Quadrilaterals

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Quadrilaterals

  1. 1. Quadrilaterals
  2. 2. Definition A Polygon with 4 sides and 4 angles.
  3. 3. The sum of all interior angles in a quadrilateral is 360 o.
  4. 4. The sum of all interior angles in a quadrilateral is 360 o. 70 o X o 110 o 70 o
  5. 5. Finding the Fourth Angle of a Quadrilateral What is the value of X? 70 o X o 110 o 70 o
  6. 6. The sum of all interior angles in a quadrilateral is 360 o. What is the value of X? X=360–(70+70+110) X=110 70 o X o 110 o 70 o
  7. 7. Finding the Fourth Angle of a Quadrilateral What is the value of X? X=360–(70+70+110) X=110 70 o 110 o 110 o 70 o
  8. 8. Types of Quadrilaterals
  9. 9. Quadrilaterals General Quadrilateral 4 sides, 4 angles Trapezoid Only 1 pair of parallel sides
  10. 10. Quadrilaterals General Quadrilateral 4 sides, 4 angles Trapezoid Only 1 pair of parallel sides Parallelogram Opposite sides are parallel and congruent
  11. 11. Quadrilaterals General Quadrilateral 4 sides, 4 angles Trapezoid Only 1 pair of parallel sides Parallelogram Opposite sides are parallel and congruent Rectangle A parallelogram with 4 right angles
  12. 12. Quadrilaterals General Quadrilateral 4 sides, 4 angles Trapezoid Only 1 pair of parallel sides Parallelogram Opposite sides are parallel and congruent Rectangle A parallelogram with 4 right angles Square A rectangle with 4 congruent sides
  13. 13. Quadrilaterals General Quadrilateral 4 sides, 4 angles Trapezoid Only 1 pair of parallel sides Parallelogram Opposite sides are parallel and congruent Rectangle A parallelogram with 4 right angles Rhombus A parallelogram with 4 congruent sides Square A rectangle with 4 congruent sides
  14. 14. Quadrilaterals General Quadrilateral 4 sides, 4 angles Trapezoid Only 1 pair of parallel sides Parallelogram Opposite sides are parallel and congruent Rectangle A parallelogram with 4 right angles Rhombus A parallelogram with 4 congruent sides Square A rectangle with 4 congruent sides

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