Textbook Solutions: Quadrilaterals | Mathematics Class 6 (Maharashtra Board) PDF Download

 Page 1


Chapter 16: Quadrilaterals 
 
 
PRACTICE SET 37 [PAGE 85] 
Practice Set 37 | Q 1 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are five sides. 
Hence, the given figure is a Pentagon.  
Practice Set 37 | Q 2 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are six sides. 
Hence, the given figure is Hexagon.  
Practice Set 37 | Q 3 | Page 85 
Observe the figure below and find out their name. 
 
Page 2


Chapter 16: Quadrilaterals 
 
 
PRACTICE SET 37 [PAGE 85] 
Practice Set 37 | Q 1 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are five sides. 
Hence, the given figure is a Pentagon.  
Practice Set 37 | Q 2 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are six sides. 
Hence, the given figure is Hexagon.  
Practice Set 37 | Q 3 | Page 85 
Observe the figure below and find out their name. 
 
SOLUTION 
In the given figure, there are seven sides. 
Hence, the given figure is Heptagon.  
Practice Set 37 | Q 4 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are eight sides. 
Hence, the given figure is Octagon. 
 
PRACTICE SET 38 [PAGES 85 - 86] 
 
Practice Set 38 | Q 1.1 | Page 85 
Draw ?XYZW and name the following: 
The pairs of opposite angles. 
SOLUTION 
 
?X and ?Z; ?Y and ?W 
Practice Set 38 | Q 1.2 | Page 85 
Draw ?XYZW and name the following: 
The pairs of opposite sides. 
Page 3


Chapter 16: Quadrilaterals 
 
 
PRACTICE SET 37 [PAGE 85] 
Practice Set 37 | Q 1 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are five sides. 
Hence, the given figure is a Pentagon.  
Practice Set 37 | Q 2 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are six sides. 
Hence, the given figure is Hexagon.  
Practice Set 37 | Q 3 | Page 85 
Observe the figure below and find out their name. 
 
SOLUTION 
In the given figure, there are seven sides. 
Hence, the given figure is Heptagon.  
Practice Set 37 | Q 4 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are eight sides. 
Hence, the given figure is Octagon. 
 
PRACTICE SET 38 [PAGES 85 - 86] 
 
Practice Set 38 | Q 1.1 | Page 85 
Draw ?XYZW and name the following: 
The pairs of opposite angles. 
SOLUTION 
 
?X and ?Z; ?Y and ?W 
Practice Set 38 | Q 1.2 | Page 85 
Draw ?XYZW and name the following: 
The pairs of opposite sides. 
SOLUTION 
 
seg XY and seg ZW; seg XW and seg YZ 
Practice Set 38 | Q 1.3 | Page 85 
Draw ? XYZW and name the following: 
The pairs of adjacent sides. 
 
SOLUTION 
 
seg XY and seg YZ; seg YZ and seg WZ; seg WZ and seg XW; seg XW and seg XY 
Practice Set 38 | Q 1.4 | Page 85 
Draw ? XYZW and name the following: 
The pairs of adjacent angles. 
SOLUTION 
 
?X and ?Y; ?Y and ?Z; ?Z and ?W; ?X and ?W 
Practice Set 38 | Q 1.5 | Page 85 
Page 4


Chapter 16: Quadrilaterals 
 
 
PRACTICE SET 37 [PAGE 85] 
Practice Set 37 | Q 1 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are five sides. 
Hence, the given figure is a Pentagon.  
Practice Set 37 | Q 2 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are six sides. 
Hence, the given figure is Hexagon.  
Practice Set 37 | Q 3 | Page 85 
Observe the figure below and find out their name. 
 
SOLUTION 
In the given figure, there are seven sides. 
Hence, the given figure is Heptagon.  
Practice Set 37 | Q 4 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are eight sides. 
Hence, the given figure is Octagon. 
 
PRACTICE SET 38 [PAGES 85 - 86] 
 
Practice Set 38 | Q 1.1 | Page 85 
Draw ?XYZW and name the following: 
The pairs of opposite angles. 
SOLUTION 
 
?X and ?Z; ?Y and ?W 
Practice Set 38 | Q 1.2 | Page 85 
Draw ?XYZW and name the following: 
The pairs of opposite sides. 
SOLUTION 
 
seg XY and seg ZW; seg XW and seg YZ 
Practice Set 38 | Q 1.3 | Page 85 
Draw ? XYZW and name the following: 
The pairs of adjacent sides. 
 
