Class 9 Area of parallelograms And Triangles Quiz Set 2

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

 
 
 
 

2. In the figure, AD is a median and P is a point on it. Which of the following is correct?

 
 
 
 

3. D and E are the mid-points of BC and AD respectively. If ar(ΔABC) = 12 cm², then ar(ΔBDE) is

 
 
 
 

4. In the figure if parallelogram PQFE and rectangle PQRS are of equal area, then which of the following is true?

 
 
 
 

5. ABCD is a trapezium in which AB || DC. If ar(ΔABD) = 24 cm² and AB = 8 cm, then height of ΔABC is

 
 
 
 

6. In the fig, area of ΔADC is equal to area of ΔABC. Which of the following is correct?

 
 
 
 

7. In the following figure P, Q and R are the mid-points of AB, BC and AC respectively. Which of the following is the area of ΔPQR?

 
 
 
 

8. PQRS is a parallelogram. If X and Y are the mid-points of PQ and SR and diagonal SQ is joined, then ar(XQRY) : ar(ΔQSR) is

 
 
 
 

9. In the figure P, Q and R are the mid-point of the sides AB, BC and AC respectively, which of the following is the area of APQR?

 
 
 
 

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. In the figure, BC = CD = DE and P is the mid-point of CD. Which of the following is the area of ΔAPC?

 
 
 
 

12. ABCD is a quadrilateral whose diagonal AC divides it in two parts of equal area, then ABCD is a

 
 
 
 

13. In quadrilateral PQRS, M is the mid-point of PR. If ar(SMQR) = 18 cm², then ar(PQMS) is

 
 
 
 

14. A, B, C and D are the mid-points of sides of parallelogram PQRS. If ar(PQRS) = 36 cm², then ar(ABCD) is

 
 
 
 

15. PQRS is a parallelogram and A and B are any points on PQ and QR. If ar(PQRS) = 48 cm², then ar(ΔPBS) + ar(ΔASR) is equal to

 
 
 
 

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