ML Aggarwal Theorems on Area MCQs Class 9 ICSE Maths Solutions Ch-14. Step by Step Solutions of MCQs Questions on Theorems on Area of ML Aggarwal for ICSE Class 9th Mathematics. Visit official website CISCE for detail information about ICSE Board Class-9.
ML Aggarwal Theorems on Area MCQs Class 9 ICSE Maths Solutions
| Board | ICSE |
| Subject | Maths |
| Class | 9th |
| Chapter-14 | Theorems on Area |
| Topics | Solution of MCQs Questions |
| Academic Session | 2024-2025 |
Solution of MCQs Questions on Theorems on Area
ML Aggarwal Theorems on Area MCQs Class 9 ICSE Maths Solutions Ch-14
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 : (a) area of ||ABEF = area of rect. CDEF is correct
Hint: 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
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 : (b) 1 : 1 is correct
Hint: A triangle and a parallelogram are on the same base and between same parallel, then
∴ They are equal in area
∴ Their ratio 1:1
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 : (b) 1 : 2 is correct
Hint: 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
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) triangles of equal area is correct
A median of a triangle divides it into two triangle equal in area.
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 : (c) DC x DL is correct
Hint: In the given figure,
Area of ||gm ABCD = AB x DL or DC x DL (∵ AB = DC)
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
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 : (b) area of ∆ACD = area of ∆BCD is correct
Hint: 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
— : 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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