ML Aggarwal Theorems on Area MCQs Class 9 ICSE Maths Solutions

ML Aggarwal Theorems on Area MCQs Class 9 ICSE Maths APC Understanding Solutions. Solutions of  MCQs . This post is the Solutions of  ML Aggarwal  Chapter 14- Theorems on Area for ICSE Maths Class-9.  APC Understanding ML Aggarwal Solutions (APC) Avichal Publication Solutions of Chapter-14 Theorems on Area for ICSE Board Class-9Visit official website CISCE for detail information about ICSE Board Class-9.

ML Aggarwal Theorems on Area MCQs Class 9 ICSE Maths Solutions

Board ICSE
Publications Avichal Publishig Company (APC)
Subject Maths
Class 9th
Chapter-14 Theorems on Area
Writer ML Aggarwal
Book Name Understanding
Topics Solution of MCQs
Edition 2021-2022

MCQs Solutions of ML Aggarwal for ICSE Class-9 Ch-14, Theorems on Area

Note:- Before viewing Solutions of Chapter -14 Theorems on Area Class-9 of ML AggarwaSolutions .  Read the Chapter Carefully. Then solve all example given in Exercise-14, MCQs, Chapter Test.


Theorems on Area MCQs

ML Aggarwal Class 9 ICSE Maths Solutions

Page 318

Choose the correct answer from the given four options (1 to 8):

Question 1. In the given figure, if l || m, AF || BE, FC ⊥ m and ED ⊥ m , then the correct statement is

(a) area of ||ABEF = area of rect. CDEF
(b) area of ||ABEF = area of quad. CBEF
(c) area of ||ABEF = 2 area of ∆ACF
(d) area of ||ABEF = 2 area of ∆EBD

Answer :

In the given figure,
l ||m, AF || BE, FC ⊥ m and ED ⊥ m
∵ ||gm ABEF and rectangle CDEF are on the same base EF and between the same parallel
∴ area ||gm ABEF = area rect. CDEF

(a) area of ||ABEF = area of rect. CDEF is correct 

Question 2. 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 :

A triangle and a parallelogram are on the same base and between same parallel, then
∴ They are equal in area
∴ Their ratio 1:1 

(b) 1 : 1 is correct

Question 3. If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of area of the triangle to the area of parallelogram is

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

Answer : A triangle and a parallelogram are on the same base and between same parallel, then area of

triangle = 1/2 area ||gm
∴ Their ratio 1 : 2

(b) 1 : 2 is correct

Question 4. A median of a triangle divides it into two

(a) triangles of equal area
(b) congruent triangles
(c) right triangles
(d) isosceles triangles

Answer :

A median of a triangle divides it into two triangle equal in area.

(a) triangles of equal area is correct

Question 5. In the given figure, area of parallelogram ABCD is

(a) AB x BM
(b) BC x BN
(c) DC x DL
(d) AD x DL

Answer :

In the given figure,
Area of ||gm ABCD = AB x DL or DC x DL (∵ AB = DC)

(c) DC x DL is correct

Question 6. The mid-points of the sides of a triangle along with any of the vertices as the fourth point make a parallelogram of area equal to

(a) 1/2 area of ∆ABC
(b) 1/3 area of ∆ABC
(c) 1/4 area of ∆ABC
(d) area of ∆ABC

Answer :

(a) 1/2 area of ∆ABC is correct


Theorems on Area Exe-14

ML Aggarwal Class 9 ICSE Maths Solutions

Page 319

Question 7. In the given figure, ABCD is a trapezium with parallel sides AB = a cm and DC = b cm. E and F are mid-points of the non parallel sides. The ratio of area of ABEF and area of EFCD is

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

Answer :

(b) (3a + b) : (a + 3b) is correct

Question 8. In the given figure, AB || DC and AB ≠ DC. If the diagonals AC and BD of the trapezium ABCD intersect at O, then which of the following statements is not true?

(a) area of ∆ABC = area of ∆ABD
(b) area of ∆ACD = area of ∆BCD
(c) area of ∆OAB = area of ∆OCD
(d) area of ∆OAD = area of ∆OBC

Answer :

In the trapezium ABCD, AB || DC

AB ≠ DC

the diagonals AC and BD intersect each other at O

Only statement area of triangle OAB is not equal to area triangle COD

Other all statement are true

(b) area of ∆ACD = area of ∆BCD is correct

—  : End of ML Aggarwal Theorems on Area MCQs Class 9 ICSE Maths Solutions :–

Return to :-  ML Aggarawal Maths Solutions for ICSE  Class-9

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