Maths MCQs for Class 9 with Answers Chapter 9 Areas of Parallelograms and Triangles

Find here the NCERT Book Multiple Choice Questions from Class 9 Maths book with Answers Pdf free download as per CBSE new exam pattern. This may assist you to understand and check your knowledge about the chapters. Students also can take a free test of the Multiple Choice Questions of Class 9 Maths. Each question has four options followed by the right answer. These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.

Q.1 A median of a triangle divides it into two

(a) Congruent triangles
(b) Isosceles triangles
(c) Right triangles
(d) Equal area triangles

(d) Equal area triangles

Q.2 The area of a right triangle is 30 sq cm. If the base is 5 cm, then the hypotenuse must be

(a) 12 cm
(b) 18 cm
(c) 13 cm
(d) 20 cm

Q.3 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

(a) it is 1 : 4.
(b) it is 3 : 1.
(c) it is 1 : 2.
(d) it is 1 : 4.

Q.4 The median of a triangle divides it into two

(a) isosceles triangle
(b) congruent triangles
(c) right angled triangle
(d) triangles of equal areas

(d) triangles of equal areas

Q.5 If 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

(a) ar (AOD) = ar (BOC)

Q.6 For two figures to be on the same base and between the same parallels, one of the lines must be.

(a) Making an acute angle to the common base
(b) The line containing the common base
(c) Perpendicular to the common base
(d) Making an obtuse angle to the common base

(b) The line containing the common base

Q.7 Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is:

(a) 1 : 3
(b) 1 : 2
(c) 2 : 1
(d) 1 : 1

(d) 1 : 1

Q.8 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

Q.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

Q.10 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

(a) 1:2

Q.11 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:

(a) 1 : 3
(b) 1 : 2
(c) 1 : 1
(d) 1 : 4

(b) 1 : 2

Q.12 AE is a median to side BC of triangle ABC. If area(ΔABC) = 24 cm, then area(ΔABE) =

(a) 8 cm
(b) 12 cm
(c) 16 cm
(d) 18 cm

(b) 12 cm

Q.13 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:

(a) Parallelogram
(b) Rectangle
(c) Square
(d) Trapezium

(d) Trapezium

Q.14 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)

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

Q.15 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) 10cm
(b) 6cm
(c) 12cm
(d) 15cm

Q.16 If D and E are points on sides AB and AC respectively of ΔABC 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

(b) DE is parallel to BC

Q.17 If Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Then,