**MCQs Questions for Class 9 Maths Chapter 9 Areas of Parallelograms and Triangles**

In this 21^{st} century, Multiple Choice Questions (MCQs) play an important role to prepare for a competitive examination. Now-a-days, MCQs questions are asked in CBSE board examinations as well. In most of the competitive examinations, only MCQ Questions are asked.

In future, if you want to prepare for competitive examination, then you should focus on the MCQs questions. Thus, let’s solve these MCQs questions to make our foundation strong.

In this post, you will find **15** **MCQs questions for class 9 maths chapter 9 areas of parallelograms and triangles**.

**MCQs Questions for Class 9
Maths Chapter 9 Areas of Parallelograms and Triangles**

**1.**
Two parallelograms are on equal bases and
between the same parallels. The ratio of their areas is

(a) 1 : 2

(b) 1 : 1

(c) 2 : 1

(d) 3 : 1

**Answer: b**** **

**2.**
**If E, F, G and H are the mid-points of the sides of a
parallelogram ABCD, respectively, then ar (EFGH) is equal to:**

(a) ½ ar(ABCD)

(b) ¼ ar(ABCD)

(c) 2 ar(ABCD)

(d) ar(ABCD)

**Answer: a**

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

(a) rectangle

(b) rhombus

(c) parallelogram

(d) need not be any of (a), (b) or (c)

**Answer: d**

**4. **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 is

(a) 1 : 3

(b) 1 : 2

(c) 3 : 1

(d) 1 : 4

**Answer: b**

**5. **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:**
**(a) 10 cm

(b) 6 cm

(c) 12 cm

(d) 15 cm

**Answer: c**

**6. **The median of a triangle divides it into two

(a) isosceles triangle

(b) congruent triangles

(c) right angled triangle

(d) triangles of equal areas

**Answer: d**

**7.**
If P and Q are any two points lying on the sides DC and AD
respectively of a parallelogram ABCD, then:**
**(a) ar(APB) > ar(BQC)

(b) ar(APB) < ar(BQC)

(c) ar(APB) = ar(BQC)

(d) None of the above

**Answer: c**

**8. **D and E are the mid-points of BC and AD respectively. If
ar(Î”ABC) = 12 cm², then ar(Î”BDE) is

(a) 5 cm²

(b) 6 cm²

(c) 3 cm²

(d) 9 cm²

**Answer: c**

**9.**
If ABCD and EFGH are two parallelograms between same parallel
lines and on the same base, then:

(a) ar (ABCD) > ar (EFGH)

(b) ar (ABCD) < ar (EFGH)

(c) ar (ABCD) = ar (EFGH)

(d) None of the above

**Answer: c**

**10.** If D and E are points on sides AB and AC
respectively of Î”ABC such that ar(DBC) = ar(EBC). Then:

(a) DE is equal to BC

(b) DE is parallel to BC

(c) DE is not equal to BC

(d) DE is perpendicular to BC

**Answer: b**

**11.** 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:

(a) 1 : 2

(b) 3 : 2

(c) 1 : 4

(d) 1 : 3

**Answer: a**

**12. **If the diagonals AC and BD of a trapezium ABCD
with AB || DC intersect each other at O. Then,**
**(a) ar (AOD) = ar
(BOC)

(b) ar (AOD) > ar (BOC)

(c) ar (AOD) < ar (BOC)

(d) None of the above

**Answer: a**

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

(a) 24 cm²

(b) 12 cm²

(c) 18 cm²

(d) 36 cm²

**Answer: c**

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

(a) 24 cm²

(b) 18 cm²

(c) 30 cm²

(d) 36 cm²

**Answer: b**

**15. **ABCD is a trapezium in which AB || DC. If ar(Î”ABD) = 24 cm²
and AB = 8 cm, then height of Î”ABC is

(a) 3 cm

(b) 6 cm

(c) 8 cm

(d) 4 cm

**Answer: d**