Maharashtra Board Solutions Class 6-Maths (Practice Set 37): Chapter 16- Quadrilaterals

Class 6: Maths Chapter 16 solutions. Complete Class 6 Maths Chapter 16 Notes.

Maharashtra Board Solutions Class 6-Maths (Practice Set 37): Chapter 16- Quadrilaterals

Maharashtra Board 6th Maths Chapter 16, Class 6 Maths Chapter 16 solutions

Question 1.
Observe the figures below and find out their names:

Solution:
i. Pentagon (5 sides)
ii. Hexagon (6 sides)
iii. Heptagon (7 sides)
iv. Octagon (8 sides)

Questions and Activities

Question 1.
Observe the figures given below and say which of them are quadrilaterals. (Textbook pg. no. 81)

Solution:
Is a quadrilateral: (i)

Question 2.
Draw a quadrilateral. Draw one diagonal of this quadrilateral and divided it into two triangles. Measures all the angles in the figure. Is the sum of the measures of the four angles of the quadrilateral equal to the sum of the measures of the six angles of the two triangles? Verity that this is so with other quadrilaterals. (Textbook pg. no. 84)
Solution:

m∠PQR = 104°
m∠QRP = 26°
m∠RPQ = 50°
m∠PRS = 34°
m∠RSP = 106°
m∠SPR = 40°
∴ Sum of the measures of the angles of quadrilateral = m∠PQR + m∠QRP + m∠RPQ + m∠PRS + m∠RSP + m∠SPR
= 104° + 26° + 50° + 34° + 106° + 40°
= 360°
Also, we observe that
Sum of the measures of the angles of quadrilateral = Sum of the measures of angles of the two triangles (PQR and PRS)
= (104°+ 26°+ 50°)+ (34° + 106° + 40°)
= 180° + 180°
= 360°
[Note: Students should drew different quadrilaterals and verify the property.]

Question 3.
For the pentagon shown in the figure below, answer the following: (Textbook pg. no. 84)

1. Write the names of the five vertices of the pentagon.
2. Name the sides of the pentagon.
3. Name the angles of the pentagon.
4. See if you can sometimes find players on a field forming a pentagon.

Solution:

1. The vertices of the pentagon are points A, B, C, D and E.
2. The sides of the pentagon are segments AB, BC, CD, DE and EA.
3. The angles of the pentagon are ∠ABC, ∠BCD, ∠CDE, ∠DEA and ∠EAB.
4. The players shown in the above figure form a pentagon. The players are standing on the vertices of

Question 4.
Cut out a paper in the shape of a quadrilateral. Make folds in it that join the vertices of opposite angles. What can these folds be called? (Textbook pg. no. 83)

Solution:
The folds are called diagonals of the quadrilateral.

Question 5.
Take two triangular pieces of paper such that . one side of one triangle is equal to one side of the other. Let us suppose that in ∆ABC and ∆PQR, sides AC and PQ are the equal sides. Join the triangles so that their equal sides lie B side by side. What figure do we get? (Textbook pg. no. 83)

Solution:
If we place the triangles together such that the equal sides overlap, the two triangles form a quadrilateral.

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Maharashtra Board Solutions Class 6-Maths (Practice Set 37): Chapter 16- Quadrilaterals

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Chapterwise Maharashtra Board Solutions Class 6 Maths :

• Chapter 1- Basic Concepts in Geometry (Practice Set 1)
• Chapter 2- Angles (Practice Set 2)
• Chapter 2- Angles (Practice Set 3)
• Chapter 3- Integers (Practice Set 4)
• Chapter 3- Integers (Practice Set 5)
• Chapter 3- Integers (Practice Set 6)
• Chapter 3- Integers (Practice Set 7)
• Chapter 3- Integers (Practice Set 8)
• Chapter 4- Operations on Fractions (Practice Set 9)
• Chapter 4- Operations on Fractions (Practice Set 10)
• Chapter 4- Operations on Fractions (Practice Set 11)
• Chapter 4- Operations on Fractions (Practice Set 12)
• Chapter 4- Operations on Fractions (Practice Set 13)
• Chapter 5- Decimal Fractions (Practice Set 14)
• Chapter 5- Decimal Fractions (Practice Set 15)
• Chapter 5- Decimal Fractions (Practice Set 16)
• Chapter 5- Decimal Fractions (Practice Set 17)
• Chapter 6- Bar Graphs (Practice Set 18)
• Chapter 6- Bar Graphs (Practice Set 19)
• Chapter 7- Symmetry (Practice Set 20)
• Chapter 7- Symmetry (Practice Set 21)
• Chapter 8- Divisibility (Practice Set 22)
• Chapter 9- HCF-LCM (Practice Set 23)
• Chapter 9- HCF-LCM (Practice Set 24)
• Chapter 9- HCF-LCM (Practice Set 25)
• Chapter 10- Equations (Practice Set 26)
• Chapter 10- Equations (Practice Set 27)
• Chapter 11- Ratio-Proportion (Practice Set 28)
• Chapter 11- Ratio-Proportion (Practice Set 29)
• Chapter 12- Percentage (Practice Set 30)
• Chapter 13- Profit-Loss (Practice Set 31)
• Chapter 13- Profit-Loss (Practice Set 32)
• Chapter 13- Profit-Loss (Practice Set 33)
• Chapter 13- Profit-Loss (Practice Set 34)
• Chapter 14- Banks and Simple Interest (Practice Set 35)
• Chapter 15- Triangles and their Properties (Practice Set 36)
• Chapter 16- Quadrilaterals (Practice Set 37)
• Chapter 16- Quadrilaterals (Practice Set 38)
• Chapter 17- Geometrical Constructions (Practice Set 39)
• Chapter 17- Geometrical Constructions (Practice Set 40)
• Chapter 18- Three Dimensional Shapes (Practice Set 41)