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CBSE Maths · Class 9

Chapter 8: Quadrilaterals

Name: ________________________
Date: ______________
Marks: ____ / 10

Properties of parallelograms, rectangles, rhombus, squares, trapezium; midpoint theorem.

Questions

  1. Diagonals of a rectangle are equal — T/F?
  2. Sum of interior angles of a quadrilateral.
  3. In parallelogram, A=70\angle A = 70^\circ; find B\angle B.
  4. Diagonals of a rhombus bisect at what angle?
  5. Every rectangle is a \ldots?
  6. State midpoint theorem.
  7. D,ED, E midpoints of AB,ACAB, AC in \triangle: BC=10BC = 10; DE=?DE = ?
  8. Adjacent angles of parallelogram are 3x3x and (2x+30)(2x + 30). Find xx.
  9. Every square is a parallelogram — T/F?
  10. In isosceles trapezium, non-parallel sides are \ldots?

Extra Practice (Optional)

  • Prove: diagonals of parallelogram bisect each other.
  • In parallelogram ABCDABCD, if diagonals are equal, prove it is a rectangle.
  • State converse of midpoint theorem.
  • Prove: diagonals of rhombus are perpendicular.
  • Number of diagonals of a quadrilateral.

Answer Key (For Teachers)

  1. Answer: T.
    Working: Property.
  2. Answer: 360360^\circ.
    Working: (42)180(4-2)\cdot 180.
  3. Answer: 110110^\circ.
    Working: Adjacent supplementary.
  4. Answer: 9090^\circ.
    Working: Property.
  5. Answer: Parallelogram.
    Working: Parallelogram (with a right angle).
  6. Answer: As stated.
    Working: Midpoint of two sides ⇒ parallel and half of third.
  7. Answer: 55.
    Working: Half of BCBC.
  8. Answer: 3030.
    Working: 5x+30=1805x + 30 = 180.
  9. Answer: T.
    Working: True; square is a rectangle which is a parallelogram.
  10. Answer: Equal.
    Working: Equal.
Gyaan Maths · CBSE Class 9 · Chapter 8
Gyaan Maths — CBSE Class 6-10, built for board-toppers.
v1.1 · Feb 2026