**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 cm
^{2} - 20 cm
^{2} - 40 cm
^{2} - 10 cm
^{2}

**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 cm
^{2} - 192 cm
^{2} - 384 cm
^{2} - 40 cm
^{2}

**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 cm ^{2} and on the same base CD, a triangle BCD is given such that area BCD = x cm^{2}, then value of x is**

- 25 cm
^{2} - 12.5 cm
^{2} - 15 cm
^{2} - 20 cm
^{2}

**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 cm
^{2} - 80 cm
^{2} - 120 cm
^{2} - 60 cm
^{2}

**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 cm
^{2} - 20 cm
- 30 cm
- 30 cm
^{2}

**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