# MCQs for Mathematics Class 9 with Answers Chapter 9 Areas of Parallelogram and Triangle

Students of Class 9 Mathematics should refer to MCQ Questions Class 9 Mathematics Areas of Parallelogram and Triangle with answers provided here which is an important chapter in Class 9 Mathematics NCERT textbook. These MCQ for Class 9 Mathematics with Answers have been prepared based on the latest CBSE and NCERT syllabus and examination guidelines for Class 9 Mathematics. The following MCQs can help you to practice and get better marks in the upcoming Class 9 Mathematics examination

## Chapter 9 Areas of Parallelogram and Triangle MCQ with Answers Class 9 Mathematics

MCQ Questions Class 9 Mathematics Areas of Parallelogram and Triangle provided below have been prepared by expert teachers of grade 9. These objective questions with solutions are expected to come in the upcoming Standard 9 examinations. Learn the below provided MCQ questions to get better marks in examinations.

Question. ABCD is a trapezium in which AB ∥ DC. A line through A parallel to BC meets diagonal BD at P. If ar(ΔBPC) = 5 cm2, then ar (ΔABD) is

(a) 5 cm2
(b) 2.5 cm2
(c) 7.5 cm2
(d) 10 cm2

A

Question. PQRS is a trapezium with PQ ∥ SR. A line parallel to PR intersects PQ at X and QR at Y. If ar(ΔPYR) = 5 cm2, then ar(ΔPXS) is

(a) 10 cm2
(b) 5 cm2
(c) 2.5 cm2
(d) 7.5 cm2

B

Question. Two parallelograms are on equal base and between the same parallels. The ratio of their areas is
(a) 1 : 2
(b) 2 : 1
(c) 1 : 1
(d) 3 : 1

C

Question. ABCD is a parallelogram. P is any point on CD. If ar(ΔDPA) = 15 cm2 and ar (ΔAPC) = 20 cmm2, then ar(ΔAPB) is
(a) 15 cm2
(b) 20 cm2
(c) 35 cm2
(d) 30 cm2

C

Question. In the given figure, PQRS is a rectangle. If PS = 8 cm and SR = 4 cm, then the area of ΔABC is

(a) 32 cm2
(b) 12 cm2
(c) 20 cm2
(d) 16 cm2

D

Question. PQRS is a parallelogram. A and B are any points on PQ and RQ respectively. If ar(ΔSBR) = 16 cm2 and ar(ΔPBQ) = 8 cm2, then the area of ΔRAS is

(a) 8 cm2
(b) 16 cm2
(c) 24 cm2
(d) 32 cm2

C

Question. In the given figure, the area of quadrilateral ABCD is

(a) 24 cm2
(b) 13 cm2
(c) 21 cm2
(d) 42 cm2

D

Question. ABCD is a parallelogram. If AB = 12 cm, AE = 7.5 cm, CF = 15 cm, then AD is equal to

(a) 6 cm
(b) 3 cm
(c) 10.5 cm
(d) 8 cm

A

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

(a) 24 cm2
(b) 96 cm2
(c) 36 cm2
(d) 48 cm2

D

Question. In the given figure, if ar(∥gm ABCD) = 29 cm2 and AB = 5.8 cm, then the height of ∥gm ABEF is

(a) 4.8 cm
(b) 6 cm
(c) 5 cm
(d) 5.8 cm

C

Question. ABCD is a square. P and Q are mid-points of AB and DC respectively. If AB = 8 cm, then ar(ΔBPD) is

(a) 16 cm2
(b) 18 cm2
(c) 24 cm2
(d) 32 cm2

A

Question. ABC is a triangle in which D is the mid‑point of BC. E and F are mid‑points of DC and AE respectively. If ar (ΔABC) = 16 cm2, then ar(ΔDEF) is

(a) 2 cm2
(b) 1 cm2
(c) 4 cm2
(d) 8 cm2

A

Question. ABCD and ABEF are parallelograms. M is any point of EB. If ar(∥gm ABCD) = 28 cm2, then ar (ΔFAM) is

(a) 7 cm2
(b) 14 cm2
(c) 21 cm2
(d) 28 cm2

B

Question. The mid-point of the sides of a triangle along with any of the vertices as the fourth point make a parallelogram of area equal to
(a) ar(ΔABC)
(b) 1/2 ar(ΔABC)
(c) 1/3 ar(ΔABC)
(d) 1/4 ar(ΔABC)

B

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

(a) 24 cm2
(b) 18 cm2
(c) 12 cm2
(d) 36 cm2

B

Question. In the given figure, ABCD and AGEF are parallelograms. If ar(gm AGEF) = 27 cm2, then ar(ΔADG) + ar(ΔGCB) is

(a) 13.5 cm2
(b) 27 cm2
(c) 9 cm2
(d) 18 cm2

A

Question. In the given figure, ABCD is a parallelogram and its area is 64 cm2. If P is any point in the interior of ∥gm ABCD, then ar(ΔAPD) + ar(ΔPBC) is equal to

(a) 64 cm2
(b) 48 cm2
(c) 32 cm2
(d) 16 cm

C

Question. PQRS is a trapezium. A line drawn parallel to QP through R meets a line parallel to RP drawn through S at X. If ar(trap PQRS) is 22 cm2 and ar (ΔPQR) = 8 cm2, then ar(ΔPXR) is

(a) 15 cm2
(b) 30 cm2
(c) 14 cm2
(d) 8 cm2

C

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

(a) 2.5 cm2
(b) 10 cm2
(c) 5 cm2
(d) 7.5 cm2

C

Question. ABCD is a trapezium with parallel sides AB = a cm and DC = b cm. E and F are the mid-points of the non-parallel sides. The ratio of ar(ABFE) to ar(EFCD) is

(a) a : b
(b) (a + 3b) : (3a + b)
(c) (3a + b) : (a + 3b)
(d) (2a + b) : (3a + b)

C

Question. Points A, B, C and D are collinear. AB = BC = CD.XY ∥ AD. If P and M lie on XY and ar(ΔMCD) = 7 cm2, then ar(ΔAPB) and ar(ΔAPD) respectively are

(a) 7 cm2 , 21 cm2
(b) 7 cm2 , 14 cm2
(c) 14 cm2 , 21 cm2
(d) 14 cm2 , 14 cm2

A

Question. The median of a triangle divides it into two
(a) equilateral triangles
(b) isosceles triangles
(c) right triangles
(d) triangles of equal areas

D

Question. In the given figure, if BC ∥ AE, CD ∥ BE, and ar(ΔBED) = 6 cm2, then ar(ΔABC) is

(a) 6 cm2
(b) 8 cm2
(c) 10 cm2
(d) 12 cm2

A

Question. M and N are the mid-points of sides DC and AB respectively, of a rectangle ABCD. If ar(rectangle ABCD) = 48 cm2, then ar(ΔEMC) is

(a) 36 cm2
(b) 48 cm2
(c) 24 cm2
(d) 12 cm2

D

Question. ABCD is a square. DEGH is a rectangle. Two equal parallelograms on the base DE are

(a) DCFE and DCBA
(b) DEGC and DEFH
(c) ABCD and HDEG
(d) DEGH and DEFC

D

Question. ABCD is a rectangle in which AB = 8 units and AD = 3 units. If DCEF is a parallelogram, then the area of ΔEFG in sq units is

(a) 16
(b) 6
(c) 24
(d) 12

D

Question. In the given figure, if AD ∥ BC, then the triangle which is equal in area to ΔCOD is

(b) ΔBOA
(c) ΔAOD
(d) ΔCOB

B

Question. ABCD is a quadrilateral. A line through D, parallel to AC meets BC produced at E. If ar(ΔABE) = 36 cm2, then the ar(quad ABCD) is

(a) 18 cm2
(b) 36 cm2
(c) 72 cm2
(d) 9 cm2

B

Question. ABCD is a parallelogram and E and F are mid‑points of AD and BC respectively. P is any point on EF. If area of ΔEFC = 8 cm2, then ar(ΔAEP + ΔBFP) is

(a) 16 cm2
(b) 8 cm2
(c) 4 cm2
(d) 12 cm2

B

Question. PQRS and ADEQ are rectangles. RE ∥ AP.If ar(ACPQ) = 25 cm2 and ar(ABEP) = 10 cm2,then ar(PQRS) is

(a) 25 cm2
(b) 10 cm2
(c) 35 cm2
(d) 30 cm2

C

Question. ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD
(a) is a rhombus
(b) is a parallelogram
(c) is a rectangle
(d) need not be any of (a), (b) or (c)

