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Chapter-4 Quadrilaterals — Online MCQ Test

MATHS · Grade 8 · CBSE(NCERT)
Practice Chapter-4 Quadrilaterals with a free chapter-wise online MCQ test. This chapter covers: polygons - diagonals - convex polygon - concave polygon - regular polygon - angle sum property - parallelogram - rhombus - rectangle - square - kite. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-4 Quadrilaterals — Important Questions & Answers

A quadrilateral is a polygon with how many sides?
  • A. 3 sides
  • B. 4 sides
  • C. 5 sides
  • D. 6 sides
Answer: B. 4 sides
By definition, a quadrilateral is a polygon with exactly 4 sides and 4 vertices.
What is the sum of all interior angles of a quadrilateral?
  • A. 180°
  • B. 270°
  • C. 360°
  • D. 540°
Answer: C. 360°
The angle sum property of a quadrilateral states that the sum of all interior angles is always 360°.
If three angles of a quadrilateral are 85°, 95°, and 100°, what is the fourth angle?
  • A. 70°
  • B. 80°
  • C. 85°
  • D. 90°
Answer: B. 80°
Using the angle sum property: Fourth angle = 360° - (85° + 95° + 100°) = 360° - 280° = 80°.
In quadrilateral ABCD, if the diagonals AC and BD bisect each other, which type of quadrilateral must it be?
  • A. A kite
  • B. A trapezium
  • C. A parallelogram
  • D. A rectangle
Answer: C. A parallelogram
The key property that diagonals bisect each other is characteristic of a parallelogram; other quadrilaterals may not have this property.
In a kite ABCD with AB = AD and CB = CD, if angle BAD = 80°, angle BCD can be determined to be:
  • A. 80°
  • B. 100°
  • C. 160°
  • D. Cannot be determined without more information
Answer: D. Cannot be determined without more information
In a kite, knowing one angle is insufficient. The angles depend on the specific dimensions. Angle BCD cannot be uniquely determined from angle BAD alone.