SOLUTION 
 
seg XY and seg YZ; seg YZ and seg WZ; seg WZ and seg XW; seg XW and seg XY 
Practice Set 38 | Q 1.4 | Page 85 
Draw ? XYZW and name the following: 
The pairs of adjacent angles. 
SOLUTION 
 
?X and ?Y; ?Y and ?Z; ?Z and ?W; ?X and ?W 
Practice Set 38 | Q 1.5 | Page 85 
Draw ? XYZW and name the following: 
The diagonals of the quadrilateral. 
 
SOLUTION 
 
Diagonal XZ and Diagonal YW 
Practice Set 38 | Q 1.6 | Page 85 
Draw ? XYZW and name the following: 
The name of the quadrilateral in different ways. 
 
SOLUTION 
 
 
Practice Set 38 | Q 2 | Page 86 
In the table below, write the number of sides the polygon has. 
 
Names Quadrilateral Octagon Pentagon Heptagon Hexagon 
Number of 
sides 
          
 
SOLUTION 
 
Names Quadrilateral Octagon Pentagon Heptagon Hexagon 
Number of 
sides 
4 8 5 7 6 
 
Page 5


Chapter 16: Quadrilaterals 
 
 
PRACTICE SET 37 [PAGE 85] 
Practice Set 37 | Q 1 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are five sides. 
Hence, the given figure is a Pentagon.  
Practice Set 37 | Q 2 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are six sides. 
Hence, the given figure is Hexagon.  
Practice Set 37 | Q 3 | Page 85 
Observe the figure below and find out their name. 
 
SOLUTION 
In the given figure, there are seven sides. 
Hence, the given figure is Heptagon.  
Practice Set 37 | Q 4 | Page 85 
Observe the figure below and find out their name. 
 
 
SOLUTION 
In the given figure, there are eight sides. 
Hence, the given figure is Octagon. 
 
PRACTICE SET 38 [PAGES 85 - 86] 
 
Practice Set 38 | Q 1.1 | Page 85 
Draw ?XYZW and name the following: 
The pairs of opposite angles. 
SOLUTION 
 
?X and ?Z; ?Y and ?W 
Practice Set 38 | Q 1.2 | Page 85 
Draw ?XYZW and name the following: 
The pairs of opposite sides. 
SOLUTION 
 
seg XY and seg ZW; seg XW and seg YZ 
Practice Set 38 | Q 1.3 | Page 85 
Draw ? XYZW and name the following: 
The pairs of adjacent sides. 
 
SOLUTION 
 
seg XY and seg YZ; seg YZ and seg WZ; seg WZ and seg XW; seg XW and seg XY 
Practice Set 38 | Q 1.4 | Page 85 
Draw ? XYZW and name the following: 
The pairs of adjacent angles. 
SOLUTION 
 
?X and ?Y; ?Y and ?Z; ?Z and ?W; ?X and ?W 
Practice Set 38 | Q 1.5 | Page 85 
Draw ? XYZW and name the following: 
The diagonals of the quadrilateral. 
 
SOLUTION 
 
Diagonal XZ and Diagonal YW 
Practice Set 38 | Q 1.6 | Page 85 
Draw ? XYZW and name the following: 
The name of the quadrilateral in different ways. 
 
SOLUTION 
 
 
Practice Set 38 | Q 2 | Page 86 
In the table below, write the number of sides the polygon has. 
 
Names Quadrilateral Octagon Pentagon Heptagon Hexagon 
Number of 
sides 
          
 
SOLUTION 
 
Names Quadrilateral Octagon Pentagon Heptagon Hexagon 
Number of 
sides 
4 8 5 7 6 
 
Practice Set 38 | Q 3 | Page 86 
Look for examples of polygons in your surroundings. Draw them. 
 
SOLUTION 
(a) The pattern of football is pentagonal in shape. 
 
(b) Tablet box is heptagonal in shape 
 
(c) Stop sign of traffic signal is in octagonal in shape 
 
(d) Floor tiles are square in shape 
 
Practice Set 38 | Q 4 | Page 86 
We see polygons when we join the tips of the petals of various flowers. Draw these 
polygons and write down the number of sides of each polygon.