Class 9 Area of parallelograms And Triangles Quiz Set 2

1. 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:

 
 
 
 

2. 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?

 
 
 
 

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

 
 
 
 

4. 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?

 
 
 
 

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

 
 
 
 

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

 
 
 
 

7. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

12. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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