Secondary School (English Medium) (5 to 8) कक्षा ८ - CBSE Question Bank Solutions for Mathematics

PQRS is a trapezium in which PQ || SR and ∠P = 130°, ∠Q = 110°. Then ∠R is equal to ______.

A quadrilateral in which a pair of opposite sides is parallel is ______.

In trapezium ABCD with AB || CD, if ∠A = 100°, then ∠D = ______.

All angles of a trapezium are equal.

Every trapezium is a parallelogram.

Every rhombus is a trapezium.

Of the four quadrilaterals-square, rectangle, rhombus and trapezium-one is somewhat different from the others because of its design. Find it and give justification.

In trapezium HARE, EP and RP are bisectors of ∠E and ∠R respectively. Find ∠HAR and ∠EHA.

Find the value of x in the trapezium ABCD given below.

In a quadrilateral HOPE, PS and ES are bisectors of ∠P and ∠E respectively. Give reason.

ABCD is a trapezium such that AB || CD, ∠A : ∠D = 2 : 1, ∠B : ∠C = 7 : 5. Find the angles of the trapezium.

In the following figure, AB || DC and AD = BC. Find the value of x.

Construct a trapezium ABCD in which AB || DC, ∠A = 105°, AD = 3 cm, AB = 4 cm and CD = 8 cm.

Construct a trapezium RISK in which RI || KS, RI = 7 cm, IS = 5 cm, RK = 6.5 cm and ∠I = 60°.

Construct a trapezium ABCD where AB || CD, AD = BC = 3.2 cm, AB = 6.4 cm and CD = 9.6 cm. Measure ∠B and ∠A.

[Hint: Difference of two parallel sides gives an equilateral triangle.]

In a solid if F = V = 5, then the number of edges in this shape is ______.

Which of the following cannot be true for a polyhedron?

If a solid shape has 12 faces and 20 vertices, then the number of edges in this solid is ______.

If the sum of number of vertices and faces in a polyhedron is 14, then the number of edges in that shape is ______.

Euler’s formula is true for all three-dimensional shapes.