ML Aggarwal Mid Point Theorem MCQs Class 9 ICSE Maths Solutions Ch-11. Step by Step Answer of MCQs on Mid Point Theorem of ML Aggarwal for ICSE Class 9th Mathematics. Visit official website CISCE for detail information about ICSE Board Class-9.
ML Aggarwal Mid Point Theorem MCQs Class 9 ICSE Maths Solutions Ch-11
| Board | ICSE |
| Subject | Maths |
| Class | 9th |
| Chapter-11 | Mid Point Theorem |
| Topics | Solution of MCQs |
| Academic Session | 2024-2025 |
MCQs on Mid Point Theorem
ML Aggarwal Mid Point Theorem MCQs Class 9 ICSE Maths Solutions Ch-11
Question 1. In a ∆ABC, AB = 3 cm, BC = 4 cm and CA = 5 cm. If D and E are mid-points of AB and BC respectively, then the length of DE is
(a) 1.5 cm
(b) 2 cm
(c) 2.5 cm
(d) 3.5 cm
Answer : (c) 2.5 cm is correct
Hint : In ∆ABC, D and E are the mid-points of sides AB and BC
DE = 1/2 Ac
But AC = 5 cm
DE = 1/2 x 5
= 5/2 cm
= 2.5 cm
Question 2. In the given figure, ABCD is a rectangle in which AB = 6 cm and AD = 8 cm. If P and Q are mid-points of the sides BC and CD respectively, then the length of PQ is
(a) 7 cm
(b) 5 cm
(c) 4 cm
(d) 3 cm
Answer : (b) 5 cm is correct
Hint : In the figure, ABCD is a rectangle AB = 6 cm AD = 8 cm
P and Q are mid-points of BC and CD
PQ = 1/2 BD
But BD = 
Question 3. D and E are mid-points of the sides AB and AC of ∆ABC and O is any point on the side BC. O is joined to A. If P and Q are mid-points of OB and OC respectively, then DEQP is
(a) a square
(b) a rectangle
(c) a rhombus
(d) a parallelogram
Answer : (d) a parallelogram is correct
Hint: To find Type of quadrilateral of DEQP.
In ΔABC,D&E are the respective mid points of AB & AC.
∴DE ∥ (BC or PQ) ….(1)
Again in ΔABO,P&D are the respective mid points of AB & BO
∴DP ∥ AO … (2)
in ΔACO,EQ ∥ AO …(3)
∴ From (2) & (3), we get
DP ∥ EQ … (4)
∴ From (1) & (4), we have
DE ∥ PQ and DP ∥ EQ
Question 4. The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle if
(a) PQRS is a parallelogram
(b) PQRS is a rectangle
(c) the diagonals of PQRS are perpendicular to each other
(d) the diagonals of PQRS are equal.
Answer : (c) the diagonals of PQRS are perpendicular to each other is correct
Hint : A, B, C and D are the mid-points of the sides PQ, QR, RS and SP respectively
The quadrilateral formed by joining the mid-points A, B, C, D is ABCD
ABCD will be rectangle if the diagonal of PQRS bisect each other
Question 5. The quadrilateral formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a rhombus if
(a) ABCD is a parallelogram
(b) ABCD is a rhombus
(c) the diagonals of ABCD are equal
(d) the diagonals of ABCD are perpendicular to each other.
Answer : (c) the diagonals of ABCD are equal is correct
Hint: P, Q, R and S are the mid-points of the quadrilateral ABCD and a quadrilateral is formed by joining the mid-points in order
PQRS will be a rhombus if the diagonals of ABCD are equal
Question 6. The figure formed by joining the mid points of the sides of a quadrilateral
ABCD, taken in order, is a square only if
(a) ABCD is a rhombus r
(b) diagonals of ABCD are equal
(c) diagonals of ABCD are perpendicular to each other
(d) diagonals of ABCD are equal and perpendicular to each other.
Answer : (d) diagonals of ABCD are equal and perpendicular to each other. is correct
Hint:
PQRS are the mid point of the quadrilateral ABCD and a quadrilateral is formed by joining them in order.
— : End of ML Aggarwal Mid Point Theorem MCQs Class 9 ICSE Maths Solutions :–
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