Properties, parallelogram criteria, midpoint theoremPractice Questions & MCQs
Practice Properties, parallelogram criteria, midpoint theorem questions from Quadrilaterals (Class 9 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Properties, parallelogram criteria, midpoint theoremQuiz - Solve & Score
Q1. In quadrilateral ABCD, AC and BD are diagonals. If ABCD is a parallelogram, then which of the following is NOT necessarily true?
- A.AC = BD
- B.AC and BD bisect each other
- C.AB = CD and BC = DA
- D.Opposite angles are equal
Answer: A. AC = BD
NCERT fact (math, chapter 'Quadrilaterals'): In a general parallelogram, diagonals bisect each other but need not be equal. Equal diagonals characterise a rectangle. Final answer - A) AC = BD.
Q2. Which of the following statements is FALSE?
- A.Every trapezium is a parallelogram
- B.Every rhombus is a parallelogram
- C.Every square is a rectangle
- D.Every rectangle is a parallelogram
Answer: A. Every trapezium is a parallelogram
That leaves only option A). Confirm with the chapter rule: A trapezium has only one pair of parallel sides (in the exclusive Indian textbook definition), so it is not necessarily a parallelogram (math, chapter 'Quadrilaterals'). Answer: A) Every trapezium is a parallelogram.
Q3. ABCD is a parallelogram. Which of the following conditions does NOT necessarily make ABCD a rhombus?
- A.Diagonals are equal
- B.Diagonals are perpendicular
- C.All sides are equal
- D.Diagonals bisect the angles at the vertices
Answer: A. Diagonals are equal
Going back to the NCERT chapter, Equal diagonals in a parallelogram give a rectangle, not necessarily a rhombus. Perpendicular diagonals (or angle-bisecting diagonals, or all-sides-equal) characterise a rhombus. Hence the answer is A) Diagonals are equal.
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