1. In a parallelogram, the opposite sides are always ____.
- Aequal
- Bperpendicular
- Cunequal
- Dcurved
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Answer: A) equal
A basic property of a parallelogram is that opposite sides are equal in length.
Class 8 Properties of Parallelograms — practice questions with answers
Quadrilaterals · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. In a parallelogram, if all four angles are equal, each angle measures ____ degrees.
- A180
- B90
- C81
- D99
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Answer: B) 90
If all four angles are equal, each = = 90 deg (the parallelogram is a rectangle).
3. Which of these is a parallelogram whose diagonals are equal AND bisect each other at right angles?
- ASquare
- BRhombus
- CRectangle
- DGeneral parallelogram
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Answer: A) Square
A square has equal diagonals (like a rectangle) that bisect at right angles (like a rhombus).
4. In parallelogram ABCD, angle B = 75 deg.
A student lists the four angles in order A, B, C, D.
What is the sum angle A + angle C (in degrees)?
A student lists the four angles in order A, B, C, D.
What is the sum angle A + angle C (in degrees)?
- A230
- B210
- C420
- D190
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Answer: B) 210
Angle A is adjacent to B: A = 180 - 75 = 105. Angle C = angle A = 105 (opposite angles). A + C = 105 + 105 = 210 deg.
5. In parallelogram ABCD, two adjacent angles are (x²) deg and (5x) deg, where x is a positive whole number.
Find the larger of these two angles (in degrees).
Find the larger of these two angles (in degrees).
- A144 deg
- B120 deg
- C100 deg
- D60 deg
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Answer: A) 144 deg
Adjacent angles are supplementary: x² + 5x = 180, so x² + 5x - 180 = 0, (x + 15)(x - 12) = 0, giving x = 12. The angles are x² = 144 deg and 5x = 60 deg. The larger is 144 deg.
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