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Types of Quadrilaterals (4-sided figures)

Types of Quadrilaterals (4-sided figures). Parallelograms. A four sided figure with both pairs of opposite sides parallel. Some Special Properties of Parallelograms. Opposite sides are congruent Diagonals bisect each other Both pairs of opposite sides are parallel. 1. Solve for x.

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Types of Quadrilaterals (4-sided figures)

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  1. Types of Quadrilaterals(4-sided figures)

  2. Parallelograms A four sided figure with both pairs of opposite sides parallel

  3. Some Special Properties of Parallelograms • Opposite sides are congruent • Diagonals bisect each other • Both pairs of opposite sides are parallel

  4. 1. Solve for x.

  5. 2. Solve for x.

  6. Rectangle A parallelogram with 4 right angles

  7. Some Special Properties of Rectangles • All the properties of a parallelogram • Diagonals are congruent • 4 right angles

  8. Rhombus A parallelogram with 4 congruent sides

  9. Some Special Properties of Rhombus • All the properties of a parallelogram • Diagonals are perpendicular • 4 congruent sides

  10. 3. Solve for x in this rhombus.

  11. Rhombus.4. VY =mZVY = Z

  12. Square A parallelogram with 4 congruent sides & 4 right angles

  13. Some Special Properties of Square • All the properties of a parallelogram, rectangle, & rhombus

  14. Solve for x and y in this square.

  15. Square1. EJ = 2. HF =4. mEJF5. mHGF

  16. Kite A quadrilateral with 2 pairs of consecutive congruent sides, but opposites sides are NOT parallel

  17. Some Special Properties of Kite • Diagonals are perpendicular

  18. Trapezoid A quadrilateral with 1 pair of parallel sides called bases

  19. base leg leg base Trapezoids Have only one pair of opposite sides that are parallel.

  20. Isosceles Trapezoid A quadrilateral with 1 pair of parallel sides called bases and non-parallel sides are congruent (legs)

  21. Some Special Properties of Isosceles Trapezoid • Diagonals are congruent

  22. Classifying Trianglesby Sides • Equilateral – 3 congruent sides • Isosceles – 2 congruent sides • Scalene – No sides congruent

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