Chapter Exam

Chapter 8 MATHS : Quadrilaterals — Online MCQ Test

Q: What is the sum of all interior angles of a quadrilateral?

Answer: C. 360 degrees — The sum of interior angles of any simple quadrilateral is given by the formula (n-2) * 180, where n=4.

Q: Which of the following is NOT a property of a parallelogram?

Answer: D. Diagonals are always equal — Diagonals of a parallelogram are equal only if it is a rectangle, not in a general parallelogram.

Q: If an angle of a parallelogram is two-thirds of its adjacent angle, the angles of the parallelogram are:

Answer: B. 72 degrees and 108 degrees — Adjacent angles of a parallelogram sum to 180. x + 2/3x = 180 implies x = 108 and 72.

Q: Which statement is true for every rectangle?

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.

Q: Consider a quadrilateral ABCD where AB || CD and AD || BC. Which of the following is NOT necessarily true?

Answer: B. AC = BD — For a general parallelogram, diagonals are not necessarily equal unless it is a rectangle.

MATHS · CLASS 9th · Andhra State Board

Practice Chapter 8 MATHS : Quadrilaterals with a free chapter-wise online MCQ test for Andhra State Board CLASS 9th MATHS. This chapter covers: This chapter details parallelogram properties angle sum property quadrilateral classification and the mid-point theorem with proofs.. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 8 MATHS : Quadrilaterals — Important Questions & Answers (FAQ)

Frequently asked questions from Andhra State Board CLASS 9th MATHS — Chapter 8 MATHS : Quadrilaterals, with answers and explanations. These are sample questions; the exam has its own separate question set.

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.

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.

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.

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.

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.

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