NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.8 explain the problems related to triangles, quadrilaterals, pentagons, hexagons and octagons. These solutions are designed by subject-matter experts at BYJU’S after conducting vast research on each concept. Students can improve their abilities to solve problems in a shorter duration. To understand the concepts well, students can refer to NCERT Solutions Class 6 Maths Chapter 5 Understanding Elementary Shapes Exercise 5.8 provided here.
NCERT Solutions for Class 6 Chapter 5 Understanding Elementary Shapes Exercise 5.8
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Access NCERT Solutions for Class 6 Chapter 5: Understanding Elementary Shapes Exercise 5.8
1. Examine whether the following are polygons. If any one among them is not, say why?
Solutions:
(i) It is not a closed figure. Hence, it is not a polygon.
(ii) It is a polygon made of six sides.
(iii) No, it is not a polygon because it is not made of line segments.
(iv) It is not a polygon, as it is not made of line segments.
2. Name each polygon.
Make two more examples of each of these.
(a) It is a closed figure and is made of four line segments. Hence, the given figure is a quadrilateral. Two more examples are
(b) The given figure is a triangle, as it is a closed figure with 3 line segments. Two more examples are
(c) The given figure is a pentagon, as the closed figure is made of 5 line segments. Two more examples are
(d) The given figure is an octagon, as it is a closed figure made of 8 line segments. Two more examples are
3. Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of triangle you have drawn.
Solutions:
We can draw an isosceles triangle by joining three vertices of a hexagon, as shown in the below figure.
4. Draw a rough sketch of a regular octagon. (Use squared paper if you wish.) Draw a rectangle by joining exactly four of the vertices of the octagon.
Solution:
The below figure is a regular octagon in which a rectangle is drawn by joining four of the vertices of the octagon.
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5. A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.
Solutions:
From the figure, we can find AC, AD, BD, BE and CE are the diagonals.
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NCERT Solutions for Class 6 Maths Chapter 5
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