quadrilateral Family parallelogram rectangle trapezoid square rhombus kite

  4. Property of Quadrilaterals • The sum of all the angles equals 360º degrees. 90º 90º 90º 90º 90º + 90º 90º 90º 360º

  5. Property of Quadrilaterals • The sum of all the angles equals 360º degrees. 90º 90º 90º 90º 90º + 90º 90º 90º 360º

  6. Property of Quadrilaterals • The sum of all the angles equals 360º degrees. 70º 70º 70º 70º 110º 110º + 110º 110º 360º

  7. Property of Quadrilaterals • The sum of all the angles equals 360º degrees. 65º 65º 115º 65º 115º 115º 65º 115º + 360º

  8. Parallelogram 1. Opposite sides parallel. 2. Opposite angles are congruent. 3. 2 pairs of parallel sides 4. 2 pairs of congruent sides.

  9. Rectangle 1. Parallelogram 2. 4 right angles – 90 degrees 3. Diagonals bisect each other 4. 2 pairs of parallel sides. 5. 2 pairs of congruent sides

  10. Square 1. Special rectangle and rhombus 2. 4 congruent sides 3. 4 congruent (right) angles 4. 2 pairs of parallel lines

  11. Rhombus 1. Parallelogram 2. 4 Congruent sides 3. 2 pairs of parallel sides

  12. Trapezoid 1. One pair of parallel sides (bases) and one pair of non-parallel sides (legs) 2. May have 2 90 degree angles or no 90 degree angles.

  13. Kite • 1. 2 pairs of adjacent congruent sides • 2. One pair of opposite angles is congruent

  14. Assignment • Page 348-349 #1-23 omit #22 (Green Book)

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