Chapter 8 MATHS : Quadrilaterals — Online MCQ Test
MATHS · CLASS 9th · Andhra State Board
Practice Chapter 8 MATHS : Quadrilaterals with a free chapter-wise online MCQ test.
This chapter covers: This chapter details parallelogram properties angle sum property quadrilateral classification and the mid-point theorem with proofs..
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Chapter 8 MATHS : Quadrilaterals — Important Questions & Answers
What is the sum of all interior angles of a quadrilateral?
- A. 180 degrees
- B. 270 degrees
- C. 360 degrees
- D. 90 degrees
Answer: C. 360 degrees
The sum of interior angles of any simple quadrilateral is given by the formula (n-2) * 180, where n=4.
The sum of interior angles of any simple quadrilateral is given by the formula (n-2) * 180, where n=4.
Which of the following is NOT a property of a parallelogram?
- A. Opposite sides are equal
- B. Opposite angles are equal
- C. Diagonals bisect each other
- D. Diagonals are always equal
Answer: D. Diagonals are always equal
Diagonals of a parallelogram are equal only if it is a rectangle, not in a general parallelogram.
Diagonals of a parallelogram are equal only if it is a rectangle, not in a general parallelogram.
If an angle of a parallelogram is two-thirds of its adjacent angle, the angles of the parallelogram are:
- A. 60 degrees and 120 degrees
- B. 72 degrees and 108 degrees
- C. 80 degrees and 100 degrees
- D. 90 degrees and 90 degrees
Answer: B. 72 degrees and 108 degrees
Adjacent angles of a parallelogram sum to 180. x + 2/3x = 180 implies x = 108 and 72.
Adjacent angles of a parallelogram sum to 180. x + 2/3x = 180 implies x = 108 and 72.
Which statement is true for every rectangle?
- A. It has all sides equal
- B. It is a cyclic quadrilateral
- C. Its diagonals bisect at 90 degrees
- D. It has only one pair of parallel sides
Answer: B. It is a cyclic quadrilateral
Since opposite angles of a rectangle are 90 degrees, their sum is 180, making it a cyclic quadrilateral.
Since opposite angles of a rectangle are 90 degrees, their sum is 180, making it a cyclic quadrilateral.
Consider a quadrilateral ABCD where AB || CD and AD || BC. Which of the following is NOT necessarily true?
- A. AB = CD
- B. AC = BD
- C. Angle A = Angle C
- D. AB || DC
Answer: B. AC = BD
For a general parallelogram, diagonals are not necessarily equal unless it is a rectangle.
For a general parallelogram, diagonals are not necessarily equal unless it is a rectangle.