9

Q1. For two figures to be on the same base and between the same parallels, one of the lines must be.

Perpendicular to the common base

Making an acute angle to the common base

Making an obtuse angle to the common base

The line containing the common base

Q2. The ratio of the areas of two parallelograms on the same base and between the same parallels is:

1 : 2

1 : 1

1 : 3

2 : 1

Q3. A median of a triangle divides it into two triangles of

Equal area

Unequal area

Equal sides

Each one-fourth of the area of the given triangle.

Q4. A triangle and a rhombus are on the same base and between the same parallels. Then the ratio of area of triangle to that rhombus is:

1 : 1

1 : 2

1 : 3

1 : 4

Q5. If area of parallelogram ABCD is 25 cm² and on the same base CD, a triangle BCD is given such that area BCD = x cm², then value of x is

25 cm²

12.5 cm²

15 cm²

20 cm²

Q6. The area of a rhombus, the lengths of whose diagonals are 16 cm and 24 cm, is

150 cm²

192 cm²

384 cm²

40 cm²

Q7. The magnitude of measure of a planar region is called its.

Perimeter

Area

Volume

Height

Q8. The area of a parallelogram whose base is 4 cm and the height is 5 cm is

20 cm²

20 cm

30 cm

30 cm²

Q9. If a triangle and a square are on the same base and between the same parallels, then the ratio of area of triangle to the area of square is

1 : 3

1 : 2

3 : 1

1 : 4

Q10. If each diagonal of a quadrilateral separates it into two triangles of equal area, then the quadrilateral is a

Square

Rhombus

Parallelogram

Trapezium

Q11. Parallelogram ABCD and rectangle ABEF are on the same base AB. If AB=14 cm, BC=12 cm, then the possible value for the perimeter of ABEF is

64

48

59

52

Q12. Area of a trapezium, whose parallel sides are 9 cm and 6 cm respectively and the distance between these sides is 8 cm, is

30 cm²

80 cm²

120 cm²

60 cm²

Q13. ABCD is a parallelogram. If E and F are mid points of sides AB and CD and diagonal AC is joined then ar (FCBE) : ar (CAB) is:

1 : 2

2 : 1

1 : 1

1 : 4

Q14. For two figures to be on the same base and between the same parallels, they must have a common base and____

One common vertex

Two common vertices

The vertices(or the vertex) opposite to the common base lying on a line making an acute angle to the base

The vertices(or the vertex) opposite to the common base lying on a line parallel to the base

Q15. The area of a right triangle is 30 sq cm. If the base is 5 cm , then the hypotenuse must be

20 cm

13 cm

12 cm

18 cm

Q16. If a parallelogram and a triangle are on the same base and between the same parallels, then the area of the triangle is

Equal to the area of the parallelogram

Twice the area of the parallelogram

Four times the area of the parallelogram

Half the area of the parallelogram

Q17. For two figures to be on the same base and between the same parallels, they must have a common base and

One common vertex

Two common vertices

The vertices(or the vertex) opposite to the common base lying on a line making an acute angle to the base

The vertices(or the vertex) opposite to the common base lying on a line parallel to the base

Q18. If the base of a parallelogram is 8 cm and its altitude is 5 cm, then its area is equal to

15 cm²

20 cm²

40 cm²

10 cm²

Q19. A rectangle is called congruent to a square of side 5 cm provided

The adjacent sides of the rectangle are each of length 5 cm

The perimeter of the rectangle is 20 cm

The area of the rectangle is 40 sq cm

The sides of the rectangle are of length 10 cm

Q20. Two parallelograms ABCD, EFGH are on equal bases AB and EF and between the same parallel lines. If area (||gm ABCD)=140 sq cm, then sum of areas of the two parallelograms is

210 sq cm

280 sq cm

420 sq cm

240 sq cm

Solution

280 sq cm