Chapter 9 – Areas Parallelograms and Triangles

1. What is the area of a parallelogram?

2. AE is a median to side BC of triangle ABC. If area(ΔABC) = 24 cm, then area(ΔABE) =

3. In the figure, ∠PQR = 90°, PS = RS, QP = 12 cm and QS = 6.5 cm. The area of ΔPQR is

4. ABCD is quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD

5. In ΔPQR, if D and E are points on PQ and PR respectively such that DE || QR, then ar (PQE) is equal to

6. If Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Then,

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

8. Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is:

9. If P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD, then:

10. 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:

11. Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is

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

13. The median of a triangle divides it into two

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

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

16. D,E,F are mid points of the sides BC, CA & AB respectively of ΔABC, then area of BDEF is equal to

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

18. A median of a triangle divides it into two

19. If ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 10 cm, AE = 6 cm and CF = 5 cm, then AD is equal to:

20. If E, F, G and H are the mid-points of the sides of a parallelogram ABCD, respectively, then ar (EFGH) is equal to:

21. If P and Q are any two points lying on the sides DC and AD respectively of a parallelogram ABCD, then:

22. If ABCD and EFGH are two parallelograms between same parallel lines and on the same base, then:

23. A median of a triangle divides it into two

24. In a triangle ABC, E is the mid-point of median AD. Then:

25. If D and E are points on sides AB and AC respectively of ΔABC such that ar(DBC) = ar(EBC). Then:

26. If Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Then,

27. If Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar(△AOD) = ar(△BOC). Then ABCD is a:

28. If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram will be: