Rs Aggrawal 2020 2021 Solutions for Class 6 Maths Chapter 17 Quadrilaterals are provided here with simple step-by-step explanations. These solutions for Quadrilaterals are extremely popular among Class 6 students for Maths Quadrilaterals Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rs Aggrawal 2020 2021 Book of Class 6 Maths Chapter 17 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rs Aggrawal 2020 2021 Solutions. All Rs Aggrawal 2020 2021 Solutions for class Class 6 Maths are prepared by experts and are 100% accurate.

#### Page No 202:

#### Answer:

(i) The diagonals are AC, and BD.

(ii) AB and CD, and AD and BC are the two pairs of opposite sides.

(iii) ∠A and ∠C, and ∠B and ∠D are the two pairs of opposite angles.

(iv) AB and BC, and AD and DC are the two pairs of adjacent sides.

(v) ∠A and ∠B, and ∠C and ∠D are the two pairs of adjacent angles.

#### Page No 202:

#### Answer:

Since ABCD is a parallelogram, AB = DC = 6.5 cm and AD = BC = 4.8 cm.

Given:

$\angle \mathrm{A}=70\xb0$

Steps of construction :

1) Draw AD equal to 4.8 cm.

2) Make an angle of 70^{°}^{ }at A and cut an arc of 6.5 cm. Name it B.

3) Cut an arc of 4.8 cm from B and 6.5 cm from D. Name it C.

4) Join AB, BC and CD.

5) Measuring the diagonals AC and BD, we get AC equal to 9.2 cm and BD equal to 6.6 cm.

#### Page No 202:

#### Answer:

Two sides of a parallelogram are in the ratio 4:3.

Let the two sides be 4x and 3x.

In a parallelogram, opposite sides are equal and parallel. So, they are also in the ratio of 4:3, i.e. 4x and 3x.

Perimeter = 4x + 3x + 4x +3x

56 = 14x

x = $\frac{56}{14}$

x = 4

∴ 4x = 16

3x = 12

Length of its sides are 16cm, 12 cm, 16cm and 12cm.

#### Page No 202:

#### Answer:

(i) Rectangle

(ii) Square

(iii) Rhombus

#### Page No 203:

#### Answer:

A trapezium has only one pair of parallel sides.

A trapezium is said to be an isosceles trapezium if its non-parallel sides are equal.

Following are the measures of the isosceles trapezium:

AB = 5.4 cm

BC = 3 cm

DC = 7.4 cm

AD = 3 cm

$\angle A=\angle B=110\xb0\phantom{\rule{0ex}{0ex}}\angle D=\angle C=70\xb0\phantom{\rule{0ex}{0ex}}$

#### Page No 203:

#### Answer:

(a) False

(b) False

(c) False

#### Page No 203:

#### Answer:

(a) This is because a rectangle with equal sides becomes a square.

(b) This is because a rhombus with each angle a right angle becomes a square.

(c) This is because a parallelogram with each angle a right angle becomes a rectangle.

(d) This is because in a square opposite sides are parallel.

#### Page No 203:

#### Answer:

A square is a regular quadrilateral all of whose sides are equal in length and all of whose angles are equal in measure.

#### Page No 203:

#### Answer:

(c) 360°

The sum of all the angles of a quadrilateral is 360^{°}.

#### Page No 203:

#### Answer:

(c) 90°

The three angles of a quadrilateral are 80°, 70° and 120°.

Let the fourth angle be x.

We know that the sum of all the angles of a quadrilateral is 360°.

80° + 70° + 120° + x = 360°

⇒ 270° + x = 360°

^{ }⇒ x = 360° − 270°

^{ }⇒ x = 90°

Thus, the fourth angle is 90°.

#### Page No 203:

#### Answer:

Let the angles of a quadrilateral be (3x)^{°}, (4x)^{°}, (5x)^{° }and (6x)^{°}.

Sum of all the angles of a quadrilateral is 360^{°}.

∴ 3x + 4x + 5x + 6x = 360°

⇒ 18x = 360°

⇒ x = __ __$\frac{360}{18}$

⇒ x = 20°

So,

3x = 60°

4x = 80°

5x = 100°

6x = 120°

The largest of these angles is 120°.

So, the correct answer is given in option (b).

#### Page No 203:

#### Answer:

(d) a trapezium

A trapezium is a quadrilateral that has only one pair of parallel sides.

#### Page No 203:

#### Answer:

(d) a parallelogram

A parallelogram is a quadrilateral whose opposite sides are parallel.

#### Page No 203:

#### Answer:

(b) equal nonparallel sides

The non-parallel sides of an isosceles trapezium are equal.

#### Page No 203:

#### Answer:

(b) a rhombus

The diagonals of a rhombus bisect each other at right angle.

#### Page No 203:

#### Answer:

(b) all sides equal and diagonals equal

In a square, all the sides are equal. All of its diagonals are also equal.

#### Page No 203:

#### Answer:

(c) kite

A kite has two pairs of equal adjacent sides, but unequal opposite sides.

#### Page No 203:

#### Answer:

(c) A square

The only regular quadrilateral is a square. This is because all of its sides and angles are equal.

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