Quadrilaterals are four-sided polygons that include shapes like squares, rectangles, parallelograms, rhombuses, and trapeziums. Each type has unique properties related to sides, angles, and diagonals. Understanding quadrilaterals is important for solving geometric problems and is useful in construction, design, and architecture. These Quadrilaterals Grade 8 MCQ test students' knowledge of properties and theorems related to various quadrilaterals. Students can attempt these 10 MCQs to check how well they can identify, classify, and work with the properties of different quadrilaterals.
ABCD is a rhombus whose diagonals intersect at O. If AB = 10 cm, BD = 16 cm, then find the length of other diagonal AC.
Answer: (d) 12 cm
The diagonals of rectangle PQRS intersect at O. If ∠QOR = 56o, find ∠OPQ.
Answer: (a) 45o
The measure of the angles of a pentagon are (x - 5)o, (x - 6)o , (2x - 7)o, xo and (2x - 2)o. Find the value of x.
Answer: (b) 80o
In the given figure, ABCD is a rectangle. Find the value of ∠EBD.
Answer: (a) 12o
In a rectangle, the length of one diagonal is given by (4x + 1) cm, and the other diagonal is given by (2x + 15) cm. If the two diagonals are equal, find the value of x. Calculate the area of a square whose side length is x.
Answer: (b) 49 cm2
ABCD is a rhombus whose one angle is 60o. The ratio of the the lengths of its diagonals.
Answer: (b) 1 : √3
In the given figure, ∠A, ∠B and ∠C are right angles. If ∠AEB = 40o and ∠BED = ∠BDE, then find the value of ∠CDE.
Answer: (d) 90o
A rangoli has been drawn on a floor of house. ABCD and PQRS both are in the shape of rhombus . Find the radius of semicircle drawn on each side of the rhombus ABCD.
Answer: (b) 5/2 units
Choose the incorrect options: a) The diagonals of a rectangle bisect each other at right angles. b) The diagonals of a square bisect each other at right angle. c) If the diagonals of a rhombus are equal, its always a square. d) In a parallelogram opposite angles are equal.
Answer: (c) a, c
In the given figure, ABCD is a quadrilateral. The bisectors of ∠B and the exterior angle at D meet at P. Given ∠C = 180o, ∠ADC = 1/2 ∠A and ∠A equals ∠C + 40o. Find the value of ∠DPB.
Answer: (c) 70o
| Topic | Quiz |
|---|---|
| Algebraic Expressions and Identities | Quiz on Algebraic Expressions and Identities |
| Comparing Quantities | Quiz on Comparing Quantities |
| Cubes and Cube Roots | Quiz on Cubes and Cube Roots |
| Data Handling | Quiz on Data Handling |
| Direct and Indirect Proportion | Quiz on Direct and Indirect Proportion |
| Exponents and Powers | Quiz on Exponents and Powers |
| Factorisation | Quiz on Factorisation |
| Linear Equations in One and Two Variable | Quiz on Linear Equations in One and Two Variable |
| Mensuration | Quiz on Mensuration |
| Probability | Quiz on Probability |
| Rational Numbers | Quiz on Rational Numbers |
| Squares and Square Roots | Quiz on Squares and Square Roots |
| Understanding Quadrilaterals | Quiz on Understanding Quadrilaterals |
