1. In a parallelogram, opposite sides are always:
- AEqual
- BPerpendicular
- CUnequal
- DParallel only but unequal
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Answer: A) Equal
A property of a parallelogram is that opposite sides are equal (and parallel).
Class 9 Properties of a Parallelogram — practice questions with answers
Geometry — Quadrilaterals · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. A diagonal of a parallelogram divides it into two triangles that are:
- ACongruent
- BSimilar but not congruent
- CEquilateral
- DRight-angled
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Answer: A) Congruent
A diagonal divides a parallelogram into two congruent triangles (by ASA/SSS).
3. In parallelogram ABCD, angle A = (2x + 30) deg and its opposite angle C = (3x + 10) deg. Find x.
- A22
- B18
- C40
- D20
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Answer: D) 20
Opposite angles are equal: 2x + 30 = 3x + 10, so x = 20.
4. In parallelogram ABCD, angle DAB = 80 deg. The diagonal AC is drawn so that angle CAB = 30 deg.
Find angle CAD (in degrees).
Find angle CAD (in degrees).
- A55
- B100
- C50
- D45
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Answer: C) 50
Diagonal AC splits angle DAB: angle CAD = angle DAB - angle CAB = 80 - 30 = 50 deg.
5. ABCD is a parallelogram. The bisectors of all four angles are drawn and they enclose a quadrilateral in the middle.
What is the special name of this enclosed quadrilateral?
What is the special name of this enclosed quadrilateral?
- AA rectangle
- BA rhombus
- CA square always
- DA general parallelogram
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Answer: A) A rectangle
The angle bisectors of a parallelogram intersect to form a quadrilateral whose every angle is 90 deg (since pairs of bisectors meet at right angles), making it a rectangle.
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