1. What is the sum of all the interior angles of any quadrilateral?
- A180 deg
- B270 deg
- C360 deg
- D540 deg
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Answer: C) 360 deg
A quadrilateral can be split into 2 triangles, so the angle sum is 2 x 180 = 360 deg.
Class 8 Properties of Quadrilaterals — practice questions with answers
Geometry · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. Which quadrilateral has exactly two pairs of equal adjacent sides and one pair of equal opposite angles?
- AKite
- BRectangle
- CRhombus
- DTrapezium
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Answer: A) Kite
A kite has two distinct pairs of equal adjacent sides and one pair of equal opposite angles.
3. In a rhombus, opposite angles measure 4x deg and 100 deg. Find x.
- A23
- B25
- C50
- D27
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Answer: B) 25
Opposite angles of a rhombus are equal: 4x = 100, so x = 25.
4. A kite ABCD has AB = AD = 7 cm and CB = CD = 11 cm.
Find the perimeter of the kite (in cm).
Find the perimeter of the kite (in cm).
- A40
- B36
- C72
- D32
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Answer: B) 36
Perimeter = AB + AD + CB + CD = 7 + 7 + 11 + 11 = 36 cm.
5. ABCD is a quadrilateral in which AB = CD and AD = BC (both pairs of opposite sides equal). Reena argues this forces ABCD to be a parallelogram.
Which justification supports her conclusion?
Which justification supports her conclusion?
- AIf both pairs of opposite sides of a quadrilateral are equal, it is a parallelogram
- BEqual opposite sides only make it a kite
- CEqual opposite sides only make it a trapezium
- DThis is true only if a diagonal is drawn equal to a side
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Answer: A) If both pairs of opposite sides of a quadrilateral are equal, it is a parallelogram
A quadrilateral with both pairs of opposite sides equal is a parallelogram (standard converse property, provable via congruent triangles using a diagonal).
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