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Chapter 8 Quadrilaterals Notes for Class 9th Maths

Chapter 8 Quadrilaterals

  • Angle Sum Property of a Quadrilateral
  • Types of Quadrilaterals
  • Properties of a Parallelogram
  • The Mid-Point Theorem
  1. Sum of the angles of a quadrilateral is 360o
  2. A diagonals of a parallelogram divides it into two congruent triangles.
  3. In a parallelogram
  4. diagonals bisect each other.
  5. opposite angles are equal.
  6. opposite sides are equal
  7. Diagonals of a square bisects each other at right angles and are equal, and vice-versa.
  8. A line through the mid-point of a side of a triangle parallel to another side bisects the third side. (mid-point theorem)
  9. The line through the mid points of sides of a D || to third side and half of it.
  10. A quadrilateral is a parallelogram, if
  11. its opposite angles are equal.
  12. its opposite sides are equal.
  13. its diagonals bisect each other.
  14. a pair of opposite sides is equal and parallel.
  15. Diagonals of a rectangle bisect each other and are equal and vice-versa.
  16. Diagonals of a rhombus bisect each other at right angles and vice-versa.
  17. A line through the mid-point of a side of a triangle parallel to another side bisects the third side.
  18. The line-segment joining the mid-points of any two sides of a triangle is parallel to the third side and is half of it.

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