Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions

If one diagonal of a rectangle is 6 cm long, length of the other diagonal is ______.

Diagonals of a rectangle are equal.

Diagonals of rectangle bisect each other at right angles.

A photo frame is in the shape of a quadrilateral. With one diagonal longer than the other. Is it a rectangle? Why or why not?

Name the quadrilaterals whose diagonals are equal

Explain why a rectangle is a convex quadrilateral.

ABC is a right-angled triangle and O is the mid point of the side opposite to the right angle. Explain why O is equidistant from A, B and C. (The dotted lines are drawn additionally to help you)

The shorter side of a parallelogram is 4.8 cm and the longer side is half as much again as the shorter side. Find the perimeter of the parallelogram.

Two adjacent angles of a parallelogram are (3x − 4)° and (3x + 10)°. Find the angles of the parallelogram.

In a parallelogram ABCD, the diagonals bisect each other at O. If ∠ABC = 30°, ∠BDC = 10° and ∠CAB = 70°. Find:
∠DAB, ∠ADC, ∠BCD, ∠AOD, ∠DOC, ∠BOC, ∠AOB, ∠ACD, ∠CAB, ∠ADB, ∠ACB, ∠DBC and ∠DBA.

The angle between the altitudes of a parallelogram, through the same vertex of an obtuse angle of the parallelogram is 60°. Find the angles of the parallelogram.

In the following figure, ABCD and AEFG are parallelograms. If ∠C = 55°, what is the measure of ∠F?

In the following figure, BDEF and DCEF are each a parallelogram. Is it true that BD = DC? Why or why not? 

In Fig. 17.29, suppose it is known that DE = DF. Then, is ΔABC isosceles? Why or why not?

Diagonals of a parallelogram ABCD intersect at O. AL and CM are drawn perpendiculars to BD such that L and M lie on BD. Is AL = CM? Why or why not?

Which of the following statement is true for a rectangle? 

 It has two pairs of equal sides.

Which of the following statement is true for a rectangle? 

 It has all its sides of equal length.

Which of the following statement is true for a rectangle? 

 Its diagonals are equal.

Which of the following statement is true for a rectangle? 

 Its diagonals bisect each other.

Which of the following statement is true for a rectangle? 

Its diagonals are perpendicular.