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Q1. 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
Q2. 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
Q3. 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
Q4. 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
Q5. 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
Q6. 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
Q7. 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
Q8. 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
Q9. 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
Q10. 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
Q11. 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
Q12. 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.
Q13. 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
Q14. 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
Q15. 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
Q16. If each diagonal of a quadrilateral separates it into two triangles of equal area, then the quadrilateral is a
Square
Rhombus
Parallelogram
Trapezium
Q17. 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
Q18. 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
Q19. The magnitude of measure of a planar region is called its.
Perimeter
Area
Volume
Height
Q20. 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



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