# AREAS OF PARALLELOGRAMS AND TRIANGLES NCERT 9 MATHEMATICS TEXTBOOK MCQ (Multiple Choice Questions)

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. 1 : 2
2. 2 : 1
3. 1 : 1
4. 1 : 4

Q2. If the base of a parallelogram is 8 cm and its altitude is 5 cm, then its area is equal to

1. 15 cm2
2. 20 cm2
3. 40 cm2
4. 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

1. Equal to the area of the parallelogram
2. Twice the area of the parallelogram
3. Four times the area of the parallelogram
4. Half the area of the parallelogram

Q4. The area of a rhombus, the lengths of whose diagonals are 16 cm and 24 cm, is

1. 150 cm2
2. 192 cm2
3. 384 cm2
4. 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

1. 210 sq cm
2. 280 sq cm
3. 420 sq cm
4. 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

1. 25 cm2
2. 12.5 cm2
3. 15 cm2
4. 20 cm2

Q8. For two figures to be on the same base and between the same parallels, they must have a common base and

1. One common vertex
2. Two common vertices
3. The vertices(or the vertex) opposite to the common base lying on a line making an acute angle to the base
4. 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

1. 20 cm
2. 13 cm
3. 12 cm
4. 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

1. 30 cm2
2. 80 cm2
3. 120 cm2
4. 60 cm2

Q11. For two figures to be on the same base and between the same parallels, they must have a common base and____

1. One common vertex
2. Two common vertices
3. The vertices(or the vertex) opposite to the common base lying on a line making an acute angle to the base
4. 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

1. Equal area
2. Unequal area
3. Equal sides
4. 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.

1. Perpendicular to the common base
2. Making an acute angle to the common base
3. Making an obtuse angle to the common base
4. The line containing the common base

Q14. The area of a parallelogram whose base is 4 cm and the height is 5 cm is

1. 20 cm2
2. 20 cm
3. 30 cm
4. 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. 1 : 3
2. 1 : 2
3. 3 : 1
4. 1 : 4

Q16. If each diagonal of a quadrilateral separates it into two triangles of equal area, then the quadrilateral is a

1. Square
2. Rhombus
3. Parallelogram
4. Trapezium

Q17. The ratio of the areas of two parallelograms on the same base and between the same parallels is:

1. 1 : 2
2. 1 : 1
3. 1 : 3
4. 2 : 1

Q18. A rectangle is called congruent to a square of side 5 cm provided

1. The adjacent sides of the rectangle are each of length 5 cm
2. The perimeter of the rectangle is 20 cm
3. The area of the rectangle is 40 sq cm
4. The sides of the rectangle are of length 10 cm

Q19. The magnitude of measure of a planar region is called its.

1. Perimeter
2. Area
3. Volume
4. 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

1. 64
2. 48
3. 59
4. 52