D

Question. ABCD is a parallelogram. O is any point on diagonal BD. If ar(ΔDOP) = 8 cm2, ar (ΔBOS) = 3 cm2 and ar(ΔAPS) = 6 cm2, then ar(∥gm ABCD) is

(a) 33 cm2
(b) 45 cm2
(c) 46 cm2
(d) 34 cm2

C

Question. P is any point on the base BC of ΔABC. D is the mid-point of BC. DE is drawn parallel to PA. If ar (ΔABC) = 12 cm2, then ar(ΔEPC) is

(a) 4 cm2
(b) 8 cm2
(c) 9 cm2
(d) 6 cm2

D

Question. ABCD is a parallelogram in which DC is produced to P such that DC = CP. AP intersects BC at Q. If ar(ΔBQD) = 3 cm2, then ar(∥ gm ABCD) is

(a) 9 cm2
(b) 12 cm2
(c) 15 cm2
(d) 6 cm2

B

Question. PQR is a triangle. S is any point on a line through P parallel to QR. If T is any point on a line through R parallel to SQ, then the three triangles equal in area are

(a) ΔPQR, ΔQSR, ΔQST
(b) ΔPQR, ΔQSR, ΔQRT
(c) ΔQRT, ΔSRT, ΔQSR
(d) ΔQSR, ΔTSR, ΔPQR

A

Question. PQRS is a parallelogram whose diagonals PR and SQ intersect at O. A line segment through O meets PQ at A and SR at B. If ar(∥ gm PQRS) = 25 cm2, then ar (quad SBAP) is
(a) 12 cm2
(b) 50 cm2
(c) 25 cm2
(d) 12.5 cm2

D

Question. In the given figure, ABCD is a parallelogram. If ar(ΔBAP) = 10 cm2 and ar(ΔCPD) = 30 cm2, then ar(∥gm ABCD) is

(a) 40 cm2
(b) 80 cm2
(c) 60 cm2
(d) 100 cm2

B

Question. ABCD and ABFE are parallelograms as shown in the figure. If ar(∥ gm ABCD) = 24 cm2 and ar (∥ gm ABFE) = 18 cm2, then ar(quad EFCD) is

(a) 33 cm2
(b) 42 cm2
(c) 30 cm2
(d) 36 cm2

B

Question. In the given figure, ABCD is a rectangle and EFGH is a trapezium DE = CH. If ar(rect ABCD) = 26 cm2, then ar(trap EFGH) is

(a) 52 cm2
(b) 26 cm2
(c) 39 cm2
(d) 34 cm2

B

Question. PQRS is a trapezium. A is any point on PQ and AB ∥ QR. If ar(ΔPBQ) = 17 cm2, then ar(ΔASR) is

(a) 17 cm2
(b) 8.5 cm2
(c) 10 cm2
(d) 18.5 cm2

A

Question. ABCD is a parallelogram. P is the mid-point of AB. BD and CP intersect at Q. CQ : QP = 3 : 1. If ar(ΔBQC) = 10 cm2, then ar(∥ gm ABCD) is

(a) 130 cm2
(b) 160 cm2
(c) 120 cm2
(d) 90 cm2

B

Question. In the given figure, QA = AB = BC = CR. If ar(ΔPQR) = 24 cm2, then ar(ΔPAR) is

(a) 18 cm2
(b) 12 cm2
(c) 20 cm2
(d) 16 cm2

A

Question. ABCD is a parallelogram. M is any point on AD.P is the mid-point of BM. If the area of parallelogram ABCD = 28 cm2, then the area of ΔMPC is

(a) 14 cm2
(b) 12 cm2
(c) 7 cm2
(d) 16 cm2

C

Question. ABCD, ABEF and AGHF are parallelograms. If ar(∥gm ABCD) = 23 cm2, then ar(DFGH) is

(a) 12 cm2
(b) 12.5 cm2
(c) 11.5 cm2
(d) 23 cm2

C

Question. In the given figure, if ar (∥gm ABEF) = ar (∥gm ABCD) = 50 c m2 , AFGH is a parallelogram and points E, B, G and H are collinear points, then ar(∥gm AFGH) is

(a) 25 cm2
(b) 50 cm2
(c) 100 cm2
(d) 75 cm2