{"id":553833,"date":"2021-11-02T10:59:09","date_gmt":"2021-11-02T10:59:09","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=553833"},"modified":"2021-11-03T06:00:21","modified_gmt":"2021-11-03T06:00:21","slug":"rs-aggarwal-solutions-for-class-6-maths-chapter-17-quadrilaterals","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/rs-aggarwal-solutions-for-class-6-maths-chapter-17-quadrilaterals\/","title":{"rendered":"RS Aggarwal Solutions for Class 6 Maths Chapter 17\u2013Quadrilaterals"},"content":{"rendered":"\n

Class 6: Maths Chapter 17 solutions. Complete Class 6 Maths Chapter 17 Notes.<\/p>\n\n\n\n

RS Aggarwal Solutions for Class 6 Maths Chapter 17\u2013Quadrilaterals<\/h2>\n\n\n\n

RS Aggarwal 6th Maths Chapter 17, Class 6 Maths Chapter 17 solutions<\/p>\n\n\n\n

Ex 17A Solutions<\/h4>\n\n\n\n

Question 1.<\/strong>
Solution:<\/strong>
In the figure, a quadrilateral
(i) Its diagonals are AC and BD
(ii) Two pairs of opposite sides are AB, CD and AD, BC
(iii) Two pairs of opposite angles are \u2220A, \u2220C and \u2220B, \u2220D
(iv) Two pairs of adjacent sides are AB, BC and CD and DA
(v) Two pairs of adjacent angles are \u2220A, \u2220B and \u2220B, \u2220C<\/p>\n\n\n\n

Question 2.<\/strong>
Solution:<\/strong>
Steps of construction :
(i) Draw a line segment AB = 6.5 cm.
<\/p>\n\n\n\n

\"RS<\/figure>\n\n\n\n

(ii) At A, draw a ray AE making an angle of 70\u00b0 with the help of the protractor and cut off AD = 4.8 cm.
(iii) With centre B and radius 4.8 cm and with centre D and radius 6.5 cm, draw two arcs intersecting each other at C.
(iv) Join BC and DC. Then ABCD is the required parallelogram.
(v) Join AC and BD which measures 9.3 cm and 6.6 cm respectively.<\/p>\n\n\n\n

Question 3.<\/strong>
Solution:<\/strong>
Perimeter of the parallelogram = 56 cm
Ratio in sides = 4 : 3
Let first side = 4x
Then second side = 3x
Perimeter = 2 x sum of two sides
=> 56 = 2 x (4x + 3x)
=> 7x \u00d7 2 = 56
=> 14x = 56
=> x = 5614
= 4
First side = 4x = 4 \u00d7 4 = 16 cm and second side = 3x = 3 \u00d7 4 = 12 cm. Ans.<\/p>\n\n\n\n

Question 4.<\/strong>
Solution:<\/strong>
(a) A parallelograms whose diagonals are equal and adjacent sides are unequal, is a rectangle.
(b) A parallelogram whose diagonal are equal and also side are equal, is a. square.
(c) A parallelogram whose diagonal are unequal but adjacent sides are equal is a rhombus.<\/p>\n\n\n\n

Question 5.<\/strong>
Solution:<\/strong>
A quadrilateral whose one pair of opposite sides are equal but other pair non parallel, is called a trapezium
When the non-parallel sides of a trapezium are equal, then it is called an isosceles trapezium.
ABCD is an isosceles trapezium in which
AD = BC
Then \u2220DAB = \u2220CBA
On measuring, AD = BC = 3 cm
and \u2220DAB = \u2220CBA = 60\u00b0
<\/p>\n\n\n\n

\"RS<\/figure>\n\n\n\n

Question 6.<\/strong>
Solution:<\/strong>
(a) False , Diagonals of a parallelogram are not equal.
(b) False , Diagonals of a rectangle do not bisect each other at right angles.
(c) False , Diagonals of a rhombus are not equal.<\/p>\n\n\n\n

Question 7.<\/strong>
Solution:<\/strong>
(a) Because if each side of a rectangle are equal it is called a square.
(b) Square is a special rhombus if its each angle is equal i.e., of 90\u00b0.
(c) If in a parallelogram, if each angle is of 90\u00b0, it is called a rectangle.
(d) A square is a parallelogram whose each side and each angle are equal.<\/p>\n\n\n\n

Question 8.<\/strong>
Solution:<\/strong>
A regular quadrilateral is a quadrilateral if its each side and angles are equal square is a regular quadrilateral.<\/p>\n\n\n\n

Ex 17B Solutions<\/h4>\n\n\n\n

Objective questions<\/strong>
Mark against the correct answer in each of the following :<\/strong><\/p>\n\n\n\n

Question 1.<\/strong>
Solution:<\/strong>
(c) \u2235 Sum of angles of a quadrilateral is 360\u00b0.<\/p>\n\n\n\n

Question 2.<\/strong>
Solution:<\/strong>
Sum of 4 angles of a quadrilateral = 360\u00b0 and three angles of a quadrilateral are 80\u00b0, 70\u00b0 and 120\u00b0
\u2235 Fourth angle = 360\u00b0 \u2013 (80\u00b0 + 70\u00b0 + 120\u00b0)
= 360\u00b0 \u2013 270\u00b0 \u2013 90\u00b0 (c)<\/p>\n\n\n\n

Question 3.<\/strong>
Solution:<\/strong>
Sum of angles of a quadrilateral = 360\u00b0
The ratio in there four angles is 3 : 4 : 5 : 6
<\/p>\n\n\n\n

\"RS<\/figure>\n\n\n\n

Question 4.<\/strong>
Solution:<\/strong>
(d) Y Quadrilateral having one pair of parallel sides is a trapezium.<\/p>\n\n\n\n

Question 5.<\/strong>
Solution:<\/strong>
(d) \u2235 Quadrilateral having opposite sides parallel is called a parallelogram.<\/p>\n\n\n\n

Question 6.<\/strong>
Solution:<\/strong>
(b) \u2235 A trapezium having nonparallel sides equal is called an isosceles trapezium.<\/p>\n\n\n\n

Question 7.<\/strong>
Solution:<\/strong>
(b) \u2235 Diagonals of a rhombus bisect each other at right angles.<\/p>\n\n\n\n

Question 8.<\/strong>
Solution:<\/strong>
(b) \u2235 A square has four equal sides and also diagonals are equal.<\/p>\n\n\n\n

Question 9.<\/strong>
Solution:<\/strong>
A quadrilateral having two pairs of equal adjacent sides but unequal opposite angles is called a kite. (c)<\/p>\n\n\n\n

Question 10.<\/strong>
Solution:<\/strong>
A regular quadrilateral is a quadrilateral having equal sides and equal angles which is a square. (c)<\/p>\n\n\n\n

RS Aggarwal Solutions for Class 6 Maths Chapter 17: Download PDF<\/strong><\/h2>\n\n\n\n

RS Aggarwal Solutions for Class 6 Maths Chapter 17\u2013Quadrilaterals<\/p>\n\n\n\n

Download PDF<\/strong>: RS Aggarwal Solutions for Class 6 Maths Chapter 17\u2013Quadrilaterals PDF<\/a><\/p>\n\n\n\n

Chapterwise RS Aggarwal Solutions for Class 6 Maths :<\/strong><\/h2>\n\n\n\n