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 :–

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

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