1. A rectangle is a parallelogram in which each angle measures:
- A60 deg
- B90 deg
- C120 deg
- D45 deg
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Answer: B) 90 deg
By definition a rectangle is a parallelogram with all four angles equal to a right angle, i.e. 90 deg.
Class 8 Special 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. The diagonals of a square measure 10 cm each. The diagonals of every square are also:
- Aunequal
- Bperpendicular to each other
- Cparallel to a side
- Dof different lengths
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Answer: B) perpendicular to each other
A square is also a rhombus, so its equal diagonals also bisect each other at right angles.
3. Diagonals of a rhombus are 30 cm and 16 cm. Find the length of each side (in cm).
- A34
- B17
- C18
- D16
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Answer: B) 17
Half diagonals are 15 and 8. Side = = = = 17 cm.
4. In rhombus ABCD, the diagonal AC = 24 cm and the side = 13 cm.
Find the area of the rhombus (in sq cm).
Find the area of the rhombus (in sq cm).
- A240
- B110
- C120
- D130
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Answer: C) 120
Half of AC = 12. Half of BD = = = 5, so BD = 10. Area = x d1 x d2 = (24)(10) = 120 sq cm.
5. A farmer in Punjab has a rhombus-shaped field. Its diagonals are 80 m and 60 m.
He wants to divide the field into 4 equal triangular plots using the two diagonals.
Find the area (in sq m) of each triangular plot.
He wants to divide the field into 4 equal triangular plots using the two diagonals.
Find the area (in sq m) of each triangular plot.
- A1200
- B600
- C540
- D660
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Answer: B) 600
Total area = (80)(60) = 2400 sq m. The diagonals split it into 4 equal triangles, each = = 600 sq m.
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