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Questions

Q1. Which one is not a property of Rhombus.
(a) All sides of are equal
(b) Opposites angle are equal
(c) Diagonals bisect the interior angle.
(d) Both diagonals are equal

Q2. A diagonal of parallelogram divides it into two equal area triangles.
(a) False (b) True (c) Can't say

Q3. In an parallelogram ABCD in which diagonals AC and BD intersect at o. If area of parallelogram ABCD is 80 cm² the find area of triangle OAB .

(a) 10cm² (b) 20cm² (c) 30cm² (d) 40cm²

Q4. A rhombus of side 40 cm has two angles of 60^o each. find the length of diagonals.

(a) 10,20 (b) 20,40 (c) 40√3, 20 (d) 40√3, 40

Solution.
(d) 40√3, 40



= cos 30^o AO/AB

√3/2 = AO/40

AO = 20√3

sin 30^o = OB/AB

1/2 = OB/AB

= 20

Q5. A parallelogram circumscribing a circle is a ___________.

(a) Rectangle (b) Trapezium (c) Square (d) Rhombus

Q6. The length of diagonals of a rhombus are 10 cm and √300 cm , Find the perimeter of the rhombus.

(a) 40 cm (b) 10 cm (c) 60 cm (d) 50 cm

Q7. Find the area of a parallelogram with 9 cm and the corresponding altitude is 6 cm.

(a) 6cm² (b) 27cm² (c) 54cm² (d) 9cm²

Q8. Find height of trapezium between two parallel line if the area of trapezium is 60cm² and sum of parallel sides is 30 cm.

(a) 4 (b) 5 (c) 6 (d) 9

Q9. The adjacent angles of a parallelogram are as 3:6 . find the largest angle.

Q10. ABCD is a trapezium in which AB parallel to DC , M and N are the mid-points of AD and BC respectively . If AB = 16 cm and DC = 21 cm, find MN .