alleryStart learning →How many sides does a quadrilateral have?
- 3 sides
- 5 sides
- 6 sides
- 4 sides
Show answer and solution
Correct answer: D. 4 sides
A quadrilateral is a polygon with four sides and four vertices.
ICSE Class 8 Understanding Quadrilaterals — practice questions
Explore 40 free Understanding Quadrilaterals questions in ICSE Class 8 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 1–30 of 40.
How many sides does a quadrilateral have?Read the answer and worked solution →What is the sum of the interior angles of a convex quadrilateral?Read the answer and worked solution →A convex quadrilateral has vertices A,B,C,D in order. Which pair consists of its diagonals?Read the answer and worked solution →Use the convex quadrilateral angle total to find a missing angle when the other three are 80°,95°,105°.Read the answer and worked solution →A convex four-sided polygon is equiangular. What is each interior angle?Read the answer and worked solution →Distribute a convex quadrilateral's angle total in the ratio 1:2:3:4. How large is the biggest angle?Read the answer and worked solution →Which side condition defines a parallelogram?Read the answer and worked solution →Parallelogram ABCD has vertices in order. Corner A measures 65°. What is the angle across at C?Read the answer and worked solution →For parallelogram ABCD, with vertices in order, find angle B next to a 65° angle A.Read the answer and worked solution →In a parallelogram, one adjacent angle is 3/2 times the other. Find the larger angle.Read the answer and worked solution →Equal neighbouring angles occur in a parallelogram. Choose the most specific class forced.Read the answer and worked solution →Opposite edges AB and CD belong to parallelogram ABCD, with vertices in order. If AB=8 cm, find CD.Read the answer and worked solution →Two adjacent sides of a parallelogram are 12 cm and 7 cm. Find its perimeter.Read the answer and worked solution →Parallelogram ABCD has vertices in order. Its diagonals AC,BD meet at O. Which pair of equalities must hold?Read the answer and worked solution →Parallelogram ABCD's diagonals meet at O. AO=2x+1 cm and OC=3x−2 cm. Find the whole diagonal AC.Read the answer and worked solution →A convex quadrilateral has mutually bisecting diagonals. Which listed shape type necessarily follows?Read the answer and worked solution →Both opposite side pairs of a convex quadrilateral have matching lengths. Which listed class must contain it?Read the answer and worked solution →A convex quadrilateral has an opposite side pair both equal and parallel. Which listed class follows?Read the answer and worked solution →A convex quadrilateral ABCD, named in order, has ∠A=∠C and ∠B=∠D. Which listed class follows?Read the answer and worked solution →A quadrilateral has four right angles, but no side lengths are compared. Select the most specific guaranteed shape.Read the answer and worked solution →Rectangle ABCD has vertices in order and BD=10 cm. Find the other diagonal AC.Read the answer and worked solution →Rectangle ABCD has vertices in order. Diagonals AC,BD meet at O, and AO=5 cm. What is BO?Read the answer and worked solution →Which statement about quadrilateral classes is false?Read the answer and worked solution →All four sides of a quadrilateral are equal; angles are unknown. Give its most specific class.Read the answer and worked solution →The diagonals of a rhombus meet at O. What is the measure of each angle between them?Read the answer and worked solution →Which statement is not required for a rhombus?Read the answer and worked solution →Starting with a rhombus, one vertex is found to be a right angle. Name the most specific resulting shape.Read the answer and worked solution →A quadrilateral is both a rectangle and a rhombus. What is the most specific name for it?Read the answer and worked solution →Which description always fits a square's diagonals?Read the answer and worked solution →Square ABCD has vertices in order. What angle does diagonal AC make with side AB?Read the answer and worked solution →
Worked practice questions
What is the sum of the interior angles of a convex quadrilateral?
- 540°
- 180°
- 360°
- 270°
Show answer and solution
Correct answer: C. 360°
A diagonal splits a convex quadrilateral into two triangles, so its interior angles sum to 2×180°=360°.
A convex quadrilateral has vertices A,B,C,D in order. Which pair consists of its diagonals?
- AB and CD
- AB and BC
- AD and BC
- AC and BD
Show answer and solution
Correct answer: D. AC and BD
Diagonals join opposite vertices, giving AC and BD. The other listed segments are sides.
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