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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. 
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FAQs on Textbook Solutions: Quadrilaterals - Mathematics Class 6 (Maharashtra Board)

1. What are the different types of quadrilaterals?
Ans. Quadrilaterals can be classified into several types based on their properties. The main types include squares, rectangles, rhombuses, parallelograms, trapezoids, and kites. Each type has unique characteristics, such as equal sides, angles, or parallel sides.
2. How do you calculate the area of a quadrilateral?
Ans. The area of a quadrilateral can be calculated using different formulas depending on its type. For example, for rectangles and squares, the area is found by multiplying length by width. For irregular quadrilaterals, you can divide it into triangles or use the formula: Area = (1/2) × (Diagonal1 × Diagonal2) × sin(Angle between diagonals).
3. What is the sum of the interior angles of a quadrilateral?
Ans. The sum of the interior angles of a quadrilateral is always 360 degrees. This can be understood by dividing the quadrilateral into two triangles, each having interior angles that sum to 180 degrees, thereby giving a total of 360 degrees.
4. How can you identify a parallelogram among quadrilaterals?
Ans. A parallelogram can be identified by checking if both pairs of opposite sides are parallel and equal in length. Additionally, the opposite angles of a parallelogram are equal, and the diagonals bisect each other.
5. What is the difference between a trapezoid and a parallelogram?
Ans. The main difference between a trapezoid and a parallelogram lies in the sides. A trapezoid has only one pair of parallel sides, while a parallelogram has two pairs of opposite sides that are both parallel and equal in length. This distinction affects their properties and area calculations.
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